CHAOS, SOLITONS AND FRACTALS

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CHAOS, SOLITONS AND FRACTALS

ISSN 0960-0779

: Volume 8, Issue 7-8, July/August 1997
: Volume 8, Issue 6, June 1997
: Volume 8, Issue 5, May 1997
: Volume 8, Issue 4, April 1997 Special Issue: Nonlinearities in Mechanical Engineering
: Volume 8, Issue 3, March 1997
: Volume 8, Issue 2, February 1997 Special Issue. Application of Fractals in Material Science and Engineering
: Volume 8, Issue 1, January 1997
: Volume 7, Issue 12, December 1996 Complex Dynamics in Economics and Social Systems
: Volume 7, Issue 11, November 1996
: Volume 7, Issue 10, October 1996 Special Issue: Non-Linear Dynamics and Chaos in Mechanical Systems
: Volume 7, Issue 9, September 1996
: Volume 7, Issue 8, August 1996
: Volume 7, Issue 7, July 1996
: Volume 7, Issue 6 Special Issue Fractal Space - Time and Cantorian Geometry in Quantum Mechanics, June 1996
: Volume 7, Issue 5, May 1996
: Volume 7, Issue 4 Special Issue Time Symmetry Breaking in Classical and Quantum Mechanics, April 1996
: Volume 7, Issue 3, March 1996
: Volume 7, Issue 2, February 1996
: Volume 7, Issue 1, January 1996
: Volume 5, Issue 12 Special Issue: Solitons in Science and Engineering: Theory and Applications, December 1995
: Volume 5, Issue 11, November 1995
: Volume 5, Issue 10 Special Issue: Structure Formation in Continuous Dynamical Systems, October 1995
: Volume 5, Issue 9 Special Issue: Some Nonlinear Oscillations Problems in Engineering Sciences, September 1995
: Volume 5, Issue 8, August 1995
: Volume 5, Issue 7 Special Issue: Quantum Chaos: Present and Future, July 1995
: Volume 5, Issue 6, June 1995
: Volume 5, Issue 5, May 1995
: Volume 5, Issue 3-4 Special Issue: Nonlinear Phenomena in Excitable Physiological System, 4 March 1995
: Volume 5, Issue 2 Special Issue: Decidability and Predictability in the Theory of Dynamical, February 1995
: Volume 5, Issue 1, January 1995

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Volume 5, Issue 1, January 1995

Properties of the Weierstrass Function in the Time and Frequency Domains
Nicoletti, D.
page 1-8
Fractal Based Surface Characterization of Laser Treated Polymer Foils
Nanai, L., Vass, A., Ignacz, F. and Vajtai, R.
page 9-14
Dimerized Island Chains in Tokamaks
Oda, G.A. and Caldas, I.L.
page 15-23
On Hyperbolic Surfaces: Moving Triad and Loewner System Connections
Schief, W.K., Rogers, C. and Johnston, M.E.
page 25-34
The Chaotic Monopolist
Puu, T.
page 35-44
Complex Optimal Policies in an Advertising Diffusion Model
Dawid, H. and Feichtinger, G.
page 45-53
Bifurcations Near 1:2 Subharmonic Resonance in a Structural Dynamics Model
Kloster, N. and Knudsen, C.
page 55-66
Integrable Difference Analogue of the Logistic Equation and Ba_cklund Transformation of the KP Hierarchy
Saitoh, N., Saito, S. and Shimizu, A.
page 67-76
Do Ergodic or Chaotic Properties of the Reflection Law Imply Ergodicity or Chaotic Behavior of a Particle's Motion?
Szczepanski, J. and Wajnryb, E.
page 77-89
Conditional Simulation of Non-Gaussian Random Fields for Earthquake Monitoring Systems
Ren, Y.J., Elishakoff, I. and Shinozuka, M.
page 91-101
Records of the Florentine proveditori degli cambiatori: an Example of an Antipersistent Time Series in Economics
Otway, T.H.
page 103-107
Algebraic Approach to the Eigenstates of the Quantum Calogero Model Confined in an External Harmonic Well
Ujino, H. and Wadati, M.
page 109-118
Painleve_ Property of the Inhomogeneous Coupled Nonlinear Schro_dinger Equations
Porsezian, K. and Sundaram, P.S.
page 119-124
Period-harmonic-tupling Jumps to Chaos and Fractal-scaling in a Class of Series
Woon, S.C.
page 125-130
Transitivity of orbits of maps symmetric under compact Lie groups, Chaos, Solitons _ Fractals, 4(5), 621-634 (1994)
Ashwin, P., Chossat, P. and Stewart, I.
page 131

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Volume 5, Issue 2 Special Issue: Decidability and Predictability in the Theory of Dynamical, February 1995

Uncertainty, Predictability and Decidability in Chaotic Dynamical Systems
Rasetti, M.
page 133-138
In what Sense can a Deterministic System be Random?
Ornstein, D.S.
page 139-141
Randomness in Arithmetic and the Decline and Fall of Reductionism in Pure Mathematics
Chaitin, G.J.
page 143-159
Undecidability and Chaos in Word-coded Symbolic Dynamics
Agnes, C. and Rasetti, M.
page 161-175
Codimension-one Partitioning and Phase Space Transport in Multi-degree-of-freedom Hamiltonian Systems with Non-toroidal Invariant Manifold Intersections
Beigie, D.
page 177-211
Externally Induced Changes in Chaotic Behaviour: a Phase Transition
Kluiving, R., Capel, H.W. and Pasmanter, R.A.
page 213-228
Quantum Eigenstates of a Strongly Chaotic System and the Scar Phenomenon
Aurich, R. and Steiner, F.
page 229-255
Scaling, Perturbative Renormalization and Analyticity for the Standard Map and some Generalizations
Berretti, A. and Marmi, S.
page 257-269
Local Bifurcations on the Plane with Reversing Point Group Symmetry
Lamb, J.S.W. and Capel, H.W.
page 271-293
Chaotic System on the Super Riemann Surface
Matsumoto, S., Uehara, S. and Yasui, Y.
page 295-316

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Volume 5, Issue 3-4 Special Issue: Nonlinear Phenomena in Excitable Physiological System, 4 March 1995

Nonlinear Phenomena in Excitable Physiological Systems
Holden, A.V.
page 317-318
The Development of Mathematical Models of the Heart
Noble, D.
page 321-333
Calcium Handling in Isolated Guinea-pig Ventricular Myocytes
Bett, G.C.L.
page 335-346
Periodic Behaviour in Automatic and Non-automatic Cardiac Cells
Landau, M. and Lorente, P.
page 347-357
Dynamic Equilibria and Oscillations of a Periodically Stimulated Excitable System
Brown, D., Foweraker, J.P.A. and Marrs, R.W.
page 359-369
Biology and the Role of Mechanoelectric Feedback in the Heart
Lab, M.J., Murphy, C. and Horner, S.
page 371-381
A Simple Model for Excitation-Contraction Coupling in the Heart
Pelce, P., Sun, J. and Langeveld, C.
page 383-391
Negative Viscosity and Nonlinear Elasticity of Muscle Cross-bridges
Thomas, N. and Thornhill, R.A.
page 393-406
Mathematical Modelling of Weakly Nonlinear Pulses in a Retinal Neuron
Taylor, G.C., Coles, J.A. and Eilbeck, J.C.
page 407-413
Numerical Experiments in a Modified Beeler-Reuter Cable Model: Initiating Fast (Na) and Slow (Ca) Waves
Romashko, D.N. and Starmer, C.F.
page 417-424
Atrial Modulation of Sinoatrial Pacemaker Rate
Boyett, M., Holden, A.V., Kodama, I., Suzuki, R. and Zhang, H.
page 425-438
Phase Breaks and Chaos in a Chain of Diffusively Coupled Oscillators
Aliev, R.R. and Vasiev, B.N.
page 439-445
Oscillations and Waves of Intracellular [Ca²⁺] in Cardiac Muscle Cells
Orchard, C.H., Mustafa, M.R. and White, E.
page 447-458
Generic Excitable Dynamics on a Two-dimensional Map
Chialvo, D.R.
page 461-479
Measurements of Curvature in an Ionic Model of Cardiac Tissue
Cabo, C., Pertsov, A.M., Baxter, W.T., Davidenko, J.M. and Jalife, J.
page 481-489
Generation and Propagation of Normal and Abnormal Pacemaker Activity in Network Models of Cardiac Sinus Node and Atrium
Winslow, R.L., Cai, D., Varghese, A. and Lai, Y.
page 491-512
Dynamics of Rotating Vortices in the Beeler-Reuter Model of Cardiac Tissue
Efimov, I.R., Krinsky, V.I. and Jalife, J.
page 513-526
Wave Propagation and Curvature Effects in a Model of Excitable Media
Courtemanche, M.
page 527-542
Reaction-Diffusion Waves in the Vicinity of Obstacles: The Eikonal Approach
Gibbs, S.P. and Gomatam, J.
page 543-553
One-way blocks in Excitable Media
Grindrod, P.
page 555-565
Heart Tissue Simulations by Means of Chemical Excitable Media
Aliev, R.R.
page 567-574
Resonant Drift of Autowave Vortices in Two Dimensions and the Effects of Boundaries and Inhomogeneities
Biktashev, V.N. and Holden, A.V.
page 575-622
Propagating Beats and Fibrillation in a Cellular Automata Model of an Excitable Medium
Wilby, M.R.
page 623-634
Spiral Wave Breakdown in an Excitable Medium Model of Cardiac Tissue
Zhang, H. and Patel, N.
page 635-643
Spiral Wave Dynamics
Diks, C., Hoekstra, B. and Degoede, J.
page 645-660
Chaotic Meander of Spiral Waves in the FitzHugh-Nagumo System
Zhang, H. and Holden, A.V.
page 661-670
Three-dimensional Kinematics
Mikhailov, A.S.
page 673-679
Re-entry in an Anatomical Model of the Heart
Panfilov, A. and Keener, J.P.
page 681-689
Reconstructing the Heart
Holden, A.V., Poole, M.J. and Tucker, J.V.
page 691-704
Load-dependent Period-doubling Bifurcations in the Heart of the Anaesthetized Pig
Murphy, C.F., Dick, D.J., Horner, S.M., Zhou, B., Harrison, F. and Lab, M.J.
page 707-712
Correlation Dimension Estimation from Electrocardiograms
Casaleggio, A., Corana, A. and Ridella, S.
page 713-726

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Volume 5, Issue 5, May 1995

Numerical Simulation of a Ship Capsizing in Irregular Waves
Senjanovic, I. and Fan, Y.
page 727-737
A Natural Model and a Parallel Algorithm for Approximately Solving the Maximum Weighted Independent Set Problem
Afif, M., Likas, A. and Paschos, V.Th.
page 739-746
Neural Cooperating Procedure for Fractal Analysis of Artificial Drawings
Apolloni, B., Arduini, G., Braghieri, S. and Piccolboni, A.
page 747-760
Bifurcation Phenomena of the Non-associative Octonionic Quadratic
Kricker, A. and Joshi, G.
page 761-782
Symmetry-breaking and Fractal Dependence on Initial Conditions in Dynamical Systems: One-dimensional Noninvertible Mappings
Okninski, A., Rynio, R. and Peinke, J.
page 783-796
On the Chaotic Behaviour of Forced Fluidized Bed Catalytic Reactors
Elnashaie, S.S.E.H. and Abashar, M.E.
page 797-831
Improved Finite Element Method for Stochastic Problems
Elishakoff, I., Ren, Y.J. and Shinozuka, M.
page 833-846
Intermittency Transition to Chaos in the Response of a Loosely Supported Cylinder in an Array in Cross-flow
Mureithi, N.W., Paidoussis, M.P. and Price, S.J.
page 847-867
The Power of the Maupertuis-Jacobi Principle--Dreams and Reality
Biesiada, M.
page 869-879
A Note on Quantum Mechanics, Diffusional Interference and Informions
El Naschie, M.S.
page 881-884

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Volume 5, Issue 6, June 1995

Neural Dynamics Modelled by One-dimensional Circle Maps
Zeller, M., Bauer, M. and Martienssen, W.
page 885-893
Random Walk and Chaos of the Spectrum. Solvable Model
Malozemov, L.
page 895-907
Lower Bounds for the Hausdorff Dimension of n-Dimensional Self-affine Sets
Paulsen, W.H.
page 909-931
Chaotic Behaviour of an Acetylcholinesterase Enzyme System
Elnashaie, S.S.E.H., Ibrahim, G. and Teymour, F.A.
page 933-954
Buckling Mode Localization in a Multi-span Periodic Structure with a Disorder in a Single Span
Li, Y.W., Elishakoff, I. and Starnes, J.H. Jr
page 955-969
Generalization of the Mandelbrot Set: Quaternionic Quadratic Maps
Gomatam, J., Doyle, J., Steves, B. and McFarlane, I.
page 971-986
Fractal Calculus on [0, 1]
Giona, M.
page 987-1000
Chaotic Orbits and Bifurcation from a Fixed Point Generated by an Iterated Function System
Bahar, S.
page 1001-1006
A Parametric Nonlinear Schrodinger Equation and Stability Criterion
El-Dib, Y.O.
page 1007-1012
A Baseband Soliton Oscillator
Ballantyne, G.J., Gough, P.T. and Taylor, D.P.
page 1013-1029
On the Nature of Complex Time, Diffusion and the Two-slit Experiment
El Naschie, M.S.
page 1031-1032

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Volume 5, Issue 7 Special Issue: Quantum Chaos: Present and Future, July 1995

Introduction to Quantum Chaos
Nakamura, K.
page 1035-1048
Dynamics Beyond the Adiabatic Approximation
Bulgac, A. and Kusnezov, D.
page 1051-1067
The Many Faces of Quantum Chaos
Peres, A.
page 1069-1075
1/f² Law in One-dimensional Quantum Transport: an Example of Weak Chaos in Quantum Systems
Haga, T., Takane, Y. and Nakamura, K.
page 1077-1083
Normal Modes of Billiards Portrayed in the Stellar (or Nodal) Representation
Tualle, J.-M. and Voros, A.
page 1085-1102
Chaos and Quantum Chaos in Cosmological Models
Graham, R.
page 1103-1122
Spectral Aspects of the Microwave Ionization of Atomic Rydberg States
Buchleitner, A. and Delande, D.
page 1125-1141
On the Classical-Quantum Correspondence for Periodically Time Dependent Systems
Holthaus, M.
page 1143-1167
On the Quantum Cat and Sawtooth Maps -- Return to Generic Behaviour
Lakshminarayan, A. and Balazs, N.L.
page 1169-1179
Level Curvatures and Many-spin Quantum Systems
Gaspard, P. and Van Ede Van der Pals, P.
page 1183-1193
Recent Developments in the Energy Level Statistics in Generic Systems Between Integrability and Chaos
Robnik, M.
page 1195-1218
Scaling Properties of Spectra and Eigenfunctions for Quantum Dynamical and Disordered Systems
Izrailev, F.M.
page 1219-1234
Parametric Variation of Resonances for Regular and Chaotic Scattering
Burgdorfer, J., Xiazhou, Y. and Muller, J.
page 1235-1273
Brownian-motion Model of Discrete Spectra
Pandey, A.
page 1275-1285
Quantization of Sinai's Billiard -- A Scattering Approach
Schanz, H. and Smilansky, U.
page 1289-1309
Quantum Chaos on Constant Negative Curvature Surfaces
Bogomolny, E.B., Georgeot, B., Giannoni, M.-J. and Schmit, C.
page 1311-1323
Classical and Semiclassical Zeta Functions in Terms of Transition Probabilities
Tanner, G. and Wintgen, D.
page 1325-1336
Polygonal Billiards: Correspondence between Classical Trajectories and Quantum Eigenstates
Shimizu, Y. and Shudo, A.
page 1337-1362
Information Dissipation in Quantum-chaotic Systems: Computational View and Measurement Induction
Igeta, K. and Ogawa, T.
page 1365-1379
Classical and Quantum Chaos from Continuous Quantum Measurements
Mensky, M.B.
page 1381-1387
On the Initial Singularity and the Banach-Tarski Theorem
El Naschie, M.S.
page 1391-1392

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Volume 5, Issue 8, August 1995

Integrals, Entropy and Chaos
McCauley, J.L.
page 1393-1395
Chaos, Entropy and Integrals for Discrete Dynamical Systems on Lattices
Palmore, J.
page 1397-1418
Quantum Integrability and Action Operators in Spin Dynamics
Weigert, S. and Muller, G.
page 1419-1438
Adaptive Performance and the Mechanisms of Behavior: Pavlov's Dog, the Skinner Box, and the Balancing Act
Gomez, A.V. and Alstr_m, P.
page 1439-1446
A Theory of Patterns
Gunaratne, G.H.
page 1447-1454
Relative Diffusion in a Chaotic System: Capillary Waves in the Faraday Experiment
Alstr_m, P., Andersen, J.S., Goldburg, W.I. and Levinsen, M.T.
page 1455-1464
Multifractals and Lagrangian Field Theory
Eyink, G.L.
page 1465-1473
Fractional Dynamics, Irreversibility and Ergodicity Breaking
Hilfer, R.
page 1475-1484
Influence of Multifractal Scaling of Pore Geometry on Permeabilities of Sedimentary Rocks
Muller, J., Huseby, O.K. and Saucier, A.
page 1485-1492
Integrability of Flows in Phase Space
McCauley, J.L.
page 1493-1500
Banach-Tarski Theorem and Cantorian Micro Space-time
El Naschie, M.S.
page 1503-1508
Physiological Singularities in Respiratory and Cardiac Dynamics
Zbilut, J.P., Zak, M. and Webber, C.L. Jr
page 1509-1516
Buckling Mode Localization in Elastic Plates due to Misplacement in the Stiffener Location
Elishakoff, I., Li, Y.W. and Starnes, J.H. Jr
page 1517-1531
Frustration Induced Chaos in a System of Coupled ODE's
Bersini, H. and Calenbuhr, V.
page 1533-1549
On Conjugate Complex Time and Information in Relativistic Quantum Theory
El Naschie, M.S.
page 1551-1555
On the Uncertainty of Information in Quantum Space-time
El Naschie, M.S.
page 1557

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Volume 5, Issue 9 Special Issue: Some Nonlinear Oscillations Problems in Engineering Sciences, September 1995

Dynamical Systems as Models for Flow-induced Vibrations
Van Der Burgh, A.H.P.
page 1563-1577
Rotor-to-Stator, Rub-related, Thermal/Mechanical Effects in Rotating Machinery
Goldman, P. and Muszynska, A.
page 1579-1601
Non-Linear Optimal Control of a Semi-Active Vehicle Suspension System
Gordon, T.J.
page 1603-1617
The Motion of a Mass Hanging from an Overhead Crane
Huilgol, R.R., Christie, J.R. and Panizza, M.P.
page 1619-1631
The Fractal Structure of Quasi-periodic Solutions of Hamiltonian Systems
Marchal, C.
page 1633-1649
Periodic Solutions of some Semilinear Wave Equations and Systems: a Survey
Mawhin, J.
page 1651-1669
Calculation of Lyapunov Exponents for Dynamic Systems with Discontinuities
Muller, P.C.
page 1671-1681
Chaotic Responses of Unbalanced Rotor/Bearing/Stator Systems with Looseness or Rubs
Muszynska, A. and Goldman, P.
page 1683-1704
Mechanical and Numerical Modelling of Fluid-Structure Vibration Instabilities of Liquid Propelled Launch Vehicle
Ohayon, R. and Morand, H.
page 1705-1724
Oscillations and Chaotic Behaviour of Unstable Railway Wagons over Large Distances
Pascal, J.P.
page 1725-1753
Remarks on Bifurcations with Symmetry
Pomeau, Y.
page 1755-1761

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Volume 5, Issue 10 Special Issue: Structure Formation in Continuous Dynamical Systems, October 1995

Fingering Patterns and their Fractal Dimensions
Auerbach, D. and Strobel, G.
page 1765-1773
Stochastic Resonance in Optical Bistable Systems: Amplification and Generation of Higher Harmonics
Bartussek, R., Jung, P. and Hanggi, P.
page 1775-1778
Scaling Properties in MHD Turbulence
Biskamp, D.
page 1779-1793
Tertiary and Quarternary Solutions for Convection in a Vertical Fluid Layer Heated from the Side
Clever, R.M. and Busse, F.H.
page 1795-1803
On the Bifurcation Phenomena in Truncations of the 2D Navier-Stokes Equations
Feudel, F. and Seehafer, N.
page 1805-1816
Dynamics of Concentration Patterns of the NO + CO Reaction on Pt: Analysis with the Karhunen-Loeve Decomposition
Graham, M.D., Kevrekidis, I.G., Hudson, J.L., Veser, G., Krischer, K. and Imbihl, R.
page 1817-1831
Convergence of a Chaotic Attractor with Increased Spatial Resolution of the Ginzburg-Landau equation
Jolly, M.S., Temam, R. and C., X.
page 1833-1845
Self-organized Critical Dynamics of Fronts: Intermittency and Multiscaling
Falk, J., Sneppen, K. and Jensen, M.H.
page 1847-1854
Isotropic and Anisotropic Turbulence in Clebsch Variables
Falkovich, G. and L'Vov, V.S.
page 1855-1869
No-feedback Control and Slaving Principles in Intermittent Wake Flows
Ohle, F.
page 1871-1880
Structure Formation in Cavitation Bubble Fields
Parlitz, U., Scheffczyk, C., Akhatov, I. and Lauterborn, W.
page 1881-1891
Symmetry Breaking in Distributed Systems and Modulational Spatio-Temporal Intermittency
Kurths, J. and Pikovsky, A.S.
page 1893-1899
Complex Flow of Granular Material in a Rotating Cylinder
Poschel, T. and Buchholtz, V.
page 1901-1912
A Newton-Picard Shooting Method for Computing Periodic Solutions of Large-scale Dynamical Systems
Roose, D., Lust, K., Champneys, A. and Spence, A.
page 1913-1925
One-dimensional Domains in Systems with Long-range Inhibition
Bartussek, R., Zulicke, Ch. and Schimansky-Geier, L.
page 1927-1934
Analysis of Laboratory Surface Wave Data using the Scattering Transform for the Periodic Korteweg-de Vries
Segre, E., Boffetta, G., Osborne, A.R. and Petti, M.
page 1935-1943
The Role of Particle Collisions for the Dynamics in Planetary Rings
Spahn, F., Hertzsch, J. and Brilliantov, N.V.
page 1945-1964
Lyapunov Exponents for Solar Surface Convection
Steffen, M. and Freytag, B.
page 1965-1973
Chaos in Accretion Disk Dynamos?
Torkelsson, U. and Brandenburg, A.
page 1975-1984
Criteria of Self-organization
Klimontovich, Yu.L.
page 1985-2002
Chaos-Hyperchaos Transition
Kapitaniak, T., Thylwe, K.-E., Cohen, I. and Wojewoda, J.
page 2003-2011
Dynamically Consistent Spherical Mean-field Dynamo Models
Fuchs, H., Radler, K.-H., Rheinhardt, M. and Schuler, M.
page 2013-2021
Flux Tubes and Scaling in MHD Dynamo Simulations
Brandenburg, A.
page 2023-2045
Large-scale Structure in Rayleigh-Benard Convection with Impenetrable Sidewalls
Kerr, R.M., Herring, J.R. and Brandenburg, A.
page 2047-2053
Single-particle Trajectories in Two-dimensional Turbulence
Provenzale, A., Babiano, A. and Villone, B.
page 2055-2071

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Volume 5, Issue 11, November 1995

Local Stability Analysis Along Lagrangian Paths
Eckhardt, B. and Yao, D.
page 2073-2088
Five-fold Quasicrystal-like Germinal Pattern in the Faraday Wave Experiment
Torres, M., Pastor, G., Jimenez, I. and de Espinosa, F.M.
page 2089-2093
Multiparameter Model of a Dissipative Nonlinear Oscillator in the Form of One-Dimensional Map
Bezruchko, B.P., Prokhorov, M.D. and Seleznev, E.P.
page 2095-2107
Friction Laws of Fractal Type and the Corresponding Contact Problems
Panagouli, O.K., Panagiotopoulos, P.D. and Mistakidis, E.S.
page 2109-2119
The Soliton Perturbation Theory Based on the Riemann-Hilbert Spectral Problem
Shchesnovich, V.S.
page 2121-2133
Controlling Unstable Periodic Orbits in a Bonhoeffer-van der Pol Equation
Rajasekar, S.
page 2135-2144
A Numerical Study of Some Fractal Properties of Riemann's _Non-differentiable_ Function
Stiassnie, M. and Hadad, A.
page 2145-2152
Multifractal Decomposition of the Sierpinski Carpet
Simpelaere, D.
page 2153-2170
Characterisation of the Dynamics of a four-dimensional Stick-Slip System by a Scalar variable
Galvanetto, U. and Bishop, S.R.
page 2171-2179
Conditional Simulation of Multi-Variate Gaussian Fields via Generalization of Hoshiya's Technique
Ren, Y.J., Elishakoff, I. and Shinozuka, M.
page 2181-2189
Sierpinski Fractals from Words in High Dimensions
Brisson, G.F. and Reiter, C.A.
page 2191-2200
Simulation Complexities in the Dynamics of a Continuously Piecewise-Linear Oscillator
Hu, H.
page 2201-2212

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Volume 5, Issue 12 Special Issue: Solitons in Science and Engineering: Theory and Applications, December 1995

Algebraic Geometry and Soliton Dynamics
Alonso, L.M. and Moreno, E.O.
page 2213-2227
Positon and Positon-like Solutions of the Korteweg-de Vries and Sine-Gordon Equations
Jaworski, M. and Zagrodzinski, J.
page 2229-2233
Mechanical Systems Related to the Schrodinger Spectral Problem
Rauch-Wojciechowski, S.
page 2235-2259
Nonclassical Symmetry Reductions of the Boussinesq Equation
Clarkson, P.A.
page 2261-2301
Algebraic Representation of the Linear Problem as a Method to Construct the Darboux-Backlund Transformation
Cieslinski, J.
page 2303-2313
Integrability and Singularity Structure of Coupled Nonlinear Schrodinger Equations
Radhakrishnan, R., Sahadevan, R. and Lakshmanan, M.
page 2315-2327
Origin of Quantum Group and its Application in Integrable Systems
Kundu, A.
page 2329-2344
A New Approach to the Quantum KdV
Fuchssteiner, B. and Chowdhury, A.R.
page 2345-2355
On a 2 + 1-dimensional Darboux System: Integrable and Geometric Connections
Schief, W.K., Rogers, C. and Tsarev, S.P.
page 2357-2366
Integrable Equations on the Half-infinite Line
Fokas, A.S. and Its, A.R.
page 2367-2376
Multidimensional Localized Solitons
Boiti, M., Martina, L. and Pempinelli, F.
page 2377-2417
Soliton Experiments in Transmission Lines
Kuusela, T.
page 2419-2462
Solitons in Liquid Crystals: Recent Developments
Lam, L.
page 2463-2473
Solitons in Fibre Lasers and Mode-locked Systems
Nguyen, P., Skovgaard, P., S_rensen, M.P. and Christiansen, P.L.
page 2475-2483
Strong Interference of Sound Pressure Generated by Vortex Soliton with Axial Flow
Konno, K. and Ichikawa, Y.H.
page 2485-2493
Skyrmion Dynamics in (2 + 1) Dimensions
Piette, B. and Zakrzewski, W.J.
page 2495-2508
The SU() Calogero Spin System
Hikami, K. and Wadati, M.
page 2509-2526
Soliton Chaos and Lengthscale Competition in Nonlinear Dynamics
Scharf, R.
page 2527-2549
Nonlinear Dynamics and Solitons in the Presence of Rapidly Varying Periodic Perturbations
Kivshar, Y.S. and Spatschek, K.H.
page 2551-2569
Soliton Propagation in a System of Two Inductively Coupled Long Josephson Junctions
Skiniotis, T. and Bountis, T.
page 2571-2584
Quantum Solitons and the Haldane Phase in Antiferromagnetic Spin Chains
Mikeska, H.-J.
page 2585-2603
Two-dimensional Magnetic Solitons and Thermodynamics of Quasi-two-dimensional Magnets
Ivanov, B.A. and Sheka, D.D.
page 2605-2622
The Inverse Scattering Transform: Tools for the Nonlinear Fourier Analysis and Filtering of Ocean Surface Waves
Osborne, A.R.
page 2623-2637
Quantum Repulsive Nonlinear Schrodinger Models and their _Superconductivity_
Bullough, R.K., Bogoliubov, N.M., Pang, G.D. and Timonen, J.
page 2639-2656

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Volume 7, Issue 1, January 1996

The Global Bifurcation Characteristics of the Forced van der Pol Oscillator
Jian-Xue, X. and Jun, J.
page 3-19
Propagation of Solitary Ion Wavepacket in Multi-component Plasma with Negative Ions
Bailung, H., Chutia, J. and Nakamura, Y.
page 21-24
Fractal Aggregates with Fullerene-like Monomers
Slobodrian, R.J., Deladurantaye, P., Gauthier, M., Rioux, C. and Potvin, L.
page 25-30
A Rational Source of Plane Fractals and its Application to Fragmentation Analysis of Thin Plates
Yong, Z. and Hanson, M.T.
page 31-40
Further Studies of Bifurcations and Chaotic Orbits Generated by Iterated Function Systems
Bahar, S.
page 41-47
The Limit Entropy for Sequences Constructed from Composites
Freund, J. and Herzel, H.
page 49-60
Determination of Global Stability of Steady-State Solutions of a Beam System with Discontinuous Support using Manifolds
Van De Vorst, E.L.B., Van Campen, D.H., Fey, R.H.B. and De Kraker, A.
page 61-69+71-75
Chaos in a Pendulum with Forced Horizontal Support Motion: a Tutorial
Van Dooren, R.
page 77-90
Correlation Between Surface Structure and Magnetic Properties of HTSC-Ceramics
Gorobets, Yu.I., Bereza, S.Yu., Kuchko, A.N. and Salkov, I.G.
page 91-92
Two-component -function Fermions and Bethe Ansatz Eigenstates
Murakami, S. and Wadati, M.
page 93-107
Instability in a Combined Heat and Mass Transfer Problem in Porous Media
Basu, A. and Islam, M.R.
page 109-123
Geometrical Properties of 3D Fractal Aggregates
Gagne, R. and Kroger, H.
page 125-136
Computational Study of the Dynamics of Anisotropic Structure in Films
Trofimov, A.S.
page 137-145
Kolmogorov Turbulence, Apollonian Fractals and the Cantorian Model of Quantum Spacetime
El Naschie, M.S.
page 147-149

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Volume 7, Issue 2, February 1996

Chaotic Vibrations of a Nonlinear Viscoelastic Beam
Argyris, J., Belubekian, V., Ovakimyan, N. and Minasyan, M.
page 151-163
Nonmonotonic Maps and Related Bifurcations in Laser Accelerators
Caetano, T.S., Couto, F., Corso, G., Pakter, R., Brunnet, L.G. and Rizzato, F.B.
page 165-175
Fractal Behavior of an Asymmetric Rigid Block Overturning Due to Harmonic Motion of a Tilted Foundation
Plaut, R.H., Fielder, W.T. and Virgin, L.N.
page 177-196
Correlation Integrals for Inhomogeneously Distributed Random Data
H., H., Bauer, M. and Martienssen, W.
page 197-203
Patterns of Bifurcation in Iterated Function Systems
Bahar, S.
page 205-210
The Higher-order KdV Equation with a Source and Nonlinear Superposition Formula
Xing-Biao, H.
page 211-215
Symbolic Dynamics of the Lorenz Equations
Hai-Ping, F. and Bai-Lin, H.
page 217-246
Fractals in Nonlinear Economic Dynamic Systems
Soliman, A.S.
page 247-256
A Nonlinear Dynamical Model for the Dynastic Cycle
Feichtinger, G., Forst, C.V. and Piccardi, C.
page 257-271
Investigation of the Stochasticity of Beam Generators Using the Functional Map Method
Bliokh, Yu.P., Fainberg, Ya.B., Lyubarskii, M.G. and Podobinskii, V.O.
page 273-292

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Volume 7, Issue 3, March 1996

A Simple Two-variable Model of Cardiac Excitation
Aliev, R.R. and Panfilov, A.V.
page 293-301
Non-probabilistic Eigenvalue Problem for Structures with Uncertain Parameters via Interval Analysis
Zhiping, Q., Suhuan, C. and Elishakoff, I.
page 303-308
Propagation of Various K-dV Solitary Waves in an Inhomogeneous Two Temperature Electron Plasma
Das, G.C., Singh, S.S. and Singh, Kh.I.
page 309-324
Dynamics of the Kicked Logistic Map
Baptista, M.S. and Caldas, I.L.
page 325-336
Crossover from Geometrical to Stochastic Fractal Statistics for Translationally Invariant Random Distributions of Independent Particles in n-Dimensional Euclidean Space
Vlad, M.O. and Mackey, M.C.
page 337-348
Records of the Proveditori degli Cambiatori II. Seasonal and Short-range Influences
Otway, T.H.
page 349-351
A Flow Induced System with Dry Friction
Tondl, A. and Nabergoj, R.
page 353-363
New Solutions for Difference-Difference Models of the ⁴ Equation and Nonlinear Klein-Gordon Equation in 1 + 1 Dimension
Narita, K.
page 365-369
A Note on Analyzing Schizophrenic EEG with Complexity Measure
Qinye, T., Jun, K. and Jinghua, X.
page 371-375
Singularity Structure Analysis and the Complete Integrability of the Higher Order Nonlinear Schrodinger-Maxwell-Bloch Equations
Porsezian, K. and Nakkeeran, K.
page 377-382
Regular and Chaotic Flows in Paraboloidal Basins and Eddies
Sachdev, P.L., Palaniappan, D. and Sarathy, R.
page 383-408
On the Route to Strangeness without Chaos in the Quasiperiodically Forced van der Pol Oscillator
Pokorny, P., Schreiber, I. and Marek, M.
page 409-424
Bounds of Eigenvalues for Structures with an Interval Description of Uncertain-but-non-random Parameters
Zhiping, Q., Suhuan, C. and Elishakoff, I.
page 425-434
Remarks on Transitions Order-chaos Induced by the Shape of the Periodic Excitation in a Parametric Pendulum
Sanjuan, M.A.F.
page 435-440

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Volume 7, Issue 4 Special Issue Time Symmetry Breaking in Classical and Quantum Mechanics, April 1996

Poincare Resonances and the Extension of Classical Dynamics
Petrosky, T. and Prigogine, I.
page 441-497
Time Symmetry Breaking, Duality and Cantorian Space-Time
El Naschie, M.S.
page 499-518
Self-organized Criticality in Rainforest Dynamics
Manrubia, S.C. and Sole, R.V.
page 523-541
Billiards in the l^p Unit Balls of the Plane
Jeng, M. and Knill, O.
page 543-554
The Fibonacci Partition on the Connectedness Locus and the Farey Sequence
Fujimoto, Y.
page 555-564
An Approach to the Ordering of One-Dimensional Quadratic Maps
Pastor, G., Romera, M. and Montoya, F.
page 565-584
General Properties of the Electric-Field-Induced Vortex Drift in Excitable Media
Munuzuri, A.P., Davydov, V.A., Perez-Munuzuri, V., Gomez-Gesteira, M. and Perez-Villar, V.
page 585-595
Some Critical Observations and Attendant New Results in the Finite Element Method for Stochastic Problems
Elishakoff, I., Ren, Y.J. and Shinozuka, M.
page 597-609

Volume 7, Issue 5, May 1996

Introduction to Chaos, Information and Diffusion in Quantum Physics
El Naschie, M.S.
page vii-x
A Model for the Structure of Spacetime
Boyarsky, A. and Gora, P.
page 611-630
Quantum Theory, Theory of Brownian Motions, and Relativity Theory
Nagasawa, M.
page 631-643
Chaotic Dynamics of SU(2) Gauge Fields in the Presence of Static Charges
Biro, T.S.
page 645-651
A Hypothesis Concerning _Quantal_ Hilbert Space Criterion of Chaos in Nonlinear Dynamical Systems
Kowalski, K.
page 653-657
On the Information and Uncertainty Relation of Canonical Quantum Systems with SL(2R) Invariance
Agop, M., Buzea, C., Buzea, C.Gh., Chirila, L. and Oancea, S.
page 659-668
Hyperfinite Quantum Random Walks
Gudder, S.
page 669-679
Chaos and Time Coordinate
Szyd_owski, M.
page 681-695
On a Realistic Interpretation of Spontaneous Decay Processes
Meissner, W.
page 697-709
D = 11 Supermembrane Instantons, W Strings and the Super Toda Molecule
Castro, C.
page 711-724
Anti-Entropy and the Origin of Initial Conditions
Conrad, M.
page 725-745
Experimental Status of Quaternionic Quantum Mechanics
Brumby, S.P. and Joshi, G.C.
page 747-752
Tachyonic Chaos and Causality in the Open Universe
Tomaschitz, R.
page 753-768
Octonionic Gauge Theory from Spontaneously Broken SO(8)
Lassig, C.C. and Joshi, G.C.
page 769-775
Chaotic Current Oscillations with Broadband 1/f Spectrum in a Glow Discharge Plasma
Donko, Z. and Szalai, L.
page 777-783
_Linear_ Chaos Via Paradoxical Set Decompositions
Svozil, K. and Neufeld, N.
page 785-793
A Class of Partially Ordered Sets
Hemion, G.
page 795-819

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Volume 7, Issue 6 Special Issue Fractal Space - Time and Cantorian Geometry in Quantum Mechanics, June 1996

Fractal Space- Time and the Statistical Mechanics of Random Walks
Ord, G.N.
page 821-843
Relative-State Theory: Four New Aspects
Rossler, O.E.
page 845-852
A QCA in 2 + 1 and 3 + 1 Dimensions
Belousek, D.W., Flint, E.B., Kenny, J.P. and Roos, K.R.
page 853-872
On the Dimension of Micro Space-Time
Al-Athel, S.
page 873-875
Scale Relativity and Fractal Space-Time: Applications to Quantum Physics, Cosmology and Chaotic Systems
Nottale, L.
page 877-938
Nelson's Drift Coefficient and the Structure of Quantum Spacetime
Boyarsky, A. and Gora, P.
page 939-954
On Numbers, Probability and Dimensions
El Naschie, M.S.
page 955-959

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Volume 7, Issue 7, July 1996

Non-stationary Response of Linear Systems Under Stochastic Gaussian and Non-Gaussian Excitation: a Brief Overview of Recent Results
Di Paola, M. and Elishakoff, I.
page 961-971
Lyapunov Exponents from a Time Series: a Noise-robust Extraction Algorithm
Banbrook, M., Ushaw, G. and McLaughlin, S.
page 973-976
Diagnosing Time Series Dynamical Structures
Kaboudan, M.A.
page 977-990
Magnetic Field Line Mappings for a Tokamak with Ergodic Limiters
Caldas, I.L., Pereira, J.M., Ullmann, K. and Viana, R.L.
page 991-1010
The Self: a Processual Gestalt
Tschacher, W. and Rossler, O.E.
page 1011-1022
Experiments on Ion-acoustic Solitons in a Plasma
Nakamura, Y. and Sugai, H.
page 1023-1031
Symmetric Attractors in Three-dimensional Space
Brisson, G.F., Gartz, K.M., McCune, B.J., O'Brien, K.P. and Reiter, C.A.
page 1033-1051
On the Possibility of a Chern-Simons Physics on the Sun
Saniga, M.
page 1053-1055
Weak Chaos
Katz, L.
page 1057-1063
Simulation of Inflorescence Growth in Cellular Automata
Adamatzky, A.
page 1065-1094
Local Stability Regions in Dynamics of Photoconductors
Serfaty, A. and Joshi, N.V.
page 1095-1102
Aperiodic (Chaotic) Behaviour of Plant Cell Wall Extension--I Nonlinear Chemical Model of Periodic and Aperiodic Oscillations of Cell Wall Growth
Kellershohn, N., Prat, R. and Ricard, J.
page 1103-1117
Aperiodic (Chaotic) Behaviour of Plant Cell Wall Extension-II Periodic and Aperiodic Oscillations of the Elongation Rate of a System of Plant Cells
Prat, R., Kellershohn, N. and Ricard, J.
page 1119-1125
Quantum repulsive nonlinear Schrodinger models and their _superconductivity_
Bullough, R.K., Bogoliubov, N.M., Pang, G.D. and Timonen, J.
page I

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Volume 7, Issue 8, August 1996

Buckling Mode Localisation in Randomly Disordered Continuous Beams Using a Simplified Model
Ariaratnam, S.T. and Wei-Chau, X.
page 1127-1144
The Pendulum as a Dynamical Billiard
Beletsky, V.V., Kasatkin, G.V. and Starostin, E.L.
page 1145-1178
Imperfection Sensitivity Due to the Elastic Moduli in the Roorda-Koiter Frame
Elishakoff, I., Y., W.L. and Starnes, J.H. Jr
page 1179-1186
Topology in Fractals
Montiel, M.E., Aguado, A.S. and Zaluska, E.
page 1187-1207
Painleve Analysis and the Integrability Properties of Coupled Integrable Dispersionless Equations
Alagesan, T. and Porsezian, K.
page 1209-1212
An Asymptotically Exact Stopping Rule for the Numerical Computation of the Lyapunov Spectrum
Ezzine, J.
page 1213-1225
Integrable Theory of the Perturbation Equations
W., X.M. and Fuchssteiner, B.
page 1227-1250
Iterated Backlund-Darboux Transformation and Transfer Matrix-Function (Nonisospectral Case)
Sakhnovich, A.
page 1251-1259
Fluctuons--III. Gravity
Conrad, M.
page 1261-1303
Chaos Suppression Through Changes in the System Variables and Numerical Rounding Errors
Iglesias, A., Gutierrez, J.M., Guemez, J. and Matias, M.A.
page 1305-1316
Period-adding and Chaos in Fluidized Bed Catalytic Reactors
Elnashaie, S.S.E.H. and Ajbar, A.
page 1317-1331
Introduction to Chaos, Information and Diffusion in Quantum Physics
El Naschie, M.S.
page I