Future Directions of Nonlinear Dynamics in Physical and Biological Systems

Front Matter....Pages i-xv
Perturbative Painlevé Analysis....Pages 1-5
Difference Scheme of Soliton Equations....Pages 7-15
Solitons in Crossed-Field Devices....Pages 17-25
The Numerical Inverse Scattering Transform: Nonlinear Fourier Analysis for Laboratory and Oceanic Wave Data....Pages 27-36
Solitons in Discrete Systems....Pages 37-43
Low-Dimensional Behaviour in the Rotating Driven Cavity Problem....Pages 45-49
Vortex Dipoles Colliding with Curved Walls....Pages 51-54
The Use of Generalized Zakharov Systems in Elastic Surface Waves....Pages 55-58
Vortex Dynamics in 2-Dimensional Flows....Pages 59-62
Self-Supporting Gap Solitons in Nonlinear Lattices....Pages 63-66
Dynamics of Solitons in Polyacetylene in the Step-Potential Model....Pages 67-72
Soliton-Like Structure in (2+1) Dimensions....Pages 73-76
Solitons on a Nonlinear Klein-Gordon Equation....Pages 77-83
A Collective Coordinate Approach to the One-Dimensional Nonlinear Schrödinger Equation with Spatial Periodic Potentials....Pages 85-96
Length Scales in Solutions of Dissipative Partial Differential Equations....Pages 97-100
Hamilton Structure of Unstable Nonlinear Schrödinger Equation....Pages 101-104
On the Forced Eckhaus Equation....Pages 105-108
New Aspects of Chaotic Dynamics in Nonlinear Schrödinger Systems....Pages 109-112
Resonance Phenomena in Soliton-Impurity Interactions....Pages 113-116
Two and Many Impurity Effects in Soliton Dynamics....Pages 117-120
Self-Focussing of Coupled Guided Acoustic Waves at a Nonlinear Resonance....Pages 121-124
Some Exact Wave Solutions in Terms of the Weierstrass Functions for Nonlinear Hyperbolic Equations....Pages 125-128
Controlling Chaos in Hamiltonian Systems....Pages 129-137
Deterministic Disorder in Two-Dimensional Media....Pages 139-151
Phase Shifts and Nonlinear Effects in Stochastic Resonance....Pages 153-156
Controlling Dependence on Initial Conditions in Chaotic Systems....Pages 157-160
Dynamical Systems Analysis of an Aerodynamic Decelerator: Bifurcation to Divergence and Flutter....Pages 161-164
Chaos in a Model of a Railway Wheelset....Pages 165-168
Nonlinear Modelling of Shimmying Wheels....Pages 169-172
Chaotic Solitons and Vacuum....Pages 173-176
Q-Hermitian Conjugation, Quantum Groups and Squeezing....Pages 177-183
Large-Amplitude Narrow Solitons in Lattices....Pages 185-194
Dynamical Structures in 2D Lattices....Pages 195-201
Model Hamiltonian, Coherent State and Anharmonic Localized Modes as Dynamical Self-Trapping in Nonlinear Systems and Biological Macromolecules....Pages 203-212
Quantum Holstein Polaron Model and Classical Charged Gas on a Ring....Pages 213-216
The Quantum Ablowitz-Ladik Equation as a Q-Boson System....Pages 217-222
Moving Localized Modes in Nonlinear Lattices....Pages 223-226
Quantum Solitons in the DNLS and Hubbard Models....Pages 227-230
Stationary Solitons in Discrete Lattices of Different Dimensionality....Pages 231-234
Numerical and Experimental Studies on the AC-Driven Damped Toda Lattice....Pages 235-238
Quantum Effects in the Nonlinear Nonadiabatic Dimer....Pages 239-242
On the Discrete and Continuum Integrable Heisenberg Spin Chain Models....Pages 243-248
Dynamics and Instability of Nonlinear Patterns in Phase Transformation Problems....Pages 249-255
Discrete Modulated Waves....Pages 257-260
Toda Solitons and the Mössbauer Effect....Pages 261-264
Bipolaronic Charge Density Waves, Polaronic Spin Density Waves and High Tc Superconductivity....Pages 265-265
Inductively Coupled Long Josephson Junctions: Collective Coordinate Analysis and I–V Characteristics....Pages 267-281
The Sine-Gordon Equation and Superconducting Soliton Oscillators....Pages 283-331
Static Solutions of a Two Dimensional Josephson Window Junction....Pages 333-337
Fluxon Oscillations in a Parallel Biased Array of Small Josephson Junctions....Pages 339-342
Linewidth of Josephson Oscillations in YBa 2 Cu 3 O 7-x Step Edge Grain Boundary Junctions....Pages 343-346
Fluxon Dynamics in Discrete Sine Gordon System....Pages 347-350
Nonlinear Interaction of Fluxon and Plasma Waves in a Finite Josephson Junction....Pages 351-354
Observation of Multiple Particle Tunneling in High Quality Superconducting Tunnel Junctions....Pages 355-358
Nonlinearity in BCS Models of High-T c Superconductors....Pages 359-362
Statics and Dynamics of Flux Vortices in Discrete Systems....Pages 363-366
Soliton Type Propagation in HTcS Materials....Pages 367-370
Dynamics of Solitary Waves in Nematic Liquid Crystals....Pages 371-379
Quantum Capture in LB Monolayers and the Role of Thermal Fluctuations....Pages 381-390
Soliton Mechanism of Optical Anisotropy Photoinduction in Two-Dimensional Molecular Systems....Pages 391-393
Optical Second Harmonic Generation in Langmuir-Blodgett Films....Pages 395-398
Nonlinear Envelope Waves in Inhomogeneous Media....Pages 399-403
Lyapunov Stability of Vector Solitons in Optical Fibers....Pages 405-408
Chaos in Semiconductor Lasers with Optical Feedback....Pages 409-412
Pulse Collisions in Bimodal Waveguides....Pages 413-416
Dynamic Response of Semiconductor Nonlinear Optical Waveguides....Pages 417-420
Dynamics of a Fibre Laser Coupled to a Nonlinear Fibre Cavity....Pages 421-424
The Lifetime of Molecular (Davydov’s) Solitons....Pages 425-433
Energy Transduction and Deterministic Protein Motions....Pages 435-444
Soliton States in a Chain with Two Atoms in a Unit Cell....Pages 445-448
Proton Transport in Hydrogen-Bonded Chains: A Two-Component Soliton Model Including Dipole Interactions....Pages 449-453
The Ultrasonic Charge-Density-Waves and Integrable Many Particle Hénon-Heiles System....Pages 455-460
The Fröhlich Charge-Density-Wave as a Lattice of Davydov’s Solitons....Pages 461-464
Inelastic Neutron Scattering Study of the Quantum Sine-Gordon Breather in 4-Methyl-Pyridine....Pages 465-468
Modelling DNA Denaturation....Pages 469-472
A Proton Pathway with Large Proton Polarizability in Bacteriorhodopsin....Pages 473-476
Evaluation of the Strength of Coupling Between a Vibrational Exciton and a Specific Low Frequency Mode....Pages 477-484
Hierarchy of Nonlinear Dynamic Models of DNA....Pages 485-488
Evolution and Co-Evolution in a Rugged Fitness Landscape....Pages 489-498
Chaos in a Model of HIV Infection of the Immune System....Pages 499-508
Phase Locking of the Bonhoeffer-Van Der Pol Model....Pages 509-511
Continuous or Discrete State Dynamical Systems as Models for Computation in Neural Systems....Pages 513-516
Turing Structures in Drosophila Morphogenesis....Pages 517-521
Nonlinear Forecasting of RR-Intervals of Human Electrocardiograms....Pages 523-526
The Ultradian Clock Interacts with the Mitotic Oscillator to Give Dispersed and Quantized Cell Cycle Times. Noisy or Chaotic Trajectories?....Pages 527-531
A Solitonic Model for the “Information Strings”....Pages 533-537
Rotating Vortices Initiation in Cardiac Muscle: Pulse Chemistry Control....Pages 539-542
Back Matter....Pages 543-557