Solitons and Chaos [E-Book] / edited by Ioannis Antoniou, Franklin J. Lambert
"Solitons and Chaos" is a response to the growing interest in systems exhibiting these two complementary manifestations of nonlinearity. The papers cover a wide range of topics but share common mathematical notions and investigation techniques. An introductory note on eight concepts of int...
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Full text |
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Personal Name(s): | Antoniou, Ioannis, editor |
Lambert, Franklin J., editor | |
Imprint: |
Berlin, Heidelberg :
Springer,
1991
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Physical Description: |
XVI, 336 p. 4 illus. online resource. |
Note: |
englisch |
ISBN: |
9783642845703 |
DOI: |
10.1007/978-3-642-84570-3 |
Series Title: |
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Research Reports in Physics
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Subject (LOC): |
- I General Questions on Chaos and Integrability
- Integration of Non-Integrable Systems
- Order and Chaos in the Statistical Mechanics of the Integrable Models in 1+1 Dimensions
- Soliton Dynamics and Chaos Transition in a Microstructured Lattice Model
- What is the Role of Dynamical Chaos in Irreversible Processes?
- A Propositional Lattice for the Logic of Temporal Predictions
- Damping, Quantum Field Theory and Thermodynamics
- Quasi-Monomial Transformations and Decoupling of Systems of ODE’s
- II Physical Systems with Soliton Ingredients
- Solitons in Optical Fibers: First- and Second-Order Perturbations
- Similarity Solutions of Equations of Nonlinear Optics
- Heisenberg Ferromagnet, Generalized Coherent States and Nonlinear Behaviour
- Integrable Supersymmetric Models and Phase Transitions in One Dimension
- Denaturation of DNA in a Toda Lattice Model
- III Dissipative Systems
- A Simple Method to Obtain First Integrals of Dynamical Systems
- Transition to Turbulence in 1-D Rayleigh-Bénard Convection
- Modelling of Low-Dimensional, Incompressible, Viscous, Rotating Fluid Flow
- Spatial Coherent Structures in Dissipative Systems
- Hierarchies of (1+1)-Dimensional Multispeed Discrete Boltzmann Model Equations
- IV Hamiltonian Systems
- Universality of the Long Time Tail in Hamiltonian Dynamics
- Why some Hénon-Heiles Potentials are Integrable
- Chaotic Pulsations in Variable Stars with Harmonic Mode Coupling
- Canonical Forms for Compatible BiHamiltonian Systems
- V Maps and Cascades
- Transitions from Chaotic to Brownian Motion Behaviour
- Kinetic Theory for the Standard Map
- Probabilistic Description of Deterministic Chaos: A Local Equilibrium Approach
- State Prediction for Chaotic 1-D-Maps
- Exact and Approximate Reconstruction of Multifractal Coding Measures
- Conservative Versus Reversible Dynamical Systems
- A Simple Method to Generate Integrable Symplectic Maps
- Integrable Mappings and Soliton Lattices
- VI Direct Methods Applicable to Soliton Systems
- Integrable Higher Nonlinear Schrödinger Equations
- Nonclassical Symmetry Reductions of a Generalized Nonlinear Schrödinger Equation
- Direct Methods in Soliton Theories
- Trilinear Form — an Extension of Hirota’s Bilinear Form
- On the Use of Bilinear Forms for the Search of Families of Integrable Nonlinear Evolution Equations
- From Periodic Processes to Solitons and Vice-Versa
- VII Inverse Methods Related to a Linearization Scheme
- The Crum Transformation for a Third Order Scattering Problem
- Darboux Theorems Connected to Dym Type Equations
- Forced Initial Boundary Value Problems for Burgers Equation
- Creation and Annihilation of Solitons in Nonlinear Integrable Systems
- VIII Nonlinear Excitations in more than one Space Dimension
- Multidimensional Nonlinear Schrödinger Equations Showing Localized Solutions
- New Soliton Solutions for the Davey-Stewartson Equation
- 2+1 Dimensional Dromions and Hirota’s Bilinear Method
- Skyrmions Scattering in (2+1) Dimensions
- Index of Contributors.