CHAOS IN A NEAR-INTEGRABLE HAMILTONIAN LATTICE

DOI10.1142/S0218127402005431zbMath1043.37052MaRDI QIDQ4736260

Chris G. Antonopoulos, Lambros Drossos, Vassilios M. Rothos

Publication date: 9 August 2004

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

perturbationsLyapunov exponentshomoclinic orbitsnumerical simulationsnonlinear latticenearly integrable Hamiltonian systemsHamiltonian chaosMel'nikov theoryAblowitz-Ladik lattice

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Lattice dynamics; integrable lattice equations (37K60)

Related Items (3)

Bifurcations and Dynamics Emergent From Lattice and Continuum Models of Bioactive Porous Media ⋮ A BRIEF SURVEY ON CONSTRUCTING HOMOCLINIC STRUCTURES OF SOLITON EQUATIONS ⋮ Homoclinic orbits for coupled modified nonlinear Schrödinger equations

Cites Work

• Determining Lyapunov exponents from a time series
• Geometric singular perturbation theory for ordinary differential equations
• Multi-dimensional homoclinic jumping and the discretized NLS equation
• Homoclinic orbits and chaos in discretized perturbed NLS systems. I: Homoclinic orbits
• A Mel'nikov approach to soliton-like solutions of systems of discretized nonlinear Schrödinger equations
• A practical method for calculating largest Lyapunov exponents from small data sets
• On the conservation of hyperbolic invariant tori for Hamiltonian systems
• On Homoclinic Structure and Numerically Induced Chaos for the Nonlinear Schrödinger Equation
• A Nonlinear Difference Scheme and Inverse Scattering
• Structure and Breakdown of Invariant Tori in a 4-D Mapping Model of Accelerator Dynamics
• Differentiable dynamical systems

This page was built for publication: CHAOS IN A NEAR-INTEGRABLE HAMILTONIAN LATTICE