Spatiotemporal chaos and effective stochastic dynamics for a near-integrable nonlinear system

DOI10.1016/S0375-9601(99)00057-2zbMath0983.37098OpenAlexW1998198772MaRDI QIDQ1967093

Jalal Shatah, David Cai, David W. McLaughlin

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(99)00057-2

zbMATH Keywords

spatiotemporal chaoseffective stochastic dynamics

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Random dynamical systems (37H99)

Related Items (7)

Extreme wave events for a nonlinear Schrödinger equation with linear damping and Gaussian driving ⋮ Chaotic and turbulent behavior of unstable one-dimensional nonlinear dispersive waves ⋮ Spatiotemporal chaos in spatially extended systems ⋮ Dispersive wave turbulence in one dimension ⋮ Spatiotemporal chaos in mixed linear-nonlinear coupled logistic map lattice ⋮ Exciting extreme events in the damped and AC-driven NLS equation through plane-wave initial conditions ⋮ Chaotic solitons in the quadratic-cubic nonlinear Schrödinger equation under nonlinearity management

Cites Work

• Coupled map lattices: some topological and ergodic properties
• Chaotic and homoclinic behavior for numerical discretizations of the nonlinear Schrödinger equation
• Towards a statistical mechanics of spatiotemporal chaos
• Pattern formation outside of equilibrium

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