Effects of symmetry on instability-driven chaotic energy transport in near-integrable, Hamiltonian systems

DOI10.1016/0378-4754(94)00022-0zbMath0811.65114OpenAlexW1986949435MaRDI QIDQ1344300

M. Gregory Forest, Amarendra Sinha, Christopher G. Goedde

Publication date: 2 May 1995

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(94)00022-0

zbMATH Keywords

finite difference methodstochastic dynamicsperiodic sine-Gordon equationinstability- driven chaotic energy transportnear-integrable, Hamiltonian systemssymmetry-breaking instability

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Applications to the sciences (65Z05)

Related Items (1)

Long-time dynamics of the modulational instability of deep water waves

Cites Work

• Numerical inverse spectral transform for the periodic sine-Gordon equation: Theta function solutions and their linearized stability
• Geometry of the modulational instability. III: Homoclinic orbits for the periodic sine-Gordon equation
• The origin and saturation of modulational instabilities
• Chaotic and homoclinic behavior for numerical discretizations of the nonlinear Schrödinger equation
• Chaos and the approach to equilibrium in a discrete sine-Gordon equation
• Chaotic transport and integrable instabilities in a near-integrable, many-particle, Hamiltonian lattice
• Coherence and chaos in the driven damped sine-Gordon equation: measurement of the soliton spectrum
• Regular and stochastic motion
• Modulations of Sinh-Gordon and Sine-Gordon Wavetrains
• Dispersive approximations in fluid dynamics
• The korteweg-de vries equation with small dispersion: Higher order lax-levermore theory
• On Homoclinic Structure and Numerically Induced Chaos for the Nonlinear Schrödinger Equation
• A numerical and theoretical study of certain nonlinear wave phenomena

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