Chaos in a modified Hénon-Heiles system describing geodesics in gravitational waves

DOI10.1016/S0375-9601(00)00391-1zbMath1115.83303arXivgr-qc/0006066MaRDI QIDQ997640

K. Veselý, Jirí Podolský

Publication date: 7 August 2007

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

Full work available at URL: https://arxiv.org/abs/gr-qc/0006066

zbMATH Keywords

chaotic motiongravitational wavesHénon-Heiles system

Mathematics Subject Classification ID

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Equations of motion in general relativity and gravitational theory (83C10) Gravitational waves (83C35)

Related Items (4)

New synchronization results for a class of nonlinear discrete-time chaotic systems based on synergetic observer and their implementation ⋮ Integrable Hénon-Heiles hamiltonians: a Poisson algebra approach ⋮ Exact parallel waves in general relativity ⋮ PARTIAL CONTROL OF ESCAPES IN CHAOTIC SCATTERING

Cites Work

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• Fractal basin boundaries
• Pathology in dynamical systems. III: Analytic Hamiltonians
• Pathology of invariant sets in the monkey saddle
• Chaotic motion in pp -wave spacetimes
• Smearing of chaos in sandwich pp -waves

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