Chaotic-dynamics of a free particle interacting linearly with a harmonic oscillator

DOI10.1016/j.physd.2005.06.008zbMath1079.70015arXivnlin/0507043OpenAlexW2045907174MaRDI QIDQ2566687

Paul E. Parris, Alex Silvius, Stephan De Bièvre

Publication date: 28 September 2005

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0507043

zbMATH Keywords

chaosHamiltonian dynamicsmixed phase space

Mathematics Subject Classification ID

Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Dynamical systems in classical and celestial mechanics (37N05) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (13)

Mean field limit for particles interacting with a vibrating medium ⋮ Unnamed Item ⋮ Two-particle circular billiards versus randomly perturbed one-particle circular billiards ⋮ Damping of particles interacting with a vibrating medium ⋮ Plane wave stability analysis of Hartree and quantum dissipative systems ⋮ A model of particles interacting with thermal traps ⋮ Stability analysis of a Vlasov-wave system describing particles interacting with their environment ⋮ One-particle and few-particle billiards ⋮ Normal transport properties in a metastable stationary state for a classical particle coupled to a non-Ohmic bath ⋮ Avoided level crossings in the quantization of a mixed regular-chaotic system ⋮ Quantization of a free particle interacting linearly with a harmonic oscillator ⋮ Particles Interacting with a Vibrating Medium: Existence of Solutions and Convergence to the Vlasov--Poisson System ⋮ Numerical investigation of Landau damping in dynamical Lorentz gases

Cites Work

• Equivariant singularity theory with distinguished parameters: two case studies of resonant Hamiltonian systems
• Ergodicity of toral linked twist mappings
• Resonances in a spring-pendulum: algorithms for equivariant singularity theory
• Spectral statistics of a system with sharply divided phase space
• Weyl's law and quantum ergodicity for maps with divided phase space (with an appendix Converse quantum ergodicity)

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