A map for systems with resonant trappings and scatterings

DOI10.1134/S1560354720010025zbMath1473.37056arXiv1904.02973OpenAlexW3104943559MaRDI QIDQ2176437

Anatoly I. Neishtadt, Aleksey A. Vasiliev, Anton V. Artemyev

Publication date: 4 May 2020

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.02973

zbMATH Keywords

capture into resonancescattering on resonance

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Simulation of dynamical systems (37M05) Systems with slow and fast motions for nonlinear problems in mechanics (70K70) Dynamical aspects of twist maps (37E40)

Related Items (1)

On phase at a resonance in slow-fast Hamiltonian systems

Cites Work

• Regular and chaotic dynamics.
• Kinetic equation for nonlinear wave-particle interaction: solution properties and asymptotic dynamics
• Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
• Repulsion From resonances
• An analytical study of transport, mixing and chaos in an unsteady vortical flow
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