Scattering by resonances

DOI10.1007/BF00048435zbMath0881.58055OpenAlexW2081076715MaRDI QIDQ1364239

Anatoly I. Neishtadt

Publication date: 25 August 1997

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00048435

zbMATH Keywords

scatteringadiabatic invariantresonancecapture into resonancetwo-frequency system

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (13)

Targeted energy transfers in vibro-impact oscillators for seismic mitigation ⋮ TRANSPORT IN DYNAMICAL ASTRONOMY AND MULTIBODY PROBLEMS ⋮ On phase at a resonance in slow-fast Hamiltonian systems ⋮ INVITED: Slow manifold reduction for plasma science ⋮ Non-resonant damped transitions resembling continuous resonance scattering in coupled oscillators with essential nonlinearities ⋮ On passage through resonances in volume-preserving systems ⋮ Passages through resonances in classical dynamics of a driven hydrogen atom ⋮ On phenomenon of scattering on resonances associated with discretisation of systems with fast rotating phase ⋮ Resonance phenomena and long-term chaotic advection in volume-preserving systems ⋮ Modifications of the method of variation of parameters ⋮ Diffusion limit for a slow-fast standard map ⋮ Captures into resonance and scattering on resonance in dynamics of a charged relativistic particle in magnetic field and electrostatic wave ⋮ Anatolii Iserovish Neishtadt

Cites Work

• Multiphase averaging for classical systems. With applications to adiabatic theorems. Transl. from the French by H. S. Dumas
• Capture and escape from resonance in the dynamics of the rigid body in viscous medium
• A second fundamental model for resonance
• Probability phenomena due to separatrix crossing
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