Averaging method for systems with separatrix crossing

DOI10.1088/1361-6544/aa712fzbMath1381.37073arXiv1705.04347OpenAlexW2612164795MaRDI QIDQ4978489

Anatoly I. Neishtadt

Publication date: 11 August 2017

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.04347

zbMATH Keywords

averaging methodintegrable system

Mathematics Subject Classification ID

Averaging method for ordinary differential equations (34C29) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Nearly integrable Hamiltonian systems, KAM theory (70H08) Averaging of perturbations for nonlinear problems in mechanics (70K65)

Related Items (10)

Phase change and order 2 averaging for one-frequency systems with separatrix crossing* ⋮ On phase at a resonance in slow-fast Hamiltonian systems ⋮ Conditions for Phase Locking and Dephasing of Autoresonant Pumping ⋮ Long-term attitude dynamics of space debris in Sun-synchronous orbits: Cassini cycles and chaotic stabilization ⋮ Resonant motions of the statically stable Lagrange spinning top ⋮ Separatrix Crossing in Rotation of a Body with Changing Geometry of Masses ⋮ Normal forms and averaging in an acceleration problem in nonholonomic mechanics ⋮ On mechanisms of destruction of adiabatic invariance in slow–fast Hamiltonian systems ⋮ Second-order fast-slow dynamics of non-ergodic Hamiltonian systems: thermodynamic interpretation and simulation ⋮ Anatolii Iserovish Neishtadt

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