Adiabatic invariants, diffusion and acceleration in rigid body dynamics

DOI10.1134/S1560354716020064zbMath1377.70021MaRDI QIDQ294485

Ivan. S. Mamaev, Alexey V. Borisov

Publication date: 16 June 2016

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

zbMATH Keywords

adiabatic invariantsadiabatic chaosLiouville systemtransition through resonance

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Free motion of a rigid body (70E15) Nonholonomic systems related to the dynamics of a system of particles (70F25) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

Related Items (3)

Dynamical systems with non-integrable constraints, vakonomic mechanics, sub-Riemannian geometry, and non-holonomic mechanics ⋮ Separatrix Crossing in Rotation of a Body with Changing Geometry of Masses ⋮ The integrable case of Adler-van Moerbeke. Discriminant set and bifurcation diagram

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