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作者单位:Alexey V. Borisov (1) Ivan S. Mamaev (1)
1. Steklov Mathematical Institute, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991, Russia
刊物类别:Mathematics and Statistics
刊物主题:Mathematics Dynamical Systems and Ergodic Theory Russian Library of Science
出版者:MAIK Nauka/Interperiodica distributed exclusively by Springer Science+Business Media LLC.
ISSN:1468-4845
文摘
The onset of adiabatic chaos in rigid body dynamics is considered. A comparison of the analytically calculated diffusion coefficient describing probabilistic effects in the zone of chaos with a numerical experiment is made. An analysis of the splitting of asymptotic surfaces is performed and uncertainty curves are constructed in the Poincaré–Zhukovsky problem. The application of Hamiltonian methods to nonholonomic systems is discussed. New problem statements are given which are related to the destruction of an adiabatic invariant and to the acceleration of the system (Fermi’s acceleration).