Stochastic dynamics of Lie algebras of Poisson brackets in neighborhoods of nonsmoothness points of Hamiltonians

DOI10.1134/S1064562413030058zbMath1294.37022OpenAlexW2062055943WikidataQ114074939 ScholiaQ114074939MaRDI QIDQ378197

M. I. Zelikin, Roland Hildebrand, L. V. Lokutsievskiy

Publication date: 11 November 2013

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562413030058

zbMATH Keywords

Lie algebraPoisson bracketstopological Markov chain

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Random dynamical systems (37H99)

Related Items (1)

Typicality of chaotic fractal behavior of integral vortices in Hamiltonian systems with discontinuous right hand side

Cites Work

• Fractal structure of hyperbolic Lipschitzian dynamical systems
• Theory of chattering control with applications to astronautics, robotics, economics, and engineering
• Unnamed Item

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