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JOURNALS // Regular and Chaotic Dynamics // Archive

Regul. Chaotic Dyn., 1996 Volume 1, Issue 1, Pages 38–44 (Mi rcd6)

This article is cited in 5 papers

Dynamic Systems with the Invariant Measure on Riemann's Symmetric Pairs $(GL(N), SO(N))$

Yu. N. Fedorov

Lomonosov Moscow State University

Abstract: It has been discovered a countable number of dynamic systems with an equal countable set of the first integrals and invariant measure. The found systems are a generalization of so-called Manakov's systems on $SO(n)$ algebra and the integrable Chaplygin's problem about ball rolling.

UDC: 531.38

Received: 10.05.1995



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