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Regular and Chaotic Dynamics, 1996, Volume 1, Issue 1, Pages 45–53
(Mi rcd7)
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About the Fields of Symmetry of the Second Power of the Reversible Systems on the Two-dimensional Torus
P. V. Anikeyev Lomonosov Moscow State University
Abstract:
There is shown in this work that in the case when the configuration space of a dynamic system is a two-dimensional sphere, any field of symmetries of the second order is Hamiltonian as to its pulses. There is described a large class of fields of symmetries of the geodesic flow on the two-phase sphere.
Received: 24.04.1995
Citation:
P. V. Anikeyev, “About the Fields of Symmetry of the Second Power of the Reversible Systems on the Two-dimensional Torus”, Regul. Chaotic Dyn., 1:1 (1996), 45–53
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https://www.mathnet.ru/eng/rcd7 https://www.mathnet.ru/eng/rcd/v1/i1/p45
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