Reversible diffeomorphisms and flows-Reference-Cited by-同舟云学术

Reversible diffeomorphisms and flows

Published:1976 Issue:0 Volume:218 Page:89-113
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Devaney Robert L.

Abstract

We generalize the classical notion of reversibility of a mechanical system. The generic qualitative properties of symmetric orbits of such systems are studied using transversality theory. In particular, we prove analogues of the closed orbit, Liapounov, and homoclinic orbit theorems for R-reversible systems.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1976-218-00/S0002-9947-1976-0402815-3/S0002-9947-1976-0402815-3.pdf

Reference22 articles.

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2. Dynamical systems with two degrees of freedom;Birkhoff, George D.;Trans. Amer. Math. Soc.,1917

3. Particle motions in a magnetic field;Braun, Martin;J. Differential Equations,1970

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