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Invariant families of cones and Lyapunov exponents

Published online by Cambridge University Press:  19 September 2008

Maciej Wojtkowski
Maciej Wojtkowski
Affiliation:
Department of Mathematics, University of Arizona, Tucson, AZ 85721, USA
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Abstract

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We show that in several cases preservation of cones leads to non-vanishing of (some) Lyapunov exponents. It gives simple and effective criteria for nonvanishing of the exponents, which is demonstrated on the example of the billiards studied by Bunimovich. It is also shown that geodesic flows on manifolds of non-positive sectional curvature can be treated from this point of view.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 5 , Issue 1 , March 1985 , pp. 145 - 161
Copyright
Copyright © Cambridge University Press 1985

References

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