JAROSLAWSKI, R and KOSCHANY, A and OBERMAIR, GM (1991) TRANSFORMATION PROPERTIES OF THE LYAPUNOV EXPONENT OF DYNAMIC-SYSTEMS UNDER DIFFEOMORPHISMS. ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 82 (3). pp. 437-440. ISSN 0722-3277,
Full text not available from this repository.Abstract
In this paper we present a geometric definition of the Lyapunov exponent on a differential manifold and investigate its transformation properties under changes of co-ordinates, or, more generally, under diffeomorphisms. The result is that not every diffeomorphism leaves the Lyapunov exponent invariant. A sufficient condition for invariance is the following: the tangent map of the diffeomorphism is bounded exponentially in the curve parameter for any curve in the manifold and any direction in the tangent bundle with basis restricted to this curve. At the end we show that for a free particle there are diffeomorphisms violating this condition, although they are even canonical maps.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; |
| Depositing User: | Dr. Gernot Deinzer |
| Last Modified: | 19 Oct 2022 08:47 |
| URI: | https://pred.uni-regensburg.de/id/eprint/55177 |
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