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Expansivity of semi-hyperbolic Lipschitz mappings

Published online by Cambridge University Press:  17 April 2009

P. Diamond ,
P. Kloeden ,
V. Kozyakin  and
A. Pokrovskii
P. Diamond
Affiliation:
Department of MathematicsUniversity of QueenslandQueensland 4072Australia
P. Kloeden
Affiliation:
Department of Computing and MathematicsDeakin UniversityGeelong Vic 3217Australia
V. Kozyakin
Affiliation:
Institute of Information Transmission ProblemsRussian Academy of Sciences19 Ermolovoy str. Moscow 101477Russia
A. Pokrovskii
Affiliation:
Institute of Information Transmission ProblemsRussian Academy of Sciences19 Ermolovoy str. Moscow 101477Russia
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Abstract

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Semi-hyperbolic dynamical systems generated by Lipschitz mappings are shown to be exponentially expansive, locally at least, and explicit rates of expansion are determined. The result is applicable to nonsmooth noninvertible systems such as those with hysteresis effects as well as to classical systems involving hyperbolic diffeomorphisms.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 51 , Issue 2 , April 1995 , pp. 301 - 308
Copyright
Copyright © Australian Mathematical Society 1995

References

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