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On the ergodic properties of piecewise linear perturbations of the twist map

Published online by Cambridge University Press:  19 September 2008

M. Wojtkowski
M. Wojtkowski
Affiliation:
Departement of Mathematics, Facultés Universitaires de Namur, Rempart de la Vierge 8, B-5000 Namur, Belgium
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Abstract

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It is proved that for a sequence of arbitrarily small piecewise linear perturbations of the twist map, there is a domain with stochastic behaviour (almost hyperbolicity). The measure of this domain has the asymptotics

where A is the magnitude of the perturbation.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 2 , Issue 3-4 , December 1982 , pp. 525 - 542
Copyright
Copyright © Cambridge University Press 1982

References

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