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Invariant measures for some one-dimensional attractors

Published online by Cambridge University Press:  19 September 2008

M. V. Jacobson
M. V. Jacobson
Affiliation:
Moscow, USSR
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Abstract

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We consider certain non-invertible maps of the square which are extensions of the quadratic maps of the interval and their small perturbations. We show that several maps of the type possess attractors which are not hyperbolic but have invariant measures similar to Bowen-Ruelle measures for hyperbolic attractors.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 2 , Issue 3-4 , December 1982 , pp. 317 - 337
Copyright
Copyright © Cambridge University Press 1982

References

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