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Pseudo-orbit tracing property and structural stability of expanding maps of the interval

Published online by Cambridge University Press:  19 September 2008

S. V. Šlačkov
S. V. Šlačkov
Affiliation:
Obninsk Institute of Atomic Power Engineering, 249020 Obninsk, USSR
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Abstract

A version of pseudo-orbit tracing property for piecewise-continuous piecewise-expanding maps of the interval is proved. It is shown that the typical map of such a kind can be included in a 2m-parameter structurally stable family where m is the number of critical points.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 12 , Issue 3 , September 1992 , pp. 573 - 587
Copyright
Copyright © Cambridge University Press 1992

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References

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