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On Measure Chaotic Dynamical Systems

Journal: Sahand Communications in Mathematical Analysis (Vol.17, No. 4)

Publication Date:

Authors : ; ; ;

Page : 25-37

Keywords : chaos; Chaotic measure; Sensitivity;

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Abstract

In this paper, we introduce chaotic measure for discrete and continuous dynamical systems and study some properties of measure chaotic systems. Also relationship between chaotic measure, ergodic and expansive measures is investigated. Finally, we prove a new version of variational principle for chaotic measure.

Last modified: 2021-11-03 14:29:36