On Measure Chaotic Dynamical Systems

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Ghorbani Moghaddam Faride; Zamani Bahabadi Alireza; Honary Bahman

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Journal Paper

Paper Information

Journal: SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS (SCMA) Year:2020 | Volume:17 | Issue:4 Page(s): 25-37

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Information Journal Paper

Title

On Measure Chaotic Dynamical Systems

Author(s)

Ghorbani Moghaddam Faride | Zamani Bahabadi Alireza | Honary Bahman | Issue Writer Certificate

Keywords

chaos

Chaotic measure

Sensitivity

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.

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