%0 Journal Article %T On Measure Chaotic Dynamical Systems %J Sahand Communications in Mathematical Analysis %I University of Maragheh %Z 2322-5807 %A Ghorbani Moghaddam, Faride %A Zamani Bahabadi, Alireza %A Honary, Bahman %D 2020 %\ 11/01/2020 %V 17 %N 4 %P 25-37 %! On Measure Chaotic Dynamical Systems %K chaos %K Chaotic measure %K Sensitivity %R 10.22130/scma.2020.119707.736 %X 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. %U https://scma.maragheh.ac.ir/article_44724_76235e332253a166f905e8c43eaa33b2.pdf