TY - JOUR ID - 44724 TI - On Measure Chaotic Dynamical Systems JO - Sahand Communications in Mathematical Analysis JA - SCMA LA - en SN - 2322-5807 AU - Ghorbani Moghaddam, Faride AU - Zamani Bahabadi, Alireza AU - Honary, Bahman AD - Department of pure mathematics, Ferdowsi university of Mashhad, Mashhad, Iran. Y1 - 2020 PY - 2020 VL - 17 IS - 4 SP - 25 EP - 37 KW - chaos KW - Chaotic measure KW - Sensitivity DO - 10.22130/scma.2020.119707.736 N2 - 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. UR - https://scma.maragheh.ac.ir/article_44724.html L1 - https://scma.maragheh.ac.ir/article_44724_76235e332253a166f905e8c43eaa33b2.pdf ER -