Title of article :
On Measure Chaotic Dynamical Systems
Author/Authors :
Ghorbani Moghaddam ، Faride Department of pure mathematics - Ferdowsi university of Mashhad , Zamani Bahabadi ، Alireza Department of pure mathematics - Ferdowsi university of Mashhad , Honary ، Bahman Department of pure mathematics - Ferdowsi university of Mashhad
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.
Keywords :
chaos , Chaotic measure , Sensitivity
Journal title :
Sahand Communications in Mathematical Analysis
Journal title :
Sahand Communications in Mathematical Analysis