Lower bounds of the topological entropy for nonautonomous dynamical systems
Tóm tắt
In this paper, lower bounds of the topological entropy for nonautonomous dynamical systems are given via the growths of topological complexity in fundamental group and in degree.
Tài liệu tham khảo
Katok A, Hasselblatt B. Introduction to the Modern Theory of Dynamical Systems, New York: Cambridge University Press, 1995.
Franks J, Misiurewicz M. Topological methods, in dynamics. In: B Hasselblatt and A Katok eds, Handbook of Dynamical Systems, Vol 1A, Amsterdam: Elsevier, 2005, 547–598.
Manning A. Topological entropy and the first homology group. In: Lecture Notes in Math 468, Berlin: Springer, 1975, 185–190.
Misiurewicz M, Przytycki F. Topological entropy and degree of smooth mappings, Bull Acad Pol Sci, Ser Sci Math, Astr Phys, 1977, 25: 573–574.
Walters P. An Introduction to Ergodic Theory, New York: Springer, 1982.
Kolyada S, Snoha L. Topological entropy of nonautonomous dynamical systems, Random Comput Dyn, 1996, 4(2,3): 205–223
Zhang Jinlian, Zhu Yujun, He Lianfa. Preimage entropy for nonautonomous dynamical systems, Acta Math Sinica, 2005, 48(4): 693–702.
Zhu Yujun, Zhang Jinlian, He Lianfa. Topological entropy of a sequence of monotone maps on circles, J Korean Math Soc, 2006, 43(2): 373–382.