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Some Sufficient Conditions Under Which a Non-Autonomous Discrete System or Semi-Flow is Sensitive
SSRNLi, Risong Wang, Hongqing Lu, Tianxiu Li, YongJiang Quan, Weizhen  出版年:2022
In this paper we are concerned withsensitivity for non-autonomous discrete systems and semi-flows. Somesufficient conditions of sensitivity for non-autonomous discretesystems and semi-flows are established, where it is n...
Stronger Forms of Transitivity and Sensitivity for Nonautonomous Discrete Dynamical Systems and Furstenberg Families
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMSLi, Risong Zhao, Yu Wang, Hongqing Liang, Haihua  出版年:2020
Let (Y, d) be a nontrivial metric space and (Y, g(1,infinity)) be a nonautonomous discrete dynamical system given by sequences (gl)l=1 infinity and F2 be given shift-invariant Furstenberg families. In this paper, we stud...
Sensitivity and Transitivity of Systems Satisfying the Large Deviations Theorem in a Sequence
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOSLi, Risong Lu, Tianxiu Waseem, Anwar  出版年:2019
Let h : F -> F be a continuous selfmap of a nontrivial compact metric space (F, rho). This paper derives the large deviations theorem in a sequence. It is shown that if (h, eta) satisfies the large deviations theorem in ...
Several sufficient conditions for a map and a semi-flow to be ergodically sensitive
DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNALLi, Risong  出版年:2018
In this paper, we are concerned solely with the ergodic sensitivity for maps (resp. semi-flows), where these maps and semi-flows may not be continuous (in topology). A few new sufficient conditions under which a map (res...
The Topological Entropy of Cyclic Permutation Maps and Some Chaotic Properties on ThEIr MPE sets
COMPLEXITYLi, Risong Lu, Tianxiu  出版年:2020
In this paper, we study some chaotic properties of s-dimensional dynamical system of the form Psi (a(1), a(2),..., a(s)) = (g(s) (a(s)), g(1)(a(1)),..., g(s-1)(a(s-1))), where a(k) is an element of H-k for any k is an el...
Study on Strong Sensitivity of Systems Satisfying the Large Deviations Theorem
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOSLi, Risong Lu, Tianxiu Yang, Xiaofang Jiang, Yongxi  出版年:2021
Let (S,tau) be a nontrivial compact metric space with metric tau and g : S -> S be a continuous self-map, B(S) be the sigma-algebra of Borel subsets of S, and nu be a Borel probability measure on (S,B(S)) with nu(V ) is ...
Chaos in Duopoly Games via Furstenberg Family Couple
COMPLEXITYZhao, Yu Li, Risong  出版年:2019
Assume that H-1 and H-2 are two given closed subintervals of R and that f(2) : H-1 -> H-2 and f(1) : H-2 -> H-1 are continuous maps. Let Y(h(1), h(2)) = (f(1)(h(2)), f(2)(h(1))) be a Cournot map over the space H-1 x H-2....
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