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- 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...
- 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....
- 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 ...
- 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...