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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...
- Some stronger forms of topological transitivity and sensitivity for a sequence of uniformly convergent continuous maps
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONSLi, Risong Lu, Tianxiu Chen, Guanrong Liu, Guo 出版年：2021
- Let (H, d) be a metric space, F be a Furstenberg family, and (gm)(m is an element of Z+) be a sequence of continuous map on H, which converges uniformly to a map g on H. In this paper, under the condition lim(m ->infinit...
- 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...
- <i>F</i>-sensitivity and (<i>F</i>1, <i>F</i>2)-sensitivity between dynamical systems and their induced hyperspace dynamical systems
- JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONSLi, Risong Zhao, Yu Wang, Hongqing Jiang, Ru Liang, Haihua 出版年：2017
- The notions of F-sensitivity and (F-1, F-2)-sensitivity were introduced and studied by Wang et al. via Furstenberg families in [H.-Y. Wang, J.-C. Xiong, F. Tan, Discrete Dyn. Nat. Soc., 2010 (2010), 12 pages]. In this pa...
- FURTHER DISCUSSION ON KATO'S CHAOS IN SET-VALUED DISCRETE SYSTEMS
- JOURNAL OF APPLIED ANALYSIS AND COMPUTATIONLi, Risong Lu, Tianxiu Chen, Guanrong Yang, Xiaofang 出版年：2020
- For a compact metric space Y and a continuous map g : Y -> Y, the collective accessibility and collectively Kato chaotic of the dynamical system (Y, g) were defined. The relations between topologically weakly mixing and ...
- Chaos in a topologically transitive semi-flow
- JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONSLi, Risong Lu, Tianxiu 出版年：2017
- In this paper, we study the chaotic phenomena in a topologically transitive, continuous semi-flow, and show that the erratic time dependence of orbits in such a semi-flow is more complicated than the one described by Li-...
- 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...
- Distributional Chaos and Sensitivity for a Class of Cyclic Permutation Maps
- MATHEMATICSZhao, Yu Anwar, Waseem Li, Risong Lu, Tianxiu Mo, Zhiwen 出版年：2023
- Several chaotic properties of cyclic permutation maps are considered. Cyclic permutation maps refer to p-dimensional dynamical systems of the form phi (b(1), b(2), . . . , b(p)) = (u(p)(b(p)), u(1)(b(1)), . . . , u(p-1)(...
- 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 ...
- Collective Sensitivity, Collective Accessibility, and Collective Kato's Chaos in Duopoly Games
- MATHEMATICSWang, Hongqing Lu, Tianxiu Li, Risong Chen, Yuanlin Li, Yongjiang Quan, Weizhen 出版年：2022
- By using the uniform continuity of two onto maps, this paper further explores stronger forms of Kato's chaos, sensitivity, and accessibility of Cournot maps. In particular, the sensitivity, the collective sensitivity, th...
- The Ergodicity and Sensitivity of Nonautonomous Discrete Dynamical Systems
- MATHEMATICSLi, Risong Lu, Tianxiu Wang, Hongqing Zhou, Jie Ding, Xianfeng Li, Yongjiang 出版年：2023
- Let (E, h(1,infinity))be a nonautonomous discrete dynamical system (briefly, N.D.D.S.) that is defined by a sequence (h(j))(j =1)(infinity) of continuous maps hj : E -> E over a nontrivial metric space ( E, d). This pape...
- 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....
- Furstenberg Family and Chaos for Time-Varying Discrete Dynamical Systems
- ENTROPYLi, Risong Li, Yongjiang Lu, Tianxiu Zhao, Jiazheng Su, Jing 出版年：2024
- Assume that (Y, rho) is a nontrivial complete metric space, and that (Y,g(1,infinity)) is a time-varying discrete dynamical system (T-VDDS), which is given by sequences (gl)(l=1)(infinity) of continuous selfmaps g(l): Y ...
- Note on chaos of a coupled lattice system related with the Belusov-Zhabotinskii reaction
- JOURNAL OF MATHEMATICAL CHEMISTRYLi, Risong Zhao, Yu 出版年：2020
- In Garcia Guirao and Lampart (J Math Chem 48:159-164, 2010) considered a lattice dynamical system which is stated by Kaneko (Phys Rev Lett 65:1391-1394, 1990) and related to the Belusov-Zhabotinskii reaction. In this not...
- Three Types of Distributional Chaos for a Sequence of Uniformly Convergent Continuous Maps
- ADVANCES IN MATHEMATICAL PHYSICSLi, Risong Lu, Tianxiu Pi, Jingmin Anwar, Waseem 出版年：2022
- Let (h(s))(s=1)(infinity) be a sequence of continuous maps on a compact metric space W which converges uniformly to a continuous map h on W. In this paper, some equivalence conditions or necessary conditions for the limi...
- Spatio-temporal chaos in duopoly games
- JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONSLi, Risong Zhao, Yu Lu, Tianxiu Jiang, Ru Wang, Hongqing Liang, Haihua 出版年：2017
- Suppose that G and H are two given closed subintervals of R, and that q : G -> H and p : H -> G are continuous maps. Let Gamma(s, t) = (p (t), q (s)) be a Cournot map over the space G x H. In this paper, we study spatio-...
- A NOTE ON TOPOLOGICALLY TRANSITIVE TREE MAPS
- JOURNAL OF APPLIED ANALYSIS AND COMPUTATIONLi, Risong Lu, Tianxiu Quan, Weizhen Pi, Jingmin 出版年：2020
- In this note, W is a tree. F : W -> W is a continuous map. k(W) = {C subset of W : C not equal empty set and C is compact} is endowed with a Hausdorff metric. The paper gives a sufficient and necessary condition under wh...
- Measurable Sensitivity for Semi-Flows
- MATHEMATICSQuan, Weizhen Lu, Tianxiu Li, Risong Chen, Yuanlin Ding, Xianfeng Li, Yongjiang 出版年：2023
- Sensitive dependence on initial conditions is a crucial characteristic of chaos. The concept of measurable sensitivity (MS) was introduced as a measure-theoretic version of sensitive dependence on initial conditions. The...
- Finite Chaoticity and Pairwise Sensitivity of a Strong-Mixing Measure-Preserving Semi-Flow
- AXIOMSLi, Risong Pi, Jingmin Li, Yongjiang Lu, Tianxiu Wang, Jianjun Ding, Xianfeng 出版年：2023
- Chaos is a common phenomenon in nature and social SCIences. As is well known, chaos has multiple definitions, and there are both differences and connections between them. The unique properties of chaotic systems can be l...
- <i>N</i>-Convergence and Chaotic Properties of Non-autonomous Discrete Systems
- QUALITATIVE THEORY OF DYNAMICAL SYSTEMSLi, Risong Malek, Michal 出版年：2023
- Let f(1,infinity) := (f(n))(infinity)(n=1) be a non-autonomous dynamical system on a compact metric space X. For a given N? N we consider Nth iterate f ([N]similar to)(1,infinity) of the system (i.e. f ([N]similar to)(1,...
