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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 ...
- 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 in a sequence and topologically weak mixing for nonautonomous discrete dynamical systems
- JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCSZhao, Yu Li, Risong Wang, Hongqing Liang, Haihua 出版年：2020
- Assume that (W, g(1,infinity)) is a nonautonomous discrete dynamical system given by sequences (g(m))(m=1)(infinity) of continuous maps on the space (W, d). In this paper, it is proven that if g(1,infinity) is topologica...
- 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-...
- 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...
- 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....
- 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)(...
- 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...
- Turbulence, Erratic Property and Horseshoes in a Coupled Lattice System related with Belusov-Zhabotinsky Reaction
- IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRYZhao, Yu Li, Risong 出版年：2020
- In this paper we continue to study the chaotic properties of the following lattice dynamical system b(j)(i+1) = alpha(1)g(b(j-1)(i)) + alpha(2)g(b(j)(i+1)) + alpha(3)g(b(j+1)(i)), where i is discrete time index, j is lat...
- 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 ...
- Characterizing ergodicity of induced hyperspace dynamical systems
- BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANALi, Risong 出版年：2020
- Let E be Hausdorff locally compact second countable spaces (HLCSC) and (2E,2f) (hit-or-miss topology equipped) be hyperspace dynamical system induced by a given dynamical system (E, f). In this paper, the concepts of top...
- 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...
- 关于不等式((sh x)/x)~a>ch x的研究
- 《高等数学研究》黎日松 石雄辉 出版年：2004
- 利用函数 y =shxx 的性质 ,得到 3个定理 ,改进了文 [1 ]、 [2 ]中相应结果。
- 关键词：不等式 函数 定理 性质 改进 被引量：0
- 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...
- 高等数学课程中“极限”的教学探究
- 《高教学刊》黎日松 卢天秀 全卫贞 凌伟钟 出版年：2024
- 对于高等院校中理科专业的大一新生而言,其仅是掌握中学所教的初等数学,在此基础上,要对高等院校所教的高等数学进行探究,具有一定难度。所以,高等数学的教学应注重从初等数学跨入高等数学的衔接性教学。在过渡期的教学中,应注重引导...
- 关键词：高等数学 极限 大一新生 衔接性教学 教学措施 被引量：0
- 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...
- Topological Entropy, Distributional Chaos and the Principal Measure of a Class of Belusov-Zhabotinskii's Reaction Models Presented by Garcia Guirao and Lampart
- IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRYWang, Hongqing Li, Risong 出版年：2021
- In this paper, the chaotic properties of the following Belusov-Zhabotinskii's reaction model is explored: a(1)(k+1) = (1-eta)theta(a(1)(k))+1/2 eta[theta(a(1-1)(k)) - theta(a(1+1)(k))]. where k is discrete time index, 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,...
- Kato's Chaos and P-Chaos of a Coupled Lattice System given by Garcia Guirao and Lampart which is Related with Belusov-Zhabotinskii Reaction
- IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRYLi, Risong 出版年：2020
- In (J. Math. Chem., 48: 66-71, 2010) and (J. Math. Chem., 48: 159-164, 2010) Garcia Guirao and Lampart presented the following lattice dynamical system stated by Kaneko in (Phys Rev Lett, 65: 1391-1394, 1990) which is re...
- 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...
- 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...
