Search Results - "Li, Risong"

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  1. 1

    A note on shadowing with chain transitivity by Li, Risong

    “…► Chain transitivity. ► Shadowing property. ► Syndetical sensitivity. ► Equicontinuous map. ► Ergodical sensitivity. Let f : X→X be a continuous map of a…”
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  2. 2

    Characterizing ergodicity of induced hyperspace dynamical systems by Li, Risong

    “…Let E be Hausdorff locally compact second countable spaces (HLCSC) and ( 2 E , 2 f ) (hit-or-miss topology equipped) be hyperspace dynamical system induced by…”
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  3. 3

    Note on chaos of a coupled lattice system related with the Belusov–Zhabotinskii reaction by Li, Risong, Zhao, Yu

    Published in Journal of mathematical chemistry (01-06-2020)
    “…In García 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)…”
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  4. 4

    N-Convergence and Chaotic Properties of Non-autonomous Discrete Systems by Li, Risong, Málek, Michal

    Published in Qualitative theory of dynamical systems (01-06-2023)
    “…Let f 1 , ∞ : = ( f n ) n = 1 ∞ be a non-autonomous dynamical system on a compact metric space X . For a given N ∈ N we consider N th iterate f 1 , ∞ [ N ] of…”
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  5. 5

    Furstenberg Family and Chaos for Time-Varying Discrete Dynamical Systems by Li, Risong, Li, Yongjiang, Lu, Tianxiu, Zhao, Jiazheng, Su, Jing

    Published in Entropy (Basel, Switzerland) (09-08-2024)
    “…Assume that (Y,ρ) is a nontrivial complete metric space, and that (Y,g1,∞) is a time-varying discrete dynamical system (T-VDDS), which is given by sequences…”
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  6. 6

    The Topological Entropy of Cyclic Permutation Maps and Some Chaotic Properties on Their MPE sets by Li, Risong, Lu, Tianxiu

    Published in Complexity (New York, N.Y.) (2020)
    “…In this paper, we study some chaotic properties of s-dimensional dynamical system of the form Ψa1,a2,…,as=gsas,g1a1,…,gs−1as−1, where ak∈Hk for any k∈1,2,…,s,…”
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  7. 7

    Chaos in Duopoly Games via Furstenberg Family Couple by Zhao, Yu, Li, Risong

    Published in Complexity (New York, N.Y.) (2019)
    “…Assume that H1 and H2 are two given closed subintervals of ℝ and that f2:H1⟶H2 and f1:H2⟶H1 are continuous maps. Let ϒh1,h2=f1h2,f2h1 be a Cournot map over the…”
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  8. 8

    Three Types of Distributional Chaos for a Sequence of Uniformly Convergent Continuous Maps by Li, Risong, Lu, Tianxiu, Pi, Jingmin, Anwar, Waseem

    Published in Advances in mathematical physics (18-06-2022)
    “…Let hss=1∞ 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…”
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  9. 9

    Distributional Chaos and Sensitivity for a Class of Cyclic Permutation Maps by Zhao, Yu, Anwar, Waseem, Li, Risong, Lu, Tianxiu, Mo, Zhiwen

    Published in Mathematics (Basel) (01-08-2023)
    “…Several chaotic properties of cyclic permutation maps are considered. Cyclic permutation maps refer to p-dimensional dynamical systems of the form…”
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  10. 10

    Stronger Forms of Sensitivity for Measure-Preserving Maps and Semiflows on Probability Spaces by Li, Risong, Shi, Yuming

    Published in Abstract and Applied Analysis (01-01-2014)
    “…This paper is concerned with some stronger forms of sensitivity for measure-preserving maps and semiflows on probability spaces. A new form of sensitivity is…”
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  11. 11

    Measurable Sensitivity for Semi-Flows by Quan, Weizhen, Lu, Tianxiu, Li, Risong, Chen, Yuanlin, Ding, Xianfeng, Li, Yongjiang

    Published in Mathematics (Basel) (01-12-2023)
    “…Sensitive dependence on initial conditions is a crucial characteristic of chaos. The concept of measurable sensitivity (MS) was introduced as a…”
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  12. 12

    Finite Chaoticity and Pairwise Sensitivity of a Strong-Mixing Measure-Preserving Semi-Flow by Li, Risong, Pi, Jingmin, Li, Yongjiang, Lu, Tianxiu, Wang, Jianjun, Ding, Xianfeng

    Published in Axioms (01-09-2023)
    “…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…”
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  13. 13

    The Ergodicity and Sensitivity of Nonautonomous Discrete Dynamical Systems by Li, Risong, Lu, Tianxiu, Wang, Hongqing, Zhou, Jie, Ding, Xianfeng, Li, Yongjiang

    Published in Mathematics (Basel) (01-03-2023)
    “…Let (E,h1,∞) be a nonautonomous discrete dynamical system (briefly, N.D.D.S.) that is defined by a sequence (hj)j=1∞ of continuous maps hj:E→E over a…”
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  14. 14

    Sensitivity for topologically double ergodic dynamical systems by Li, Risong, Lu, Tianxiu, Yang, Xiaofang, Jiang, Yongxi

    Published in AIMS mathematics (01-01-2021)
    “…As a stronger form of multi-sensitivity, the notion of ergodic multi-sensitivity (resp. strongly ergodically multi-sensitivity) is introduced. In particularly,…”
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  15. 15

    Collective Sensitivity, Collective Accessibility, and Collective Kato’s Chaos in Duopoly Games by Wang, Hongqing, Lu, Tianxiu, Li, Risong, Chen, Yuanlin, Li, Yongjiang, Quan, Weizhen

    Published in Mathematics (Basel) (01-11-2022)
    “…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…”
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  16. 16

    Several sufficient conditions for sensitive dependence on initial conditions by Li, Risong, Shi, Yuming

    Published in Nonlinear analysis (01-03-2010)
    “…This paper is concerned with sensitive dependence on initial conditions for maps and semi-flows. Several sufficient conditions for sensitive dependence are…”
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  17. 17

    A note on chaos via Furstenberg family couple by Li, Risong

    Published in Nonlinear analysis (01-03-2010)
    “…The concepts of the first type of distributional chaos in the Tan–Xiong sense (Abbrev. D C 1 in the Tan–Xiong sense), the second type of strong-distributional…”
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  18. 18

    A note on stronger forms of sensitivity for dynamical systems by Li, Risong

    Published in Chaos, solitons and fractals (01-06-2012)
    “…Let (X,d) be a compact metric space and (κ(X),dH) be the space of all non-empty compact subsets of X equipped with the Hausdorff metric dH. The dynamical…”
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  19. 19

    A Note on Ergodicity of Systems with the Asymptotic Average Shadowing Property by Li, Risong, Zhou, Xiaoliang

    Published in Discrete Dynamics in Nature and Society (01-01-2011)
    “…We prove that if a continuous, Lyapunov stable map f from a compact metric space X into itself is topologically transitive and has the asymptotic average…”
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  20. 20

    The large deviations theorem and ergodic sensitivity by Li, Risong

    “…Let (X,d) be a nontrivial compact metric space and f:X→X a continuous map. In this paper, we introduce the concept of ergodic sensitivity, which is a stronger…”
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