Search Results - "Li, Risong"
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A note on shadowing with chain transitivity
Published in Communications in nonlinear science & numerical simulation (01-07-2012)“…► Chain transitivity. ► Shadowing property. ► Syndetical sensitivity. ► Equicontinuous map. ► Ergodical sensitivity. Let f : X→X be a continuous map of a…”
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Characterizing ergodicity of induced hyperspace dynamical systems
Published in Boletín de la Sociedad Matemática Mexicana (01-03-2020)“…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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Note on chaos of a coupled lattice system related with the Belusov–Zhabotinskii reaction
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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N-Convergence and Chaotic Properties of Non-autonomous Discrete Systems
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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Furstenberg Family and Chaos for Time-Varying Discrete Dynamical Systems
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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The Topological Entropy of Cyclic Permutation Maps and Some Chaotic Properties on Their MPE sets
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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Chaos in Duopoly Games via Furstenberg Family Couple
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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Three Types of Distributional Chaos for a Sequence of Uniformly Convergent Continuous Maps
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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Distributional Chaos and Sensitivity for a Class of Cyclic Permutation Maps
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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Stronger Forms of Sensitivity for Measure-Preserving Maps and Semiflows on Probability Spaces
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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Measurable Sensitivity for Semi-Flows
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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Finite Chaoticity and Pairwise Sensitivity of a Strong-Mixing Measure-Preserving Semi-Flow
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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The Ergodicity and Sensitivity of Nonautonomous Discrete Dynamical Systems
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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Sensitivity for topologically double ergodic dynamical systems
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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Collective Sensitivity, Collective Accessibility, and Collective Kato’s Chaos in Duopoly Games
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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Several sufficient conditions for sensitive dependence on initial conditions
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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A note on chaos via Furstenberg family couple
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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A note on stronger forms of sensitivity for dynamical systems
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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A Note on Ergodicity of Systems with the Asymptotic Average Shadowing Property
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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The large deviations theorem and ergodic sensitivity
Published in Communications in nonlinear science & numerical simulation (01-04-2013)“…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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