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...
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...
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 ...
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...
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...
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 ...
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...
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...
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-...
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 ...
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...
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....
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)(...
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...
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...
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 ...
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...
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...
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...
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...
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...
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 ...
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,...
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...
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-...
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...
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...
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