Zobrazeno 1 - 10
of 72
pro vyhledávání: '"Risong Li"'
Publikováno v:
Entropy, Vol 26, Iss 8, p 674 (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 (gl)l=1∞ of continuous selfmaps gl:Y→Y. In this paper, for a given Furstenberg family
Externí odkaz:
https://doaj.org/article/b179fe53f2a64185bf8305badefd213c
Publikováno v:
Mathematics, Vol 11, Iss 23, p 4763 (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. Their research demonstrated that
Externí odkaz:
https://doaj.org/article/a0e5793190fe4aae8d9f2e455d886da5
Publikováno v:
Axioms, Vol 12, Iss 9, p 860 (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 leveraged to address challenges
Externí odkaz:
https://doaj.org/article/6be688a2fe874a7787170e037753d2b2
Publikováno v:
Mathematics, Vol 11, Iss 15, p 3310 (2023)
Several chaotic properties of cyclic permutation maps are considered. Cyclic permutation maps refer to p-dimensional dynamical systems of the form φ(b1,b2,⋯,bp)=(up(bp),u1(b1),⋯,up−1(bp−1)), where bj∈Hj (j∈{1,2,⋯,p}), p≥2 is an integ
Externí odkaz:
https://doaj.org/article/5ba63c7dca084568bd3bd2fea9826281
Publikováno v:
AIMS Mathematics, Vol 6, Iss 10, Pp 10495-10505 (2021)
As a stronger form of multi-sensitivity, the notion of ergodic multi-sensitivity (resp. strongly ergodically multi-sensitivity) is introduced. In particularly, it is proved that every topologically double ergodic continuous selfmap (resp. topological
Externí odkaz:
https://doaj.org/article/86e0627fdfc34396bdc436ea529818b4
Publikováno v:
Mathematics, Vol 11, Iss 6, p 1384 (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 nontrivial metric space (E,d). This paper defines and discusses some forms of ergodicity and s
Externí odkaz:
https://doaj.org/article/5112f3f9ca1b4f4b9079a3ebee36b2cf
Publikováno v:
Advances in Mathematical Physics, Vol 2022 (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 conditions or necessary conditions for the limit map h to be distributional chaotic are ob
Externí odkaz:
https://doaj.org/article/6ad0e66e103147d0960aa8b3aede0a03
Publikováno v:
Mathematics, Vol 10, Iss 22, p 4226 (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, the accessibility, and the col
Externí odkaz:
https://doaj.org/article/fbc888f29e8e45e3a70a3210b7218598
Autor:
Risong Li, Tianxiu Lu
Publikováno v:
Complexity, Vol 2020 (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, s≥2 is an integer, and Hk is a compact subinterval of the real line ℝ=
Externí odkaz:
https://doaj.org/article/d4cdf103edd5408185eb43753e4575a9
Publikováno v:
Complexity, Vol 2019 (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 space H1×H2. In this paper, we study G1,G2-chaos (resp. strong G1,G2-chaos) of suc
Externí odkaz:
https://doaj.org/article/4eda964b01504a7a8946daa65bdd93d9