SICNNs with Li-Yorke chaotic outputs on a time scale
نویسندگان
چکیده
منابع مشابه
Li-Yorke chaos generation by SICNNs with chaotic/almost periodic postsynaptic currents
We consider shunting inhibitory cellular neural networks with inputs and outputs that are chaotic in a modified Li-Yorke sense. The original Li-Yorke definition of chaos has been modified such that infinitely many periodic motions separated from the motions of the scrambled set are now replaced with almost periodic ones. Another principal novelty of the paper is that chaos is obtained as soluti...
متن کاملAttraction of Li-Yorke chaos by retarded SICNNs
In the present study, dynamics of retarded shunting inhibitory cellular neural networks (SICNNs) is investigated with Li–Yorke chaotic external inputs and outputs. Within the scope of our results, we prove the presence of generalized synchronization in coupled retarded SICNNs, and confirm it by means of the auxiliary system approach. We have obtained more than just synchronization, as it is pro...
متن کاملLI-YORKE CHAOTIC GENERALIZED SHIFT DYNAMICAL SYSTEMS
In this text we prove that in generalized shift dynamical system $(X^Gamma,sigma_varphi)$ for finite discrete $X$ with at least two elements, infinite countable set $Gamma$ and arbitrary map $varphi:GammatoGamma$, the following statements are equivalent: - the dynamical system $(X^Gamma,sigma_varphi)$ is Li-Yorke chaotic; - the dynamical system $(X^Gamma,sigma_varphi)$ has an scr...
متن کاملli-yorke chaotic generalized shift dynamical systems
in this text we prove that in generalized shift dynamical system $(x^gamma,sigma_varphi)$ for finite discrete $x$ with at least two elements, infinite countable set $gamma$ and arbitrary map $varphi:gammatogamma$, the following statements are equivalent: - the dynamical system $(x^gamma,sigma_varphi)$ is li-yorke chaotic; - the dynamical system $(x^gamma,sigma_varphi)$ has an scr...
متن کاملChaotic continua of (continuum-wise) expansive homeomorphisms and chaos in the sense of Li and Yorke
A homeomorphism f : X → X of a compactum X is expansive (resp. continuum-wise expansive) if there is c > 0 such that if x, y ∈ X and x 6= y (resp. if A is a nondegenerate subcontinuum of X), then there is n ∈ Z such that d(f(x), f(y)) > c (resp. diam f(A) > c). We prove the following theorem: If f is a continuum-wise expansive homeomorphism of a compactum X and the covering dimension of X is po...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Neurocomputing
سال: 2017
ISSN: 0925-2312
DOI: 10.1016/j.neucom.2016.09.073