نتایج جستجو برای: Devaney chaos

تعداد نتایج: 23722  

Journal: :journal of mahani mathematical research center 0
f. ayatollah zadeh shirazi university of tehran f. ebrahinifar university of tehran a. gharagozlou k. n. toosi university of technology

‎in the following text for arbitrary $x$ with at least two elements‎, ‎nonempty countable set $gamma$‎ ‎we make a comparative study on the collection of generalized shift dynamical systems like $(x^gamma,sigma_varphi)$ where $varphi:gammatogamma$ is an arbitrary self-map‎. ‎we pay attention to sub-systems and combinations of generalized shifts with counterexamples regarding devaney‎, ‎exact dev...

Journal: :Topology and its Applications 2013

Journal: :Chaos: An Interdisciplinary Journal of Nonlinear Science 2016

Journal: :Theor. Comput. Sci. 1997
Paola Favati Grazia Lotti Luciano Margara

We study the chaotic behavior of a particular class of dynamical systems: cellular automata. We specialize the definition of chaos given by Devaney for general dynamical systems to the case of cellular automata. A dynamical system (X,F) is chaotic according to Devaney’s definition of chaos if its ~sition map F is sensitive to the initial conditions, topolo~cally transitive, and has dense period...

Journal: :Dynamical Systems-an International Journal 2021

For any continuous self-map of a compact metric space, we prove saturation distributionally scrambled Mycielski sets under type shadowing and the chain transitivity. This extends result J. Li, S. Tu, Devaney chaos plus implies distributional chaos, Chaos 26 (2016), 093103, 6 pp.

Journal: :International Journal of Bifurcation and Chaos 2016

Journal: :Proceedings of the American Mathematical Society 2008

2014
Byungik Kahng Miguel Cuadros Jonathan Sullivan

It is known that the singularities of bounded invertible piecewise isometric dynamical systems in Euclidean plane can be classified as, removable, sliding and shuffling singularities, based upon their geometrical aspects. Moreover, it is known that the Devaney-chaos of the bounded invertible piecewise isometric systems can be generated only from the sliding singularities, while the other singul...

2007
Yuming Shi Pei Yu

This paper is concerned with chaos of a family of logistic maps. It is first proved that a regular and nondegenerate snap-back repeller implies chaos in the sense of both Devaney and Li-Yorke for a map in a metric space. Based on this result, it is shown that the logistic system is chaotic in the sense of both Devaney and Li-Yorke, and has uniformly positive Lyapunov exponents in an invariant s...

Journal: :Nonlinear Analysis: Theory, Methods & Applications 2010

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