[HTML][HTML] Distributional chaos for operators on Banach spaces

NC Bernardes Jr, A Bonilla, A Peris, X Wu - Journal of Mathematical …, 2018 - Elsevier
Four notions of distributional chaos, namely DC1, DC2, DC 2 1 2 and DC3, are studied
within the framework of operators on Banach spaces. It is known that, for general dynamical …

Chaos particle swarm optimization algorithm for optimization problems

W Liu, N Luo, G Pan, A Ouyang - International Journal of Pattern …, 2018 - World Scientific
A chaos particle swarm optimization (CPSO) algorithm based on the chaos operator (CS) is
proposed for global optimization problems and parameter inversion of the nonlinear sun …

[HTML][HTML] On Li–Yorke and distributionally chaotic direct sum operators

Z Yin, S He, Y Huang - Topology and its Applications, 2018 - Elsevier
In this paper, sufficient conditions for the direct sum of countable linear operators on Banach
spaces to be Li–Yorke chaotic (distributionally chaotic) are presented. These conditions …

Invariance of chaos from backward shift on the Köthe sequence space

X Wu, G Chen, P Zhu - Nonlinearity, 2014 - iopscience.iop.org
In this paper it is proved that the backward shift operator on the Köthe sequence space
admits a pair which is not asymptotic, if and only if it has an uncountable invariant epsilon …

Syndetic Sensitivity and Mean Sensitivity for Linear Operators

Q Yao, P Zhu - Mathematics, 2023 - mdpi.com
We study syndetic sensitivity and mean sensitivity for linear dynamical systems. For the
syndetic sensitivity aspect, we obtain some properties of syndetic sensitivity for adjoint …

Devaney chaos and distributional chaos in the solution of certain partial differential equations

X Barrachina, JA Conejero - Abstract and Applied Analysis, 2012 - Wiley Online Library
Devaney Chaos and Distributional Chaos in the Solution of Certain Partial Differential
Equations - Barrachina - 2012 - Abstract and Applied Analysis - Wiley Online Library Skip to …

Mean Li-Yorke Chaos and Mean Sensitivity in Non-autonomous Discrete Systems

Z Yin, S He, Z Chen - Journal of Dynamical and Control Systems, 2023 - Springer
In this paper, mean Li-Yorke chaos and mean sensitivity are investigated in non-
autonomous discrete systems (X, f 1,∞), where f 1,∞={fi} i≥ 1 is a sequence of self-maps on …

Dense chaos and densely chaotic operators

X Wu, P Zhu - Tsukuba Journal of Mathematics, 2012 - JSTOR
The aim of this paper is to study dense chaos and densely chaotic operators on Banach
spaces. First, we prove that a dynamical system is densely δ-chaotic for some δ> 0 if and …

Linear Li–Yorke chaos in a finite-dimensional space with weak topology

X Zhang, G Chen - International Journal of Bifurcation and Chaos, 2021 - World Scientific
It is well known that a finite-dimensional linear system cannot be chaotic. In this article, by
introducing a weak topology into a two-dimensional Euclidean space, it shows that Li–Yorke …

Li–Yorke chaos of translation semigroups

X Wu - Journal of Difference Equations and Applications, 2014 - Taylor & Francis
Full article: Li–Yorke chaos of translation semigroups Skip to Main Content Taylor and Francis
Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home 2.All …