Results 11 to 20 of about 160,178 (282)

Chaos Synchronization of Nonlinear Fractional Discrete Dynamical Systems via Linear Control

open access: yesEntropy, 2017
By using a linear feedback control technique, we propose a chaos synchronization scheme for nonlinear fractional discrete dynamical systems. Then, we construct a novel 1-D fractional discrete income change system and a kind of novel 3-D fractional ...
Baogui Xin   +3 more
doaj   +3 more sources

On distributional chaos in non-autonomous discrete systems

open access: yesChaos, Solitons and Fractals, 2018
This paper studies distributional chaos in non-autonomous discrete systems generated by given sequences of maps in metric spaces. In the case that the metric space is compact, it is shown that a system is Li-Yorke{\delta}-chaotic if and only if it is ...
Shao, Hua, Shi, Yuming, Zhu, Hao
core   +3 more sources

Block-Coppels chaos in set-valued discrete systems [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2013
Let (X, d) be a compact metric space and f : X → X be a continuous map. Consider the metric space (K(X),H) of all non empty compact subsets of X endowed with the Hausdorff metric induced by d. Let ¯ f : K(X) → K(X) be defined by ¯ f(A) = {f(a) : a ∈ A} .
Mojtaba Jazaeri, Bahman Honary
doaj   +1 more source

Bifurcation analysis and chaos of a discrete-time Kolmogorov model

open access: yesJournal of Taibah University for Science, 2021
In this paper, we explore local dynamical characteristics with different topological classifications at fixed points, bifurcations and chaos in the discrete Kolmogorov model.
A. Q. Khan   +5 more
doaj   +1 more source

Bifurcation Analysis and 0-1 Chaos Test of a Discrete T System

open access: yesChaos Theory and Applications, 2023
This study examines discrete-time T system. We begin by listing the topological divisions of the system's fixed points. Then, we analytically demonstrate that a discrete T system sits at the foundation of a Neimark Sacker(NS) bifurcation under specific ...
Sarker Md Sohel Rana
doaj   +1 more source

Discrete chaos

open access: yesJournal of Physics A: Mathematical and General, 1999
Essentially a new paper. postscript figures are from a scanner, they can be ghostviewed in in windows environment or printed. to appear in J. Phys.
Waelbroeck, Henri, Zertuche, Federico
openaire   +3 more sources

Regular and irregular patterns of self-localized excitation in arrays of coupled phase oscillators [PDF]

open access: yes, 2015
We study a system of phase oscillators with nonlocal coupling in a ring that supports self-organized patterns of coherence and incoherence, called chimera states. Introducing a global feedback loop, connecting the phase lag to the order parameter, we can
Jan Sieber   +3 more
core   +3 more sources

Novel two dimensional fractional-order discrete chaotic map and its application to image encryption

open access: yesApplied Computing and Informatics, 2018
A new fractional two dimensional triangle function combination discrete chaotic map (2D-TFCDM) is proposed by utilizing the discrete fractional calculus. Furthermore, the chaos behaviors are numerically discussed in the fractional-order difference.
Zeyu Liu, Tiecheng Xia
doaj   +1 more source

A new approach to the treatment of Separatrix Chaos and its applications [PDF]

open access: yes, 2010
We consider time-periodically perturbed 1D Hamiltonian systems possessing one or more separatrices. If the perturbation is weak, then the separatrix chaos is most developed when the perturbation frequency lies in the logarithmically small or moderate ...
Khovanov, I. A.   +4 more
core   +1 more source

Finite Chaoticity and Pairwise Sensitivity of a Strong-Mixing Measure-Preserving Semi-Flow

open access: yesAxioms, 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.
Risong Li   +5 more
doaj   +1 more source

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