Transition from regularity to Li-Yorke chaos in coupled logistic networks

Xiang Li; Guanrong Chen

doi:10.1016/j.physleta.2005.03.014

Author(s)

Xiang Li
Guanrong Chen

Related Research Unit(s)

Department of Electrical Engineering

Detail(s)

Original language	English
Pages (from-to)	472-478
Journal / Publication	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	338
Issue number	6
Publication status	Published - 9 May 2005

Link(s)

DOI	DOI https://doi.org/10.1016/j.physleta.2005.03.014 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-17144428021&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(9fc01cd2-2818-4a16-830c-c64e2a9e6842).html

Abstract

The transition from regularity to chaos in the sense of Li-Yorke is investigated in this Letter. A logistic network is investigated in detail, where all nodes in the network are the same logistic maps in non-chaotic states (with the parameter μ in non-chaotic regions). It is proved that when μ>1, these non-chaotic logistic nodes can become chaotic in the sense of Li-Yorke. Extensive simulations lead to the conjecture that when μ≤1 such a logistic network is "super-stable", because no matter how strong the coupling strength is, the network does not transfer to a chaotic state. © 2005 Elsevier B.V. All rights reserved.