Generalizations of the concept of marginal synchronization of chaos

Andrzej Krawiecki , A. Sukiennicki

Abstract

Generalizations of the concept of marginal synchronization between chaotic systems, i.e. synchronization with zero largest conditional Lyapunov exponent, are considered. Generalized marginal synchronization in drive–response systems is defined, for which the function between points of attractors of different systems is given up to a constant. Auxiliary system approach is shown to be able to detect this synchronization. Marginal synchronization in mutually coupled systems which can be viewed as drive–response systems with the response system influencing the drive system dynamics is also considered, and an example from solid-state physics is analyzed. Stability of these kinds of synchronization against changes of system parameters and noise is investigated. In drive–response systems generalized marginal synchronization is shown to be rather sensitive to the changes of parameters and may disappear either due to the loss of stability of the response system, or as a result of the blowout bifurcation. Nonlinear coupling of the drive system to the response system can stabilize marginal synchronization.
Author Andrzej Krawiecki (FP / PCSD)
Andrzej Krawiecki,,
- Physics of Complex Systems Divison
, A. Sukiennicki
A. Sukiennicki,,
-
Journal seriesChaos Solitons & Fractals, ISSN 0960-0779
Issue year2000
Vol11
No9
Pages1445-1458
ASJC Classification2600 General Mathematics
DOIDOI:10.1016/S0960-0779(99)00062-4
URL http://www.sciencedirect.com/science/article/pii/S0960077999000624
Score (nominal)30
Score sourcejournalList
Publication indicators WoS Citations = 34; GS Citations = 44.0; Scopus SNIP (Source Normalised Impact per Paper): 2000 = 0.728; WoS Impact Factor: 2006 = 2.042 (2) - 2007=2.574 (5)
Citation count*44 (2015-04-02)
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