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Zbl 0982.37022
Krawiecki, A.; Sukiennicki, A.
Generalizations of the concept of marginal synchronization of chaos. (English)
[J] Chaos Solitons Fractals 11, No.9, 1445-1458 (2000). ISSN 0960-0779

This paper is devoted to the problem of marginal synchronization of chaos. Generalized marginal synchronization in a drive-response system is defined and an example from this kind of solid-state physics is analyzed. Moreover, stability of this kind of synchronization is studied. The authors show that in drive-response systems generalized marginal synchronization is 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 a blowout bifurcation.
[Messoud Efendiev (Berlin)]

MSC 2000:: *37D45 Strange attractors, chaotic dynamics
37N20 Dynamical systems in other branches of physics
34C28 Other types of "recurrent" solutions of ODE
37G99 Bifurcation theory

Keywords: chaos; synchronization; drive-response system; blowout bifurcation

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