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Different types of chaos synchronization in two coupled piecewise linear maps

Yuri Maistrenko and Tomasz Kapitaniak
Phys. Rev. E 54, 3285 – Published 1 October 1996
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Abstract

Dynamics of a four-parameter family of two-dimensional piecewise linear endomorphisms which consist of two linearly coupled one-dimensional maps is considered. We show that under analytically given conditions chaotic behavior in both maps can be synchronized. Depending on the coupling the parameters chaotic attractor’s synchronized state is characterized by different types of stability. © 1996 The American Physical Society.

  • Received 25 April 1996

DOI:https://doi.org/10.1103/PhysRevE.54.3285

©1996 American Physical Society

Authors & Affiliations

Yuri Maistrenko

  • Institute of Mathematics, Academy of Sciences of Ukraine, 3 Tereshchenkivska st, Kiev 252601, Ukraine

Tomasz Kapitaniak

  • Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924 Lodz, Poland

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Vol. 54, Iss. 4 — October 1996

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