Synchronization stability of three chaotic systems with linear coupling

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Original languageEnglish
Pages (from-to)231-240
Journal / PublicationPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number3-4
Publication statusPublished - 26 Aug 2002


This Letter introduces a new method - mode decomposition - for stability analysis of periodic orbits. Using this method, the stability of a periodic solution of an autonomous system, as well as the stability of synchronization within three chaotic systems with linear coupling, can be analyzed. As an example, a rigorous sufficient condition on the coupling coefficients for achieving chaos synchronization is obtained, for the case of three-coupled identical Lorenz systems. Numerical simulations are shown for demonstration. © 2002 Elsevier Science B.V. All rights reserved.