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Local transversal Lyapunov exponents for analysis of synchronization of chaotic systems
Author(s) -
Galias Zbigniew
Publication year - 1999
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/(sici)1097-007x(199911/12)27:6<589::aid-cta85>3.0.co;2-b
Subject(s) - lyapunov exponent , synchronization (alternating current) , transversal (combinatorics) , synchronization of chaos , chaotic , control theory (sociology) , chaotic systems , computer science , mathematics , topology (electrical circuits) , mathematical analysis , artificial intelligence , control (management) , combinatorics
In this paper we consider the problem of synchronization of coupled chaotic systems. Synchronization is studied by means of local transversal Lyapunov exponents. We show that they can be successfully used in investigations of synchronization properties. A criterion for synchronization based on this concept is developed and discussed. Using examples of coupled Hénon maps and coupled hyperchaotic electronic systems we compare this technique with other methods for investigation of synchronization properties. Copyright © 1999 John Wiley & Sons, Ltd.