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Zbl 0937.37019
Yang, Tao; Chua, Leon O.
Generalized synchronization of chaos via linear transformations. (English)
[J] Int. J. Bifurcation Chaos Appl. Sci. Eng. 9, No.1, 215-219 (1999). ISSN 0218-1274

Summary: Generalized synchronization (GS) of two chaotic systems is a generalization of identical synchronization. Usually, the manifold of GS is much more complex than the driven system and the driving system. In this paper, the authors study a special case of GS in which the synchronization manifold is linear (linear GS for short). In a theorem, they present the necessary and sufficient conditions under which a linear GS can be achieved between two chaotic systems. In particular, they study the linear GS of two Chua's circuits.

MSC 2000:: *37D45 Strange attractors, chaotic dynamics
34C05 Qualitative theory of some special solutions of ODE

Keywords: chaotic systems; synchronization

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