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A RECEIVER DESIGN APPROACH TO GENERALIZED SYNCHRONIZATION ON A LINEAR MANIFOLD

SILVANO CINCOTTI

Department of Biophysical and Electronic Engineering – University of Genoa, Via Opera Pia 11a, I-16145 Genova, Italy

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and

ANDREA TEGLIO

Department of Biophysical and Electronic Engineering – University of Genoa, Via Opera Pia 11a, I-16145 Genova, Italy

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https://doi.org/10.1142/S0218127404010771Cited by:1 (Source: Crossref)

Abstract

In this paper, generalized synchronization (GS) on a linear manifold between two algebraic nonlinear systems is considered. In particular, conditions for generalized synchronization on a linear manifold are derived and a general approach to the design of a nonlinear receiver that operates under GS conditions is presented. The coupling signal is unidirectional and depends on the state variables of the drive. Moreover, a method that ensures the occurrence of linear GS is discussed and applied to standard chaotic systems (i.e. Lorenz system and Chua's circuit).

Keywords:

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