Chaotic synchronization in general network topology for scene segmentation

Authors:
Liang Zhao;Thiago H. Cupertino;João R. Bertini Jr.
Affiliations:
Institute of Mathematics and Computer Science, University of São Paulo, São Carlos, SP 13560-970, Brazil;Institute of Mathematics and Computer Science, University of São Paulo, São Carlos, SP 13560-970, Brazil;Institute of Mathematics and Computer Science, University of São Paulo, São Carlos, SP 13560-970, Brazil
Venue:
Neurocomputing
Year:
2008

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Abstract

Chaotic synchronization has been discovered to be an important property of neural activities, which in turn has encouraged many researchers to develop chaotic neural networks for scene and data analysis. In this paper, we study the synchronization role of coupled chaotic oscillators in networks of general topology. Specifically, a rigorous proof is presented to show that a large number of oscillators with arbitrary geometrical connections can be synchronized by providing a sufficiently strong coupling strength. Moreover, the results presented in this paper not only are valid to a wide class of chaotic oscillators, but also cover the parameter mismatch case. Finally, we show how the obtained result can be applied to construct an oscillatory network for scene segmentation.