Chaotic synchronization in 2D lattice for scene segmentation

Authors:
Liang Zhao;Fabricio Aparecido Breve
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
Venue:
Neurocomputing
Year:
2008

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Abstract

Synchronization and chaos play important roles in neural activities and have been applied in oscillatory correlation modeling for scene and data analysis. Although it is an extensively studied topic, there are still few results regarding synchrony in locally coupled systems. In this paper we give a rigorous proof to show that large numbers of coupled chaotic oscillators with parameter mismatch in a 2D lattice can be synchronized by providing a sufficiently large coupling strength. We demonstrate how the obtained result can be applied to construct an oscillatory network for scene segmentation.