Chaotic synchronization of Piecewise Linear Maps

We derive a threshold value for the coupling strength in terms of the topological entropy, to achieve synchronization of two coupled piecewise linear maps, for the unidirectional and for the bidirectional coupling. We prove a result that relates the synchronizability of two m-modal maps with the syn...

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Bibliographic Details
Main Author: Grácio, Clara (author)
Other Authors: Caneco, Acilina (author), Rocha, José (author)
Format: article
Language:eng
Published: 2012
Subjects:
Online Access:http://hdl.handle.net/10174/6750
Country:Portugal
Oai:oai:dspace.uevora.pt:10174/6750
Description
Summary:We derive a threshold value for the coupling strength in terms of the topological entropy, to achieve synchronization of two coupled piecewise linear maps, for the unidirectional and for the bidirectional coupling. We prove a result that relates the synchronizability of two m-modal maps with the synchronizability of two conjugated piecewise linear maps. An application to the bidirectional coupling of two identical chaotic Duffing equations is given.