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Title: Symbolic Dynamics and Chaotic Synchronization in Coupled Duffing Oscillators
Authors: Grácio, Clara
Caneco, Acilina
Rocha, José
Keywords: duffing
Issue Date: 2008
Publisher: Journal of Nonlinear Mathematical Physics
Citation: Acilina Caneco, Clara Grácio and J. Leonel Rocha, “Symbolic Dynamics and chaotic synchronization in coupled Duffing oscillators Journal of Nonlinear Mathematical Physics, nº15 -3, pgs 102 – 111, 2008.
Abstract: In this work we discuss the complete synchronization of two identical double-well Duffing oscillators unidirectionally coupled, from the point of view of symbolic dynamics. Working with Poincar´e cross-sections and the return maps associated, the synchronization of the two oscillators, in terms of the coupling strength, is characterized. We obtained analytically the threshold value of the coupling parameter for the synchronization of two unimodal and two bimodal piecewise linear maps, which by semi-conjugacy, under certain conditions, gives us information about the synchronization of the Duffing oscillators.
Type: article
Appears in Collections:CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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