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http://hdl.handle.net/10174/9201
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| Title: | Symbolic Dynamics and Chaotic Synchronization in Coupled Duffing Oscillators |
| Authors: | Caneco, Acilina
Grácio, Clara
Rocha, Jose |
| Keywords: | Synchronization
Duffing Equation |
| Issue Date: | 2008 |
| Publisher: | Journal of Nonlinear Mathematical Physics |
| Citation: | Acilina Caneco, Clara Grácio & J Leonel Rocha (2008): Symbolic Dynamics and Chaotic
Synchronization in Coupled Duffing Oscillators, Journal of Nonlinear Mathematical Physics, 15:sup3, 102-111 |
| 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. |
| URI: | http://www.tandfonline.com/doi/pdf/10.2991/jnmp.2008.15.s3.11
http://hdl.handle.net/10174/9201 |
| Type: | article |
| Appears in Collections: | CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
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