Symbolic Dynamics and Chaotic Synchronization in Coupled Duffing Oscillators
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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 Poincaré 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.
- © 2008, the Authors. Published by Atlantis Press.
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Cite this article
TY - JOUR AU - Acilina Caneco AU - Clara Gracio AU - J. Leonel Rocha PY - 2008 DA - 2008/10/01 TI - Symbolic Dynamics and Chaotic Synchronization in Coupled Duffing Oscillators JO - Journal of Nonlinear Mathematical Physics SP - 102 EP - 111 VL - 15 IS - supplement 3 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2008.15.s3.11 DO - 10.2991/jnmp.2008.15.s3.11 ID - Caneco2008 ER -