Interaction between Liénard and Ikeda dynamics in a nonlinear electro-optical oscillator with delayed bandpass feedback

We report on experimental and theoretical analysis of the complex dynamics generated by a nonlinear time-delayed electro-optic bandpass oscillator. We investigate the interaction between the slow- and fast-scale dynamics of autonomous oscillations in the breather regime. We analyze in detail the cou...

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Bibliographic Details
Published in:Physical review. E 2016-12, Vol.94 (6-1), p.062208-062208, Article 062208
Main Authors: Marquez, Bicky A, Larger, Laurent, Brunner, Daniel, Chembo, Yanne K, Jacquot, Maxime
Format: Article
Language:English
Subjects:
Optics
Physics
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Summary:We report on experimental and theoretical analysis of the complex dynamics generated by a nonlinear time-delayed electro-optic bandpass oscillator. We investigate the interaction between the slow- and fast-scale dynamics of autonomous oscillations in the breather regime. We analyze in detail the coupling between the fast-scale behavior associated to a characteristic low-pass Ikeda behavior and the slow-scale dynamics associated to a Liénard limit-cycle. Finally, we show that when projected onto a two-dimensional phase space, the attractors corresponding to periodic and chaotic breathers display a spiral-like pattern, which strongly depends on the shape of the nonlinear function.
ISSN:2470-0045
2470-0053
DOI:10.1103/PhysRevE.94.062208