Dynamics of Delay Equations, Theory and Applications - Abstract

Marquez, Bicky

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

We investigate on theoretical and experimental analysis of the complex dynamics generated by a nonlinear time-delayed electro-optic oscillator. 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, whose outcome belongs to a family of breathers. We experimentally demonstrate that a periodic modulation of the Mach-Zehnder operating point reproduces the essential features of the breather dynamical regime. We also show that when projected onto a two dimensional phase space, the attractors correspond to periodic and chaotic breathers display a spiral-like pattern which strongly depends on the shape of the nonlinear function.