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Time-delayed control of chaos in the Ikeda system

Nikita Ryskin, Oleg Khavroshin
Modification of time-delayed controlling chaos technique for suppress of self-modulation instability in delayed-feedback distributed systems is proposed. Efficiency of the method is demonstrated for the example of a ring-loop resonator partly filled with a nonlinear dispersive media (Ikeda system). It is shown that application of the additional external feedback with properly chosen delay and phase shift can stabilize steady-state single-frequency oscillations even when the dynamics of the system without control is chaotic.
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