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Synchronization of Heterogeneous Oscillators by Noninvasive Time-Delayed Cross Coupling

Jüngling, Thomas; Fischer, Ingo; Schöll, Eckehard; Just, Wolfram
Physical Review Letters 115, 194101 (1-5) (2015)

We demonstrate that nonidentical systems, in particular, nonlinear oscillators with different time scales, can be synchronized if a mutual coupling via time-delayed control signals is implemented. Each oscillator settles on an unstable state, say a fixed point or an unstable periodic orbit, with a coupling force which vanishes in the long time limit. We present the underlying theoretical considerations and numerical simulations, and, moreover, demonstrate the concept experimentally in nonlinear electronic oscillators.