Anti-phase synchronization of phase-reduced oscillators using open-loop control

Details Anti-phase synchronization of phase-reduced oscillators using open-loop control Anti-phase synchronization of phase-reduced oscillators using open-loop control

2011-11-11

arxiv.org/abs/1111.2879v1

Nonlinear Sciences

Adaptation and Self-Organizing Systems

Scientific paper

In this letter, we present an elegant method to build and maintain an anti-phase configuration of two nonlinear oscillators with different natural frequencies and dynamics described by the sinusoidal phase-reduced model. The anti-phase synchronization is achieved using a common input that couples the oscillators and consists of a sequence of square pulses of appropriate amplitude and duration. This example provides a proof of principle that open-loop control can be used to create desired synchronization patterns for nonlinear oscillators, when feedback is expensive or impossible to obtain.

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