title: Antiphase synchronization of phase-reduced oscillators using open-loop control.
abstract: In this report we present an elegant method to build and maintain an antiphase configuration of two nonlinear oscillators with different natural frequencies and dynamics described by the sinusoidal phase-reduced model. The antiphase 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.
authors.affiliation: Department of Electrical and Systems Engineering, Washington University, St. Louis, Missouri 63130, USA. dionisis@seas.wustl.edu
authors.forename: Dionisis
authors.initials: D
authors.lastname: Stefanatos
authors.forename: Jr-Shin
authors.initials: JS
authors.lastname: Li