title: Optimal waveform for fast entrainment of weakly forced nonlinear oscillators.
abstract: For many biological and engineered systems, a central function or design goal is to abbreviate the time required to synchronize a rhythmic process to an external forcing signal. We present a theory for deriving the input that effectively minimizes the average transient time required to entrain a phase model, which enables a practical technique for constructing fast entrainment waveforms for general nonlinear oscillators. This result is verified in numerical simulations using the Hodgkin-Huxley neuron model, and in experiments on an oscillatory electrochemical system.
authors.affiliation: Electrical and Systems Engineering, Washington University in St. Louis, St. Louis, Missouri 63130, USA. azlotnik@ese.wustl.edu
authors.forename: Anatoly
authors.initials: A
authors.lastname: Zlotnik
authors.forename: Yifei
authors.initials: Y
authors.lastname: Chen
authors.forename: István Z
authors.initials: IZ
authors.lastname: Kiss
authors.forename: Hisa-Aki
authors.initials: HA
authors.lastname: Tanaka
authors.forename: Jr-Shin
authors.initials: JS
authors.lastname: Li