Optimal waveform for fast entrainment of weakly forced nonlinear oscillators

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 pha...

Full description

Saved in:
Bibliographic Details
Published in:Physical review letters 2013-07, Vol.111 (2), p.024102-024102, Article 024102
Main Authors: Zlotnik, Anatoly, Chen, Yifei, Kiss, István Z, Tanaka, Hisa-Aki, Li, Jr-Shin
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.111.024102