Optimal waveform for the entrainment of a weakly forced oscillator
Chaotic Dynamics
2015-05-19 v1
Abstract
A theory for obtaining waveform for the effective entrainment of a weakly forced oscillator is presented. Phase model analysis is combined with calculus of variation to derive a waveform with which entrainment of an oscillator is achieved with minimum power forcing signal. Optimal waveforms are calculated from the phase response curve and a solution to a balancing condition. The theory is tested in chemical entrainment experiments in which oscillations close to and further away from a Hopf bifurcation exhibited sinusoidal and higher harmonic nontrivial optimal waveforms, respectively.
Keywords
Cite
@article{arxiv.1007.4262,
title = {Optimal waveform for the entrainment of a weakly forced oscillator},
author = {Takahiro Harada and Hisa-Aki Tanaka and Michael J. Hankins and István Z. Kiss},
journal= {arXiv preprint arXiv:1007.4262},
year = {2015}
}
Comments
11 pages, 3 figures, to appear in PRL 2010