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Optimal waveform for the entrainment of a weakly forced oscillator

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.

preprint2010arXivOpen access
Takahiro HaradaHisa-Aki TanakaMichael J. HankinsIstván Z. Kiss
nlin.CD
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Open access4 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Takahiro HaradaHisa-Aki TanakaMichael J. HankinsIstván Z. Kiss

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