Department of Physics, Graduate School of Science, The University of Tokyo, Tokyo 113-0033, Japan.
Phys Rev Lett. 2010 Aug 20;105(8):088301. doi: 10.1103/PhysRevLett.105.088301. Epub 2010 Aug 16.
A theory for obtaining a 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 a 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 farther away from a Hopf bifurcation exhibited sinusoidal and higher harmonic nontrivial optimal waveforms, respectively.
本文提出了一种获取弱强迫振荡器有效同步的波形理论。通过相位模型分析与变分学相结合，推导了一种利用最小功率强迫信号实现振荡器同步的波形。最优波形是根据相位响应曲线和平衡条件的解计算得到的。该理论在化学同步实验中得到了验证，其中接近和远离 Hopf 分岔的振荡分别表现出正弦和更高次谐波的非平凡最优波形。
