Optimal waveform for fast entrainment of weakly forced nonlinear oscillators.
Optimal waveform for fast entrainment of weakly forced nonlinear oscillators.
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用于快速夹带弱受迫非线性振荡器的最佳波形。
DOI：
10.1103/physrevlett.111.024102
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发表时间：
2013
影响因子：
8.6
通讯作者：
Jr
中科院分区：
文献类型：
--
作者：
Anatoly Zlotnik;Yifei Chen;I. Kiss;Hisa;Jr
对于许多生物和工程系统，一个中心功能或设计目标是缩短使节律过程与外部强迫信号同步所需的时间。我们提出了一种有效地最小化缠绕相位模型所需的平均瞬时时间的输入的理论，这使得构造一般非线性振子的快速缠绕波形成为一种实用的技术。这一结果在使用Hodgkin-Huxley神经元模型的数值模拟和振荡电化学系统的实验中得到了验证。
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.