Harmonic Balance Analysis of Lur’e Oscillator Network With Non-Diffusive Weak Coupling
Harmonic Balance Analysis of Lur’e Oscillator Network With Non-Diffusive Weak Coupling
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DOI：
10.1109/lcsys.2022.3232408
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发表时间：
2023
影响因子：
3
通讯作者：
Bryan Lee;T. Iwasaki
中科院分区：
文献类型：
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作者：
Bryan Lee;T. Iwasaki
中央模式发生器（CPG）是一组相互连接的神经元，存在于生物系统中作为振荡行为的控制中心。我们提出了一种新的方法的基础上的多变量谐波平衡的振荡配置文件（频率，幅度，相位）和互连内的CPG，建模为弱耦合振荡器之间的关系进行表征。特别是，利用弱耦合，我们制定了一个低维矩阵，其特征值/特征向量捕获由于耦合的振荡分布的扰动。然后，我们开发了一个算法来估计一个给定的CPG的扰动振荡配置文件，并提出了一个优化来合成的互连产生一个给定的振荡配置文件。
The central pattern generator (CPG) is a group of interconnected neurons, existing in biological systems as a control center for oscillatory behaviors. We propose a new approach based on the multivariable harmonic balance to characterize the relationship between the oscillation profile (frequency, amplitude, phase) and interconnections within the CPG, modeled as weakly coupled oscillators. In particular, taking advantage of the weak coupling, we formulate a low-dimensional matrix whose eigenvalue/eigenvector capture the perturbation in the oscillation profile due to the coupling. Then we develop an algorithm to estimate the perturbed oscillation profile of a given CPG, and suggest an optimization to synthesize the interconnections to produce a given oscillation profile.