Harmonic Balance Analysis of Lur’e Oscillator Network With Non-Diffusive Weak Coupling

The central pattern generator (CPG) is a group of interconnected neurons, existing in biological systems as control center for oscillatory behaviors. We propose new approach based on the multivariable harmonic balance to characterize relationship between oscillation profile (frequency, amplitude, phase) and interconnections within CPG, modeled weakly coupled oscillators. In particular, taking advantage weak coupling, we formulate low-dimensional matrix whose eigenvalue/eigenvector capture perturbation due coupling. Then develop an algorithm estimate perturbed given suggest optimization synthesize produce profile.