Analysis of nonlinear oscillatory network dynamics via time-varying amplitude and phase variables†

摘要: The goal of this manuscript is to propose a method for investigating the global dynamics nonlinear oscillatory networks, with arbitrary couplings. procedure mainly based on assumption that each oscillator accurately described by couple variables, is, periodic orbits are represented through time-varying amplitude and phase variables. proposed allows one derive set coupled ordinary differential equations governing By exploiting these equations, prediction total number oscillations their bifurcations more accurate simpler respect given latest available methodologies. Furthermore, it proved technique also works weakly connected networks. Finally, applied chain third-order oscillators (Chua's circuits) results compared those obtained via numerical technique, harmonic balance approach. Copyright © 2007 John Wiley & Sons, Ltd.