Title :
Harmonic balance analysis of codimension-2 bifurcations in periodic systems
Author_Institution :
Dipartimento di Elettronica e Inf., Politecnico di Milano, Italy
fDate :
12/1/1996 12:00:00 AM
Abstract :
The harmonic balance method is used to analyze two types of codimension-2 bifurcations in periodic systems, namely the cusp and the generalized flip. The relationship between them and the bifurcations of a suitably defined stationary system (the Harmonic Balance system) are pointed out. A computational scheme is set up to detect such bifurcations in a two-parameter plane. Numerical examples illustrate the effectiveness of the method
Keywords :
bifurcation; nonlinear dynamical systems; time-varying systems; codimension-2 bifurcations; computational scheme; cusp; generalized flip; harmonic balance method; periodic systems; two-parameter plane; Bifurcation; Circuits; Differential equations; Fourier series; Harmonic analysis; Nonlinear dynamical systems;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
