Article ID Journal Published Year Pages File Type
724162 IFAC Proceedings Volumes 2006 6 Pages PDF
Abstract

The paper deals with the characterization of Hopf bifurcations in families of simple nonlinear systems, i.e., third-order autonomous systems with few nonlinear terms. By employing Harmonic Balance (HB) tools, the complete set of system parameters corresponding to supercritical and subcritical bifurcations is determined. In addition, it is shown how parameters defining supercritical bifurcations can be used as starting points in bifurcation analysis, in order to locate quite simple system able to display complex behaviours.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics