Can I read Hopf Bifurcation Analysis Volume 21 (A Frequency Domain Approach) on EtoBox?

Hopf Bifurcation Analysis Volume 21 (A Frequency Domain Approach) by Moiola, Jorge L; Chen, Guanrong is a scholarly article available to read on EtoBox.

What is Hopf Bifurcation Analysis Volume 21 (A Frequency Domain Approach) about?

This book is devoted to the frequency domain approach, for both regular and degenerate Hopf bifurcation analyses. Besides showing that the time and frequency domain approaches are in fact equivalent, the fact that many significant results and computational formulas obtained in the studies of regular and degenerate Hopf bifurcations from the time domain approach can be translated and reformulated into the corresponding frequency domain setting, and be reconfirmed and rediscovered by using the frequency domain methods, is also explained. The description of how the frequency domain approach can be used to obtain several types of standard bifurcation conditions for general nonlinear dynamical systems is given as well as is demonstrated a very rich pictorial gallery of local bifurcation diagrams for nonlinear systems under simultaneous variations of several system parameters. In conjunction with this graphical analysis of local bifurcation diagrams, the defining and nondegeneracy conditions for several degenerate Hopf bifurcations is presented. With a great deal of algebraic computation, some higher-order harmonic balance approximation formulas are derived, for analyzing the dynamical b

Author

Moiola, Jorge L; Chen, Guanrong

Publisher

World Scientific Publishing Co Pte Ltd

Published

1996

Language

EN

ISBN

9789810226282