Frequency-Domain Approach to Hopf Bifurcation Analysis: Continuous Time-Delayed Systems - Couverture rigide

Gentile, Franco Sebastian; Moiola, Jorge Luis; Chen, Guanrong

 
9789811205460: Frequency-Domain Approach to Hopf Bifurcation Analysis: Continuous Time-Delayed Systems
Couverture rigide
ISBN 10 : 9811205469 ISBN 13 : 9789811205460
Editeur : World Scientific Publishing Co Pte Ltd, 2019

Synopsis

This book is devoted to the study of an effective frequency-domain approach, based on systems control theory, to compute and analyze several types of standard bifurcation conditions for general continuous-time nonlinear dynamical systems. A very rich pictorial gallery of local bifurcation diagrams for such nonlinear systems under simultaneous variations of several system parameters is presented. Some higher-order harmonic balance approximation formulas are derived for analyzing the oscillatory dynamics in small neighborhoods of certain types of Hopf and degenerate Hopf bifurcations.

The frequency-domain approach is then extended to the large class of delay-differential equations, where the time delays can be either discrete or distributed. For the case of discrete delays, two alternatives are presented, depending on the structure of the underlying dynamical system, where the more general setting is then extended to the case of distributed time-delayed systems. Some representative examples in engineering and biology are discussed.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
World Scientific Publishing Co Pte Ltd
Date d'édition
2019
Langue
anglais
ISBN 10 
9811205469
ISBN 13 
9789811205460
Reliure
Relié
Nombre de pages
392
Coordonnées du fabricant
non disponible
Personne responsable
non disponible