Frequency-Domain Methods for Nonlinear Analysis: Theory and Applications - Couverture rigide

Leonov, Gennady A; Ponomarenko, Dimitrij V; Smirnova, V B

 
9789810221461: Frequency-Domain Methods for Nonlinear Analysis: Theory and Applications
Couverture rigide
ISBN 10 : 9810221460 ISBN 13 : 9789810221461
Editeur : World Scientific Publishing Co Pte Ltd, 1996

Synopsis

This book deals with the investigation of global attractors of nonlinear dynamical systems. The exposition proceeds from the simplest attractor of a single equilibrium to more complicated ones, i.e. to finite, denumerable and continuum equilibria sets; and further, to cycles, homoclinic and heteroclinic orbits; and finally, to strange attractors consisting of irregular unstable trajectories. On the complicated equilibria sets, the methods of Lyapunov stability theory are transferred. They are combined with stability techniques specially elaborated for such sets. The results are formulated as frequency-domain criteria. The methods connected with the theorems of existence of cycles and homoclinic orbits are developed. The estimates of Hausdorff dimensions of attractors are presented.

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
1996
Langue
anglais
ISBN 10 
9810221460
ISBN 13 
9789810221461
Reliure
Relié
Nombre de pages
512
Coordonnées du fabricant
non disponible
Personne responsable
non disponible