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FREQUENCY-DOMAIN METHODS FOR NONLINEAR ANALYSIS: THEORY AND APPLICATIONS: 9 (WORLD SCIENTIFIC SERIES ON NONLINEAR SCIENCE SERIES A) - Tapa dura

Leonov, G A; Ponomarenko, D V; Smirnova, V B

 
9789810221461: FREQUENCY-DOMAIN METHODS FOR NONLINEAR ANALYSIS: THEORY AND APPLICATIONS: 9 (WORLD SCIENTIFIC SERIES ON NONLINEAR SCIENCE SERIES A)
Tapa dura
ISBN 10: 9810221460 ISBN 13: 9789810221461
Editorial: World Scientific Publishing Co Pte Ltd, 1996

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Reseña del editor

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
World Scientific Publishing Co Pte Ltd
Año de publicación
1996
Idioma
Inglés
ISBN 10 
9810221460
ISBN 13 
9789810221461
Encuadernación
Tapa dura
Número de páginas
512
Contacto del fabricante
no disponible
Persona responsable
no disponible