Items related to FREQUENCY-DOMAIN METHODS FOR NONLINEAR ANALYSIS: THEORY...

FREQUENCY-DOMAIN METHODS FOR NONLINEAR ANALYSIS: THEORY AND APPLICATIONS (Wold Scientific Series on Nonlinear Sciebcem Series A, Vol 9) - Hardcover

Leonov, St Petersburg Univ Russia G A; Ponomarenko, St Petersburg Univ Russia D V; Smirnova, V B

 
9789810221461: FREQUENCY-DOMAIN METHODS FOR NONLINEAR ANALYSIS: THEORY AND APPLICATIONS (Wold Scientific Series on Nonlinear Sciebcem Series A, Vol 9)
Hardcover
ISBN 10: 9810221460 ISBN 13: 9789810221461
Publisher: World Scientific Pub Co Inc, 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.

"synopsis" may belong to another edition of this title.

Publisher
World Scientific Pub Co Inc
Publication date
1996
Language
English
ISBN 10 
9810221460
ISBN 13 
9789810221461
Binding
Hardcover
Number of pages
512