Frequency-domain Methods for Nonlinear Analysis: Theory and Applications (World Scientific Series on Nonlinear Science, Series A): 9 - Hardcover

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

Hardcover

ISBN 10: 9810221460 ISBN 13: 9789810221461

Publisher: World Scientific Publishing Co Pte Ltd, 1995

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.

Edition details

• Publisher: World Scientific Publishing Co Pte Ltd
• Publication date: 1995
• Language: English
• ISBN 10: 9810221460
• ISBN 13: 9789810221461
• Binding: Hardcover
• Number of pages: 512