
Frequency-domain Methods For Nonlinear Analysis: Theory And Applications
World Scientific Publishing Co Pte Ltd
Will be published approx. on 1. May 1996
Book
Hardback
512 pages
978-981-02-2146-1 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Singapore
Singapore
Target group
College/higher education
Professional and scholarly
Product notice
sewn/stitched
Cloth over boards
ISBN-13
978-981-02-2146-1 (9789810221461)
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Schweitzer Classification
Persons
Author
St Petersburg State Univ, Russia
St. Petersburg Univ, Russia
St. Petersburg Univ, Russia
Content
Classical absolute stability theory; dichotomy and stability of equilibria sets; cycles, homoclinic and heteroclinic trajectories; strange attractors; estimates of dimensions.