Frequency-domain Methods for Nonlinear Analysis

Frequency-domain Methods for Nonlinear Analysis
Author :
Publisher : World Scientific
Total Pages : 522
Release :
ISBN-10 : 9810221460
ISBN-13 : 9789810221461
Rating : 4/5 (461 Downloads)

Book Synopsis Frequency-domain Methods for Nonlinear Analysis by : Gennadi? Alekseevich Leonov

Download or read book Frequency-domain Methods for Nonlinear Analysis written by Gennadi? Alekseevich Leonov and published by World Scientific. This book was released on 1996 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


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