Code: 05065025

Frequency-domain Methods For Nonlinear Analysis: Theory And Applications

Name: Frequency-domain Methods For Nonlinear Analysis: Theory And Applications
Brand: World Scientific Publishing Co Pte Ltd
SKU: 05065025
Price: 146.15 EUR
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by G.A. Leonov, D. V. Ponomarenko, V. B. Smirnova

Language: English
Binding: Hardback
Number of pages: 512
Publisher: World Scientific Publishing Co Pte Ltd, 1995
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Book 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, that is, 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.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

146.15 €

Full title: Frequency-domain Methods For Nonlinear Analysis: Theory And Applications
Author: G.A. Leonov, D. V. Ponomarenko, V. B. Smirnova
Language: English
Binding: Hardback
Number of pages: 512
EAN: 9789810221461
ISBN: 9810221460
ID: 05065025
Publisher: World Scientific Publishing Co Pte Ltd
Date of publishing: 28. September 1995