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 ...
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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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Add this copy of Frequency-Domain Methods for Nonlinear Analysis: Theory to cart. $26.50, new condition, Sold by Scholars Attic rated 5.0 out of 5 stars, ships from Lake Barrington, IL, UNITED STATES, published 1996 by World Scientific Publishing Company.
Add this copy of Frequency-Domain Methods for...(V9) to cart. $89.03, Sold by Books International rated 3.0 out of 5 stars, ships from Toronto, ON, CANADA, published 1996 by World Scientific Publishing Company.
