| Frequency-Domain Methods for Nonlinear Analysis: Theory and Applications Contributor(s): Leonov, Gennady A. (Author), Ponomarenko, Dimitrij V. (Author), Smirnova, V. B. (Author) |
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ISBN: 9810221460 ISBN-13: 9789810221461 Publisher: World Scientific Publishing Company OUR PRICE: $119.70 Product Type: Hardcover Published: May 1996 |
| Additional Information |
| BISAC Categories: - Science | Chaotic Behavior In Systems - Mathematics |
| LCCN: 96200731 |
| Series: World Scientific Nonlinear Science Series a |
| Physical Information: 512 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |