ENGLISH

Infinite-Dimensional Dynamical Systems: Volume 2 Attractors and Methods

By Boling Guo; Liming Ling; Yansheng Ma; Hui Yang

Book information

Publisher
de Gruyter
Year
2018
ISBN
9783110587265, 9783110586992
DOI
10.1515/9783110587265
Language
english
Format
EPUB
Filesize
70 MB (73330948 bytes)
Pages
413\0
Library
degruyter.com
Time added
2023-07-24 17:18:47

Description

This two-volume work presents state-of-the-art mathematical theories and results on infinite-dimensional dynamical systems. Inertial manifolds, approximate inertial manifolds, discrete attractors and the dynamics of small dissipation are discussed in detail. The unique combination of mathematical rigor and physical background makes this work an essential reference for researchers and graduate students in applied mathematics and physics. The main emphasis in the fi rst volume is on the existence and properties for attractors and inertial manifolds. This volume highlights the use of modern analytical tools and methods such as the geometric measure method, center manifold theory in infinite dimensions, the Melnihov method, spectral analysis and so on for infinite-dimensional dynamical systems. The second volume includes the properties of global attractors, the calculation of discrete attractors, structures of small dissipative dynamical systems, and the existence and stability of solitary waves. 　 ContentsDiscrete attractor and approximate calculation Some properties of global attractor Structures of small dissipative dynamical systems Existence and stability of solitary waves Presents classical and modern results on infinite-dimensional dynamical systems. Covers attractors, (approximate) inertial manifolds, small dissipation, etc. Of interest to researchers and graduate students in applied mathematics and physics.

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