ENGLISH

Infinite-Dimensional Dynamical Systems: Attractors and Methods

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

Book information

Publisher
de Gruyter
Year
2018
ISBN
0190868414, 9780190868413
Language
english
Format
PDF
Filesize
4 MB (3966453 bytes)
Pages
405\414
Time added
2020-12-22 02:58:43

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.

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