Infinite-dimensional Dynamical Systems: Attractor and Methods (2) - Couverture rigide

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

Couverture rigide

ISBN 10 : 3110586991 ISBN 13 : 9783110586992

Editeur : De Gruyter, 2018

Synopsis

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.

Contents
Discrete attractor and approximate calculation
Some properties of global attractor
Structures of small dissipative dynamical systems
Existence and stability of solitary waves

A propos du livre

À propos de l?auteur

B. Guo, Inst. of Appl. Phys. & Comp. Math.; L. Ling, South China U. of Tech.; Y. Ma, Northeast Normal U.; H. Yang, Yunnan Normal U.

Détails de l'édition

• Éditeur: De Gruyter
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 3110586991
• ISBN 13: 9783110586992
• Reliure: Relié
• Nombre de pages: 413
• Coordonnées du fabricant: productsafety@degruyterbrill.com; productsafety@degruyterbrill.com; ; Theaterstraße 13; Göttingen; 37073; Allemagne