Attractors and Methods

Boling Guo, Liming Ling, Yansheng Ma, Hui Yang

ISBN 10: 3110586991 / ISBN 13: 9783110586992

Published by De Gruyter, DE, 2018

About this Item

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.

Seller Inventory # LU-9783110586992

Bibliographic Details

• Title: Attractors and Methods
• Publisher: De Gruyter, DE
• Publication Date: 2018
• Language: English
• ISBN 10: 3110586991
• ISBN 13: 9783110586992
• Binding: Hardback
• Edition: 1st.
• Condition: New
• Dimensions: 6.69W x 0.94H x 9.61D inches 6.69 inches width by 0.94 inches height by 9.61 inches depth
• Weight: 901 grams

About this title

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

About the Author

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.