Attractors and Methods

1. Auflage 2018
ISBN: 978-3-11-058699-2
Verlag: De Gruyter

Buch, Englisch, Band Volume 2, 405 Seiten, Format (B × H): 175 mm x 246 mm, Gewicht: 878 g

Reihe: Infinite-Dimensional Dynamical Systems

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

Zielgruppe

Researchers and graduate students in mathematics and physics.

Autoren/Hrsg.

Guo, Boling

Yang, Hui

Ling, Liming

Ma, Yansheng

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik

Inhaltsverzeichnis

Table of contents
Chapter 1 The Attractor and Its Estimation of Dimension
Chapter 2 Inertial Manifold
Chapter 3 The Approximate Inertial Manifold
Chapter 4 Discrete Attractor and Approximate Calculation
Chapter 5 Some Properties of Global Attractor
Chapter 6 The dynamics with small dissipation
Chapter 7 Existence and Stability of Solitary Waves
Chapter 8 Numerical computation method for some nonlinear evolution equations
References

Über Autor(innen)

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.