This book 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.
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
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.
