Infinite-dimensional dynamical systems
โ Scribed by Roger Temam
- Book ID
- 127429071
- Publisher
- Springer
- Year
- 1997
- Tongue
- English
- Weight
- 6 MB
- Series
- Applied Mathematical Sciences
- Edition
- 1
- Category
- Library
- ISBN
- 0387966382
No coin nor oath required. For personal study only.
โฆ Synopsis
This book is the first attempt for a systematic study of infinite dimensional dynamical systems generated by dissipative evolution partial differential equations arising in mechanics and physics, along with other areas of science and technology. A synthetic view of the relation between infinite and finite dimensional systems is presented. Equations considered include reaction-diffusion, Navier-Stokes and other fluid mechanics equations, magnetohydrodynamics, thermohydraulics, pattern formation, Ginzburg-Landau and damped wave. The last chapter of the book introduces inertial manifolds, a subject of rapid development.
๐ SIMILAR VOLUMES
Synchronisation of delay dynamical systems exhibiting hyperchaotic behaviour with multiple positive Lyapunov exponents is described[ The linear synchronisation via the di}erence between the variables of the drive and the response systems and the synchronisation employing the drive variable in the no
## Abstract This paper is devoted to the problem of chaotic behaviour of infiniteโdimensional dynamical systems. We give a survey of different approaches to study of chaotic behaviour of dynamical systems. We mainly discuss the ergodicโtheoretical approach to chaos which bases on the existence of i