Interdisciplinary Mathematical Sciences - Vol. 1
GLOBAL ATTRACTORS OF NON-AUTONOMOUS DISSIPATIVE DYNAMICAL SYSTEMS
by David N Cheban (State University of Moldova, Moldova)
The study of attractors of dynamical systems occupies an important position in the modern qualitative theory of differential equations. This engaging volume presents an authoritative overview of both autonomous and non-autonomous dynamical systems, including the global compact attractor. From an in-depth introduction to the different types of dissipativity and attraction, the book takes a comprehensive look at the connections between them, and critically discusses applications of general results to different classes of differential equations. Intended for experts in qualitative theory of differential equations, dynamical systems and their applications, this accessible book can also serve as an important resource for senior students and lecturers.
Contents:
- Autonomous Dynamical Systems
- Non-Autonomous Dissipative Dynamical
Systems
- Analytic Dissipative Systems
- The Structure of the Levinson Centre of System with the Condition of the Hyperbolicity
- Method of Lyapunov Functions
- Dissipativity of Some Classes of Equations
- Upper Semi-Continuity of Attractors
- The Relationship between Pullback, Forward and Global Attractors
- Pullback Attractors of ℂ–Analytic Systems
- Pullback Attractors Under Discretization
- Global Attractors of Non-Autonomous Navier–Stokes Equations
- Global Attractors of V-Monotone Dynamical Systems
- Linear Almost Periodic Dynamical Systems
- Triangular Maps.
Readership: Researchers, academics/lecturers, graduate students and
post-graduate students in dynamical systems and their applications.
“The author, a noted specialist in the area, develops, with many examples and applications, these new concepts and results, which are now receiving the attention of an increasing number of researchers. In the book the pullback attractor tool plays an important role. Thus the book will serve as a good reference for specialists in this subject.”
| 528pp |
Pub. date: Dec 2004 |
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