by David N Cheban (State University of Moldova, Moldova)

Professor David Cheban is affiliated with the State University of Moldova, and he has been a visiting professor in Germany, Italy, Russia and USA. He is one of the very few top experts on nonautonomous dynamical systems (most other dynamical systems experts work on autonomous systems).
 

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.

• 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 ∀-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