Global Attractors of Non-autonomous Dissipative Dynamical Systems
Title | Global Attractors of Non-autonomous Dissipative Dynamical Systems PDF eBook |
Author | David N. Cheban |
Publisher | World Scientific |
Pages | 524 |
Release | 2004 |
Genre | Mathematics |
ISBN | 9812563083 |
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.
Global Attractors Of Nonautonomous Dissipative Dynamical Systems
Title | Global Attractors Of Nonautonomous Dissipative Dynamical Systems PDF eBook |
Author | David N Cheban |
Publisher | World Scientific |
Pages | 524 |
Release | 2004-11-29 |
Genre | Mathematics |
ISBN | 9814481866 |
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.
Global Attractors Of Non-autonomous Dynamical And Control Systems (2nd Edition)
Title | Global Attractors Of Non-autonomous Dynamical And Control Systems (2nd Edition) PDF eBook |
Author | David N Cheban |
Publisher | World Scientific |
Pages | 616 |
Release | 2014-12-15 |
Genre | Mathematics |
ISBN | 9814619841 |
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.The new Chapters 15-17 added to this edition include some results concerning Control Dynamical Systems — the global attractors, asymptotic stability of switched systems, absolute asymptotic stability of differential/difference equations and inclusions — published in the works of author in recent years.
Global Attractors of Non-autonomous Dissipative Dynamical Systems
Title | Global Attractors of Non-autonomous Dissipative Dynamical Systems PDF eBook |
Author | David N. Cheban |
Publisher | World Scientific |
Pages | 524 |
Release | 2004 |
Genre | Mathematics |
ISBN | 9812560289 |
- The book is intended to the experts in qualitative theory of differential equations, dynamical systems and their applications
Nonautonomous Dynamical Systems
Title | Nonautonomous Dynamical Systems PDF eBook |
Author | Peter E. Kloeden |
Publisher | American Mathematical Soc. |
Pages | 274 |
Release | 2011-08-17 |
Genre | Mathematics |
ISBN | 0821868713 |
The theory of nonautonomous dynamical systems in both of its formulations as processes and skew product flows is developed systematically in this book. The focus is on dissipative systems and nonautonomous attractors, in particular the recently introduced concept of pullback attractors. Linearization theory, invariant manifolds, Lyapunov functions, Morse decompositions and bifurcations for nonautonomous systems and set-valued generalizations are also considered as well as applications to numerical approximations, switching systems and synchronization. Parallels with corresponding theories of control and random dynamical systems are briefly sketched. With its clear and systematic exposition, many examples and exercises, as well as its interesting applications, this book can serve as a text at the beginning graduate level. It is also useful for those who wish to begin their own independent research in this rapidly developing area.
Monotone Nonautonomous Dynamical Systems
Title | Monotone Nonautonomous Dynamical Systems PDF eBook |
Author | David N. Cheban |
Publisher | Springer Nature |
Pages | 475 |
Release | |
Genre | |
ISBN | 3031600576 |
Attractors for infinite-dimensional non-autonomous dynamical systems
Title | Attractors for infinite-dimensional non-autonomous dynamical systems PDF eBook |
Author | Alexandre Carvalho |
Publisher | Springer Science & Business Media |
Pages | 434 |
Release | 2012-09-25 |
Genre | Mathematics |
ISBN | 1461445817 |
The book treats the theory of attractors for non-autonomous dynamical systems. The aim of the book is to give a coherent account of the current state of the theory, using the framework of processes to impose the minimum of restrictions on the nature of the non-autonomous dependence. The book is intended as an up-to-date summary of the field, but much of it will be accessible to beginning graduate students. Clear indications will be given as to which material is fundamental and which is more advanced, so that those new to the area can quickly obtain an overview, while those already involved can pursue the topics we cover more deeply.