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 intere...
In this paperwe study a non-autonomous lattice dynamical system with delay. Under rather general gro...
Invariant manifolds as pullback attractors of nonautonomous differential equations / M. Rasmussen, B...
This work is divided in two parts. In the first part we develop the theory of discrete nonautonomous...
Abstract These notes present and discuss various aspects of the recent the-ory for time-dependent di...
This book emphasizes those topological methods (of dynamical systems) and theories that are useful i...
Although the bifurcation theory of equations with autonomous and periodic time dependence is a major...
We review the recent notion of a nonautonomous dynamical system (NDS), which has been introduced as ...
There is a vast body of literature devoted to the study of bifurcation phenomena in autonomous syste...
Nonautonomous dynamics describes the qualitative behavior of evolutionary differential and differenc...
(Communicated by Aim Sciences) Converse Lyapunov theorems are presented for nonautonomous sy-stems m...
In this paper we present an abstract approach to inertial manifolds for nonau-tonomous dynamical sys...
Nonautonomous dynamical systems provide a mathematical framework for temporally changing phenomena, ...
(Communicated by Michael Dellnitz) Abstract. This paper is devoted to the numerical approximation of...
Abstract. The synchronization of two nonautonomous dynamical systems is considered, where the system...
Approximation of attractors of nonautonomous dynamical systems / M. Rasmussen, B. Aulbach, S. Siegmu...
In this paperwe study a non-autonomous lattice dynamical system with delay. Under rather general gro...
Invariant manifolds as pullback attractors of nonautonomous differential equations / M. Rasmussen, B...
This work is divided in two parts. In the first part we develop the theory of discrete nonautonomous...
Abstract These notes present and discuss various aspects of the recent the-ory for time-dependent di...
This book emphasizes those topological methods (of dynamical systems) and theories that are useful i...
Although the bifurcation theory of equations with autonomous and periodic time dependence is a major...
We review the recent notion of a nonautonomous dynamical system (NDS), which has been introduced as ...
There is a vast body of literature devoted to the study of bifurcation phenomena in autonomous syste...
Nonautonomous dynamics describes the qualitative behavior of evolutionary differential and differenc...
(Communicated by Aim Sciences) Converse Lyapunov theorems are presented for nonautonomous sy-stems m...
In this paper we present an abstract approach to inertial manifolds for nonau-tonomous dynamical sys...
Nonautonomous dynamical systems provide a mathematical framework for temporally changing phenomena, ...
(Communicated by Michael Dellnitz) Abstract. This paper is devoted to the numerical approximation of...
Abstract. The synchronization of two nonautonomous dynamical systems is considered, where the system...
Approximation of attractors of nonautonomous dynamical systems / M. Rasmussen, B. Aulbach, S. Siegmu...
In this paperwe study a non-autonomous lattice dynamical system with delay. Under rather general gro...
Invariant manifolds as pullback attractors of nonautonomous differential equations / M. Rasmussen, B...
This work is divided in two parts. In the first part we develop the theory of discrete nonautonomous...