In this paper we wish to study the lifting properties of skew-product flows. These properties are particularly important in the study of non-autonomous ordinary and functional differential equations. For example, the question of the existence of a periodic solution for a differe…
Asymptotic solution behavior and relevant limit equations are studied for a broad class of nonautonomous hereditary equations. These problems are presented on a function space consisting of locally integrable functions defined on semi-axes of the reals, and the operators occurri…
Hyperbolic Flows
by Fisher, Todd, Hasselblatt, Boris
fromZurich Lectures in Advanced Mathematics
"This book provides an introduction to the interplay between linear algebra and dynamical systems in continuous time and in discrete time. It first reviews the autonomous case for one matrix A via induced dynamical systems in Rd and on Grassmannian manifolds. Then the main nonau…
The purpose of this book is to develop the foundations of potential theory and rational dynamics on the Berkovich projective line over an arbitrary complete, algebraically closed non-Archimedean field.