Bücher der Reihe Atlantis Studies in Dynamical Systems

This book is a remarkable contribution to the literature on dynamical systems and geometry. The author is an internationally recognized expert in dynamical systems with a talent to explain topics that is rarely found in the field.

We will shed some light on the dynamics of N point masses that move in spaces of non-zero constant curvature according to an attraction law that naturally extends classical Newtonian gravitation beyond the flat (Euclidean) space.

This book covers normally hyperbolic invariant manifolds and their relation to hyperbolic fixed points and center manifolds, and offers a proof of persistence for noncompact normally hyperbolic invariant manifolds in Riemannian manifolds of bounded geometry.

The aim of this monograph is to present a general method of proving continuity of Lyapunov exponents of linear cocycles. The main assumption required by this method is the availability of appropriate large deviation type estimates for quantities related to the iterates of the base and fiber dynamics associated with the linear cocycle.

This book offers the reader an overview of recent developments of integral equations on time scales. This book is primarily intended for senior undergraduate students and beginning graduate students of engineering and science courses.

Thurston maps are topological generalizations of postcritically-finite rational maps. This book provides a comprehensive study of ergodic theory of expanding Thurston maps, focusing on the measure of maximal entropy, as well as a more general class of invariant measures, called equilibrium states, and certain weak expansion properties of such maps.

To make A -structures in Morse theory accessible to a broader audience, this book provides a coherent and detailed treatment of Abouzaid's approach, including a discussion of all relevant analytic notions and results, requiring only a basic grasp of Morse theory.

To make A -structures in Morse theory accessible to a broader audience, this book provides a coherent and detailed treatment of Abouzaid's approach, including a discussion of all relevant analytic notions and results, requiring only a basic grasp of Morse theory.