Dynamics, Ergodic Theory, and Geometry
by Boris Hasselblatt
Publisher: Cambridge University Press 2007
Number of pages: 334
This volume contains surveys and research articles by leading experts in several areas of dynamical systems that have recently experienced substantial progress. Some of the major surveys focus on symplectic geometry; smooth rigidity; hyperbolic, parabolic, and symbolic dynamics; and ergodic theory. Students and researchers in dynamical systems, geometry, and related areas will find this a fascinating look at the state of the art.
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by A. A. Martynyuk - Bookboon
The monograph presents a generalization of the well-known Lyapunov function method and related concepts to the matrix function case within the framework of systematic stability analysis of dynamical systems (differential equations).
by Eric Tesse - arXiv
This article will take up the question of what underlies the quantum formalism, whether it can be derived from simpler mathematical structures, and if so, what physical properties a system must possess in order for the formalism to hold.
by Pierre Arnoux, et al. - Springer
A certain category of infinite strings of letters on a finite alphabet is presented here, chosen among the 'simplest' possible one may build, both because they are very deterministic and because they are built by simple rules.
by Arild Wikan - Bookboon
This book covers important topics like stability, hyperbolicity, bifurcation theory and chaos, topics which are essential to understand the behavior of nonlinear discrete dynamical systems. The theory is illuminated by examples and exercises.