
Valuations and Hyperbolicity in Dynamics
by Thomas Ward
Publisher: University of East Anglia 2001
Number of pages: 58
Description:
These notes describe several situations in dynamics where the notion of valuations on rings provides a simple language in which to describe and exploit (analogues of) hyperbolicity. This approach goes a little beyond simply providing a convenient language.
Download or read it online for free here:
Download link
(590KB, PDF)
Similar books
Dynamics, Ergodic Theory, and Geometryby Boris Hasselblatt - Cambridge University Press
This book contains articles 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; etc.
(17998 views)
Dynamical Systems: Analytical and Computational Techniquesby Mahmut Reyhanoglu - InTech
There has been a considerable progress made during the recent past on mathematical techniques for studying dynamical systems. This progress is due to our increasing ability to mathematically model physical processes and to analyze and solve them.
(8573 views)
Around the Boundary of Complex Dynamicsby Roland K. W. Roeder - arXiv
We introduce the exciting field of complex dynamics at an undergraduate level while reviewing, reinforcing, and extending the ideas learned in an typical first course on complex analysis. Julia sets and the famous Mandelbrot set will be introduced...
(8140 views)
Stability Analysis via Matrix Functions Methodby 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).
(10988 views)