
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
Dynamical Systemsby Jose A. Tenreiro Machado (ed.) - MDPI AG
Complex systems are studied in many areas of natural sciences, social sciences, engineering and mathematics. This volume intends to contribute towards the dissemination of the multifaceted concepts in accepted use by the scientific community.
(8384 views)
Perturbation Theory of Dynamical Systemsby Nils Berglund - arXiv
These are lecture notes for undergraduate Mathematics and Physics students. They cover a few selected topics from perturbation theory at an introductory level: Bifurcations and Unfolding; Regular Perturbation Theory; Singular Perturbation Theory.
(8225 views)
Complex Dynamics and Renormalizationby Curtis T. McMullen - Princeton University Press
Addressing researchers and graduate students in the active meeting ground of analysis, geometry, and dynamics, this book presents a study of renormalization of quadratic polynomials and a rapid introduction to techniques in complex dynamics.
(10573 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).
(10830 views)