Logo

Valuations and Hyperbolicity in Dynamics

Small book cover: Valuations and Hyperbolicity in Dynamics

Valuations and Hyperbolicity in Dynamics
by

Publisher: University of East Anglia
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.

Home page url

Download or read it online for free here:
Download link
(590KB, PDF)

Similar books

Book cover: Dynamical Systems and ChaosDynamical Systems and Chaos
by
Class notes for an introductory course on dynamical systems and chaos for mathematicians, physicists, and engineers. The text concentrates on models rather than proofs in order to bring out the concepts of dynamics and chaos.
(10682 views)
Book cover: The Hopf Bifurcation and Its ApplicationsThe Hopf Bifurcation and Its Applications
by - Springer
The goal of these notes is to give a reasonably complete, although not exhaustive, discussion of what is commonly referred to as the Hopf bifurcation with applications to specific problems, including stability calculations.
(9264 views)
Book cover: Local Theory of Holomorphic Foliations and Vector FieldsLocal Theory of Holomorphic Foliations and Vector Fields
by - arXiv
Informal lecture notes intended for graduate students about the standard local theory of holomorphic foliations and vector fields. Though the material presented here is well-known some of the proofs differ slightly from the classical arguments.
(5500 views)
Book cover: Monotone Dynamical SystemsMonotone Dynamical Systems
by
From the table of contents: Introduction; Strongly Order-Preserving Semiflows; Generic Convergence and Stability; Ordinary Differential Equations; Delay Differential Equations; Monotone Maps; Semilinear Parabolic Equations.
(6663 views)