
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
An Introduction to Quantum Chaosby Mason A. Porter - arXiv
Nonlinear dynamics (''chaos theory'') and quantum mechanics are two of the scientific triumphs of the 20th century. The author gives a brief review of the origin and fundamentals of both quantum mechanics and nonlinear dynamics.
(15226 views)
Local Theory of Holomorphic Foliations and Vector Fieldsby Julio C. Rebelo, Helena Reis - 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.
(11828 views)
Introduction to Dynamical Systems: A Hands-on Approach with Maximaby Jaime E. Villate
In this book we explore some topics on dynamical systems, using an active teaching approach, supported by computing tools. The subject of this book on dynamical systems is at the borderline of physics, mathematics and computing.
(12990 views)
Computable Integrabilityby Alexey Shabat, Elena Kartashova - arXiv
A preliminary version of the textbook on integrable systems. Contents: General notions and ideas; Riccati equation; Factorization of linear operators; Commutativity of linear operators; Integrability of non-linear PDEs; Burgers-type equations.
(12066 views)