**Singularities of Transition Processes in Dynamical Systems**

by Alexander N. Gorban

**Publisher**: American Mathematical Society 2004**Number of pages**: 55

**Description**:

This monograph presents a systematic analysis of the singularities in the transition processes for dynamical systems. We study general dynamical systems, with dependence on a parameter, and construct relaxation times that depend on three variables: Initial conditions, parameters of the system, and accuracy of the relaxation.

Download or read it online for free here:

**Download link**

(760KB, PDF)

## Similar books

**Perturbation Theory of Dynamical Systems**

by

**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.

(

**3449**views)

**Introduction to the Theory of Infinite-Dimensional Dissipative Systems**

by

**Constantin I. Chueshov**-

**ACTA**

An introduction to infinite-dimensional dissipative dynamical systems. The book outlines a variety of tools applied in the study of nonlinear dynamical distributed systems. The results have applications to many areas of physics and engineering.

(

**7722**views)

**Valuations and Hyperbolicity in Dynamics**

by

**Thomas Ward**-

**University of East Anglia**

These notes describe several situations in dynamics where the notion of valuations on rings provides a simple language in which to describe and exploit hyperbolicity. This approach goes a little beyond simply providing a convenient language.

(

**5550**views)

**Dynamics, Ergodic Theory, and Geometry**

by

**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.

(

**11462**views)