**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

**Lectures on Topics In One-Parameter Bifurcation Problems**

by

**P. Rabier**-

**Tata Institute of Fundamental Research**

This set of lectures gives a synthetic exposition for the study of one-parameter bifurcation problems. By this, we mean the analysis of the structure of their set of solutions through the same type of general arguments in various situations.

(

**4728**views)

**Computable Integrability**

by

**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.

(

**4719**views)

**Optimization and Dynamical Systems**

by

**U. Helmke, J. B. Moore**-

**Springer**

Aimed at mathematics and engineering graduate students and researchers in the areas of optimization, dynamical systems, control systems, signal processing, and linear algebra. The problems solved are those of linear algebra and linear systems theory.

(

**8787**views)

**Ordinary Differential Equations and Dynamical Systems**

by

**Gerald Teschl**-

**Universitaet Wien**

This book provides an introduction to ordinary differential equations and dynamical systems. We start with some simple examples of explicitly solvable equations. Then we prove the fundamental results concerning the initial value problem.

(

**10870**views)