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
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.
(12869 views)
Valuations and Hyperbolicity in Dynamicsby 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.
(9072 views)
Data Assimilation: A Mathematical Introductionby K.J.H. Law, A.M. Stuart, K.C. Zygalakis - arXiv.org
This book provides a systematic treatment of the mathematical underpinnings of work in data assimilation. Authors develop a framework in which a Bayesian formulation of the problem provides the bedrock for the derivation and analysis of algorithms.
(5903 views)
The Hopf Bifurcation and Its Applicationsby J. E. Marsden, M. McCracken - 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.
(14018 views)