Multiple-Time-Scale Dynamical Systems (Hardcover, 2001 ed.)

Systems with sub-processes evolving on many different time scales are ubiquitous in applications: chemical reactions, electro-optical and neuro-biological systems, to name just a few. This volume contains papers that expose the state of the art in mathematical techniques for analyzing such systems. Recently developed geometric ideas are highlighted in this work that includes a theory of relaxation-oscillation phenomena in higher dimensional phase spaces. Subtle exponentially small effects result from singular perturbations implicit in certain multiple time scale systems. Their role in the slow motion of fronts, bifurcations, and jumping between invariant tori are all explored here. Neurobiology has played a particularly stimulating role in the development of these techniques and one paper is directed specifically at applying geometric singular perturbation theory to reveal the synchrony in networks of neural oscillators.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	The IMA Volumes in Mathematics and its Applications, 122
Release date:	October 2000
First published:	2001
Editors:	Christopher K.R.T. Jones • Alexander I. Khibnik
Dimensions:	235 x 155 x 21mm (L x W x T)
Format:	Hardcover
Pages:	273
Edition:	2001 ed.
ISBN-13:	978-0-387-95126-3
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Topology > General Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers
LSN:	0-387-95126-1
Barcode:	9780387951263

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