Multiple-Time-Scale Dynamical Systems (The IMA Volumes in Mathematics and its Applications)

Jones, Christopher K.R.T. (Editor) / Khibnik, Alexander I. (Editor)

ISBN 10: 1461265290 / ISBN 13: 9781461265290

Published by Springer, 2013

About this Item

284 pages. 8.43x5.85x0.73 inches. In Stock.

Seller Inventory # x-1461265290

Bibliographic Details

• Title: Multiple-Time-Scale Dynamical Systems (The IMA Volumes in Mathematics and its Applications)
• Publisher: Springer
• Publication Date: 2013
• Language: English
• ISBN 10: 1461265290
• ISBN 13: 9781461265290
• Binding: Paperback
• Condition: Brand New

About this title

Synopsis

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.