Multiple-Time-Scale Dynamical Systems

Alexander I. Khibnik (u. a.)

ISBN 10: 0387951261 / ISBN 13: 9780387951263

Published by Springer US, 2000

About this Item

Multiple-Time-Scale Dynamical Systems | Alexander I. Khibnik (u. a.) | Buch | xi | Englisch | 2000 | Springer US | EAN 9780387951263 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand.

Seller Inventory # 105615245

Bibliographic Details

• Title: Multiple-Time-Scale Dynamical Systems
• Publisher: Springer US
• Publication Date: 2000
• Language: English
• ISBN 10: 0387951261
• ISBN 13: 9780387951263
• Binding: Buch
• Condition: Neu
• Dimensions: 241W x 160H x 21D millimeters 241 millimeters width by 160 millimeters height by 21 millimeters depth
• Weight: 606 grams
• Seller catalogs:
  • Bücher

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.