Description: Multiple-Time-Scale Dynamical Systems, Paperback by Jones, Christopher K. R. T. (EDT); Khibnik, Alexander I. (EDT), ISBN 1461265290, ISBN-13 9781461265290, Like New Used, Free shipping in the US 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.
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Book Title: Multiple-Time-Scale Dynamical Systems
Number of Pages: Xi, 273 Pages
Language: English
Publication Name: Multiple-Time-Scale Dynamical Systems
Publisher: Springer New York
Publication Year: 2012
Subject: Geometry / General, Topology, Mathematical Analysis
Type: Textbook
Item Weight: 15.7 Oz
Item Length: 9.3 in
Author: Alexander I. Khibnik
Subject Area: Mathematics
Series: The Ima Volumes in Mathematics and Its Applications Ser.
Item Width: 6.1 in
Format: Trade Paperback
