Multiple-Time-Scale Dynamical Systems
Contributors: Christopher K.R.T. Jones (Editor); Alexander I. Khibnik (Editor)
Publisher: Springer
Published: October 6, 2000
Language: eng
Number of pages: 259
ISBN-13: 9780387951263
Description: "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 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 is 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."--BOOK JACKET.