Multiple-Time-Scale Dynamical Systems: 122 (The IMA Volumes in Mathematics and its Applications) - Hardcover

 
9780387951263: Multiple-Time-Scale Dynamical Systems: 122 (The IMA Volumes in Mathematics and its Applications)
Hardcover
ISBN 10: 0387951261 ISBN 13: 9780387951263
Verlag: Springer, 2000

Inhaltsangabe

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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Reseña del editor

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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Verlag
Springer
Erscheinungsdatum
2000
Sprache
Englisch
ISBN 10 
0387951261
ISBN 13 
9780387951263
Einband
Tapa dura
Anzahl der Seiten
292
Herausgeber
Khibnik Alexander I., Jones Christopher K.R.T.
Kontakt zum Hersteller
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Verantwortliche Person
CMN Printpool Inh. Mathis Neumann
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Vorgestellte Ausgabe

ISBN 10:  1461265290 ISBN 13:  9781461265290
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Softcover