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

 
9781461265290: Multiple-Time-Scale Dynamical Systems: 122 (The IMA Volumes in Mathematics and its Applications)
Softcover
ISBN 10: 1461265290 ISBN 13: 9781461265290
Verlag: Springer, 2012

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
2012
Sprache
Englisch
ISBN 10 
1461265290
ISBN 13 
9781461265290
Einband
Tapa blanda
Anzahl der Seiten
288
Herausgeber
Jones Christopher K.R.T., Khibnik Alexander I.
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
CMN Printpool Inh. Mathis Neumann
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Hamburg
Deutschland

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9780387951263: Multiple-Time-Scale Dynamical Systems: 122 (The IMA Volumes in Mathematics and its Applications)

Vorgestellte Ausgabe

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