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Multiple-Time-Scale Dynamical Systems

Jezik AngleščinaAngleščina
Knjiga Mehka
Knjiga Multiple-Time-Scale Dynamical Systems Christopher K.R.T. Jones
Koda Libristo: 02174452
Založba Springer-Verlag New York Inc., september 2012
Systems with sub-processes evolving on many different time scales are ubiquitous in applications: ch... Celoten opis
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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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O knjigi

Polni naslov Multiple-Time-Scale Dynamical Systems
Jezik Angleščina
Vezava Knjiga - Mehka
Datum izida 2012
Število strani 273
EAN 9781461265290
ISBN 1461265290
Koda Libristo 02174452
Teža 444
Mere 155 x 15 x 17
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