Systems with sub-processes evolving on many different time scales are ubiquitousin applications chemical reactions, electro-optical and neuro-biologicalsystems, to name just a few. This volume contains papers that expose thestate of the art in mathematical techniques for analyzing such systems.Recently developed geometric ideas are highlighted in this work that includesa theory of relaxation-oscillation phenomena in higher dimensional phasespaces. Subtle exponentially small effects result from singular perturbationsimplicit in certain multiple time scale systems. Their role in the slowmotion of fronts, bifurcations, and jumping between invariant tori areall explored here. Neurobiology has played a particularly stimulating rolein the development of these techniques and one paper is directed specificallyat applying geometric singular perturbation theory to reveal the synchronyin networks of neural oscillators. Quelle:
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