Multiple-time-scale dynamical systems

the long version

"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.