Christopher K.R.T. Jones - Böcker
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3 produkter
3 produkter
Del 122 - IMA Volumes in Mathematics and its Applications
Multiple-Time-Scale Dynamical Systems
Inbunden, Engelska, 2000
1 590 kr
Skickas inom 10-15 vardagar
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.
Del 122 - IMA Volumes in Mathematics and its Applications
Multiple-Time-Scale Dynamical Systems
Häftad, Engelska, 2012
1 577 kr
Skickas inom 10-15 vardagar
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.
Del 1609 - Lecture Notes in Mathematics
Dynamical Systems
Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini Terme, Italy, June 13 - 22, 1994
Häftad, Engelska, 1995
433 kr
Skickas inom 10-15 vardagar
This volume contains the lecture notes written by the four principal speakers at the CIME session on Dynamical Systems held at Montecatini, Italy in June 1994. The goal of the session was to illustrate how methods of dynamical systems can be applied to the study of ordinary and partial differential equations. Topics in random differential equations, singular perturbations, the Conley index theory and non-linear PDEs were discussed. Readers interested in asymptotic behaviour of solutions of ODEs and PDEs who are familiar with basic notions of dynamical systems should find this text useful.