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Titlebook: Multiple-Time-Scale Dynamical Systems; Christopher K. R. T. Jones,Alexander I. Khibnik Conference proceedings 2001 Springer-Verlag New Yor

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書目名稱Multiple-Time-Scale Dynamical Systems
編輯Christopher K. R. T. Jones,Alexander I. Khibnik
視頻videohttp://file.papertrans.cn/642/641065/641065.mp4
叢書名稱The IMA Volumes in Mathematics and its Applications
圖書封面Titlebook: Multiple-Time-Scale Dynamical Systems;  Christopher K. R. T. Jones,Alexander I. Khibnik Conference proceedings 2001 Springer-Verlag New Yor
描述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.
出版日期Conference proceedings 2001
關(guān)鍵詞Volume; bifurcation; dynamical systems; dynamics; hamiltonian system
版次1
doihttps://doi.org/10.1007/978-1-4613-0117-2
isbn_softcover978-1-4612-6529-0
isbn_ebook978-1-4613-0117-2Series ISSN 0940-6573 Series E-ISSN 2198-3224
issn_series 0940-6573
copyrightSpringer-Verlag New York, Inc. 2001
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Multiple-Time-Scale Dynamical Systems978-1-4613-0117-2Series ISSN 0940-6573 Series E-ISSN 2198-3224
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0940-6573 g 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.978-1-4612-6529-0978-1-4613-0117-2Series ISSN 0940-6573 Series E-ISSN 2198-3224
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Conference proceedings 2001 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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