| 书目名称 | Multiple-Time-Scale Dynamical Systems |
| 编辑 | Christopher K. R. T. Jones,Alexander I. Khibnik |
| 视频video | |
| 丛书名称 | The IMA Volumes in Mathematics and its Applications |
| 图书封面 |  |
| 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 |
| 关键词 | Volume; bifurcation; dynamical systems; dynamics; hamiltonian system |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4613-0117-2 |
| isbn_softcover | 978-1-4612-6529-0 |
| isbn_ebook | 978-1-4613-0117-2Series ISSN 0940-6573 Series E-ISSN 2198-3224 |
| issn_series | 0940-6573 |
| copyright | Springer-Verlag New York, Inc. 2001 |
发表于 2025-3-21 16:33:44
