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Multiple-time-scale Dynamical Systems
. Ed(S): Jones, Christopher K.R.T. (Brown University, Providence, Ri, Usa); Khibnik, Alexander I. (United Technologies Research Center, East Hartford
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Description for Multiple-time-scale Dynamical Systems
Hardback. Contains papers that expose the development in mathematical techniques for analyzing systems with sub-processes evolving on many different time scales. Several geometric ideas are highlighted in this work that includes a theory of relaxation-oscillation phenomena in higher dimensional phase spaces. Editor(s): Jones, Christopher K.R.T. (Brown University, Providence, RI, USA); Khibnik, Alexander I. (United Technologies Research Center, East Hartford, CT, USA). Series: The IMA Volumes in Mathematics and its Applications. Num Pages: 284 pages, biography. BIC Classification: PBKJ; PBP; PDE; TBJ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 243 x 164 x 21. Weight in Grams: 560.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2000
Publisher
Springer-Verlag New York Inc. United States
Number of pages
284
Condition
New
Series
The IMA Volumes in Mathematics and its Applications
Number of Pages
273
Place of Publication
New York, NY, United States
ISBN
9780387951263
SKU
V9780387951263
Shipping Time
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Ref
99-15
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