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Two-scale Stochastic Systems
Kabanov, Yuri; Pergamenshchikov, Sergei
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Description for Two-scale Stochastic Systems
Hardback. This monograph develops subjects which could be unified under the title "Stochastic Tikhonov-Levinson theory and its applications." The emphasis is on systems where the fast variables converge uniformly outside the boundary layer. Uniform expansions and large deviations are investigated in detail. Series: Stochastic Modelling and Applied Probability. Num Pages: 280 pages, biography. BIC Classification: PBWL. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 17. Weight in Grams: 576.
In many complex systems one can distinguish "fast" and "slow" processes with radically di?erent velocities. In mathematical models based on di?er- tialequations,suchtwo-scalesystemscanbedescribedbyintroducingexpl- itly a small parameter?on the left-hand side ofstate equationsfor the "fast" variables,and these equationsare referredto assingularly perturbed. Surpr- ingly, this kind of equation attracted attention relatively recently (the idea of distinguishing "fast" and "slow" movements is, apparently, much older). Robert O'Malley, in comments to his book, attributes the originof the whole historyofsingularperturbationsto the celebratedpaperofPrandtl[79]. This was an extremely short note, the text of his talk at the Third International Mathematical Congress in 1904: the young author believed that ... Read more
In many complex systems one can distinguish "fast" and "slow" processes with radically di?erent velocities. In mathematical models based on di?er- tialequations,suchtwo-scalesystemscanbedescribedbyintroducingexpl- itly a small parameter?on the left-hand side ofstate equationsfor the "fast" variables,and these equationsare referredto assingularly perturbed. Surpr- ingly, this kind of equation attracted attention relatively recently (the idea of distinguishing "fast" and "slow" movements is, apparently, much older). Robert O'Malley, in comments to his book, attributes the originof the whole historyofsingularperturbationsto the celebratedpaperofPrandtl[79]. This was an extremely short note, the text of his talk at the Third International Mathematical Congress in 1904: the young author believed that ... Read more
Product Details
Format
Hardback
Publication date
2002
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
280
Condition
New
Series
Stochastic Modelling and Applied Probability
Number of Pages
266
Place of Publication
Berlin, Germany
ISBN
9783540653325
SKU
V9783540653325
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Two-scale Stochastic Systems
From the reviews: "The book presents Tikhonov theorems for stochastic systems with two time scales when a parameter decreases to zero. … The topic of the book is relevant for the research areas of stochastics and of control and system theory. … The strength of the book is in the analysis of Tikhonov theorems … ... Read more