Local Lyapunov Exponents: Sublimiting Growth Rates of Linear Random Differential Equations (Lecture Notes in Mathematics) | 
 enlarge | Author: Wolfgang Siegert
Publisher: Springer
Category: Book
List Price: $59.95
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Media: Paperback
Edition: 1
Pages: 262
Number Of Items: 1
Shipping Weight (lbs): 0.9
Dimensions (in): 9.3 x 6.1 x 0.7
ISBN: 3540859632
Dewey Decimal Number: 519
EAN: 9783540859635
Publication Date: December 3, 2008
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Product Description
Establishing a new concept of local Lyapunov exponents the author brings together two separate theories, namely Lyapunov exponents and the theory of large deviations. Specifically, a linear differential system is considered which is controlled by a stochastic process that during a suitable noise-intensity-dependent time is trapped near one of its so-called metastable states. The local Lyapunov exponent is then introduced as the exponential growth rate of the linear system on this time scale. Unlike classical Lyapunov exponents, which involve a limit as time increases to infinity in a fixed system, here the system itself changes as the noise intensity converges, too.
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