TY  - BOOK
AU  - 
ED  - SpringerLink (Online service)
TI  - Local Lyapunov Exponents: Sublimiting Growth Rates of Linear Random Differential Equations 
T2  - Lecture Notes in Mathematics,
SN  - 9783540859642
AV  - QA313 
U1  - 515.39 23
PY  - 2009///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Differentiable dynamical systems
KW  - Global analysis
KW  - Differential Equations
KW  - Differential equations, partial
KW  - Genetics
KW  - Dynamical Systems and Ergodic Theory
KW  - Global Analysis and Analysis on Manifolds
KW  - Ordinary Differential Equations
KW  - Partial Differential Equations
KW  - Game Theory, Economics, Social and Behav. Sciences
KW  - Genetics and Population Dynamics
N1  - Linear differential systems with parameter excitation -- Locality and time scales of the underlying non-degenerate stochastic system: Freidlin-Wentzell theory -- Exit probabilities for degenerate systems -- Local Lyapunov exponents; ZDB-2-SMA; ZDB-2-LNM
N2  - 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
UR  - http://dx.doi.org/10.1007/978-3-540-85964-2
ER  -