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Lyapunov Exponents [electronic resource] : Proceedings of a Workshop held in Bremen, November 12–15, 1984 / edited by Ludwig Arnold, Volker Wihstutz.

Contributor(s): Material type: TextTextSeries: Lecture Notes in Mathematics ; 1186Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1986Description: VI, 378 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540397953
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 519.5 23
LOC classification:
  • QA276-280
Online resources:
Contents:
Lyapunov exponents: A survey -- Oscillation des produits de matrices aleatoires dont l'exposant de lyapounov est nul -- Unique ergodicity and random matrix products -- Positivity of the exponent for stationary sequences of matrices -- Characteristic exponents for random homeomorphisms of metric spaces -- Lyapunov exponents of linear stochastic systems -- Addendum a note on transitivity of coupled control systems -- Almost sure and moment stability for linear ito equations -- Almost sure instability of a class of linear stochastic systems with jump process coefficients -- On a generalization of the Lyapunov exponent of a second order linear stochastic differential equation -- Parameter dependence of the Lyapunov exponent for linear stochastic systems. A survey -- An example concerning the geometric significance of the rotation number — integrated density of states -- Lyapunov exponents for schrödinger operators with random, but deterministic potentials -- Lyapunov exponents and one-dimensional alloys -- Resonance states in disordered systems -- The Lyapounov index, the density of states and their regularity for general stochastic potentials -- Computations of the sum of positive Lyapunov exponents for the Lloyd model in a strip -- Statistics of reflected pulses -- Lyapunov exponents and invariant measures of stochastic systems on manifolds -- Survey: Lyapunov exponents for stochastic flows on manifolds -- Bounds for average Lyapunov exponents of gradient stochastic systems -- The Lyapunov spectrum of a stochastic flow of diffeomorphisms -- Lyapunov exponents and phase transitions in dynamical systems -- Coupling sensitivity and cliff in chaotic dynamics.
In: Springer eBooks
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Lyapunov exponents: A survey -- Oscillation des produits de matrices aleatoires dont l'exposant de lyapounov est nul -- Unique ergodicity and random matrix products -- Positivity of the exponent for stationary sequences of matrices -- Characteristic exponents for random homeomorphisms of metric spaces -- Lyapunov exponents of linear stochastic systems -- Addendum a note on transitivity of coupled control systems -- Almost sure and moment stability for linear ito equations -- Almost sure instability of a class of linear stochastic systems with jump process coefficients -- On a generalization of the Lyapunov exponent of a second order linear stochastic differential equation -- Parameter dependence of the Lyapunov exponent for linear stochastic systems. A survey -- An example concerning the geometric significance of the rotation number — integrated density of states -- Lyapunov exponents for schrödinger operators with random, but deterministic potentials -- Lyapunov exponents and one-dimensional alloys -- Resonance states in disordered systems -- The Lyapounov index, the density of states and their regularity for general stochastic potentials -- Computations of the sum of positive Lyapunov exponents for the Lloyd model in a strip -- Statistics of reflected pulses -- Lyapunov exponents and invariant measures of stochastic systems on manifolds -- Survey: Lyapunov exponents for stochastic flows on manifolds -- Bounds for average Lyapunov exponents of gradient stochastic systems -- The Lyapunov spectrum of a stochastic flow of diffeomorphisms -- Lyapunov exponents and phase transitions in dynamical systems -- Coupling sensitivity and cliff in chaotic dynamics.

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