TitleLyapunov Exponents [electronic resource] : Proceedings of a Conference held in Oberwolfach, May 28 - June 2, 1990 / edited by Ludwig Arnold, Hans Crauel, Jean-Pierre Eckmann
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1991
Connect tohttp://dx.doi.org/10.1007/BFb0086653
Descript VIII, 368 p. online resource

CONTENT

Random dynamical systems -- Lyapunov exponents and asymptotic behaviour of the product of random matrices -- Lyapunov exponents of random dynamical systems on grassmannians -- Eigenvalue representation for the Lyapunov exponents of certain Markov processes -- Analytic dependence of Lyapunov exponents on transition probabilities -- A second order extension of Oseledets theorem -- The upper Lyapunov exponent of Sl(2,R) cocycles: Discontinuity and the problem of positivity -- Linear skew-product flows and semigroups of weighted composition operators -- Filtre de Kalman Bucy et exposants de Lyapounov -- Invariant measures for nonlinear stochastic differential equations -- How to construct stochastic center manifolds on the level of vector fields -- Additive noise turns a hyperbolic fixed point into a stationary solution -- Lyapunov functions and almost sure exponential stability -- Large deviations for random expanding maps -- Multiplicative ergodic theorems in infinite dimensions -- Stochastic flow and lyapunov exponents for abstract stochastic PDEs of parabolic type -- The Lyapunov exponent for products of infinite-dimensional random matrices -- Lyapunov exponents and complexity for interval maps -- An inequality for the Ljapunov exponent of an ergodic invariant measure for a piecewise monotonic map of the interval -- Gรฉnรฉralisation du thรฉorรจme de Pesin pour l'?-entropie -- Systems of classical interacting particles with nonvanishing Lyapunov exponents -- Lyapunov exponents from time series -- Lyapunov exponents in stochastic structural dynamics -- Stochastic approach to small disturbance stability in power systems -- Lyapunov exponents and invariant measures of equilibria and limit cycles -- Sample stability of multi-degree-of-freedom systems -- Lyapunov exponents of control flows


SUBJECT

  1. Mathematics
  2. Mathematical analysis
  3. Analysis (Mathematics)
  4. System theory
  5. Calculus of variations
  6. Probabilities
  7. Physics
  8. Applied mathematics
  9. Engineering mathematics
  10. Mathematics
  11. Probability Theory and Stochastic Processes
  12. Analysis
  13. Appl.Mathematics/Computational Methods of Engineering
  14. Theoretical
  15. Mathematical and Computational Physics
  16. Systems Theory
  17. Control
  18. Calculus of Variations and Optimal Control; Optimization