Monatshefte für Mathematik

, Volume 94, Issue 4, pp 313–333

Stochastic stability in some chaotic dynamical systems

  • Gerhard Keller

DOI: 10.1007/BF01667385

Cite this article as:
Keller, G. Monatshefte für Mathematik (1982) 94: 313. doi:10.1007/BF01667385


For a certain class of piecewise monotonic transformations it is shown using a spectral decomposition of the Perron-Frobenius-operator ofT that invariant measures depend continuously on 3 types of perturbations: 1) deterministic perturbations, 2) stochastic perturbations, 3) randomly occuring deterministic perturbations. The topology on the space of perturbed transformations is derived from a metric on the space of Perron-Frobenius-operators.

Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • Gerhard Keller
    • 1
  1. 1.Institut für Angewandte MathematikUniversität HeidelbergHeidelbergGermany