Stochastic stability in some chaotic dynamical systems

Keller G (1982)

Publication Type: Journal article, Original article

Publication year: 1982

Journal

Monatshefte für Mathematik Springer Verlag (Germany)

Publisher: Springer Verlag (Germany)

Book Volume: 94

Pages Range: 313--333

Journal Issue: 4

DOI: 10.1007/BF01667385

Abstract

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.

Authors with CRIS profile

Gerhard Keller Professur für Angewandte Mathematik (Angewandte Analysis)

How to cite

APA:

Keller, G. (1982). Stochastic stability in some chaotic dynamical systems. Monatshefte für Mathematik, 94(4), 313--333. https://doi.org/10.1007/BF01667385

MLA:

Keller, Gerhard. "Stochastic stability in some chaotic dynamical systems." Monatshefte für Mathematik 94.4 (1982): 313--333.

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