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Chain recurrence, growth rates and ergodic limits

Published online by Cambridge University Press:  01 October 2007

FRITZ COLONIUS ,
ROBERTA FABBRI  and
RUSSELL JOHNSON
FRITZ COLONIUS
Affiliation:
Institut für Mathematik, Universität Augsburg, 86135 Augsburg, Germany (email: [email protected])
ROBERTA FABBRI
Affiliation:
Dipartimento di Sistemi ed Informatica, Via S. Marta 3, 50139 Firenze, Italy
RUSSELL JOHNSON
Affiliation:
Dipartimento di Sistemi ed Informatica, Via S. Marta 3, 50139 Firenze, Italy
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Abstract

Averages of functionals along trajectories are studied by evaluating the averages along chains. This yields results for the possible limits and, in particular, for ergodic limits. Applications to Lyapunov exponents and to concepts of rotation numbers of linear Hamiltonian flows and of general linear flows are given.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 27 , Issue 5 , October 2007 , pp. 1509 - 1524
Copyright
Copyright © Cambridge University Press 2007

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