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Time averages for unpredictable orbits of deterministic systems

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Abstract

In many cases, the orbits of deterministic systems displaying highly irregular oscillations yield smoothly converging time averages. It may happen, however, that these time averages do not converge and themselves display wild oscillations. This is analyzed for heteroclinic attractors and hyperbolic strange attractors.

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  1. Institut für Mathematik der Universität Wien, Strudlhofgasse 4, A-1090, Wien, Austria

    Karl Sigmund

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  1. Karl Sigmund
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Sigmund, K. Time averages for unpredictable orbits of deterministic systems. Ann Oper Res 37, 217–228 (1992). https://doi.org/10.1007/BF02071057

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