Time averages for unpredictable orbits of deterministic systems

Time averages for unpredictable orbits of deterministic systems

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Article ID: iaor20083141
Country: Netherlands
Volume: 37
Issue: 1
Start Page Number: 217
End Page Number: 228
Publication Date: Dec 1992
Journal: Annals of Operations Research
Authors:
Keywords: chaos
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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