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Non-deterministic chaos

D. D. Dixon
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Abstract

Non-deterministic chaos is a form of low-dimensional dynamics which is characterized by the existence of a countable set of {\em sensitive decision points} (SDP's). Away from these points, the dynamics is well-behaved. Near these points, however, perturbations (e.g., thermal noise) may cause the outgoing trajectory to be chosen randomly. An example of a non-deterministic chaotic system is given, and a statistical method of analyzing the resultant dynamics is developed.

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D. D. Dixon. 1993-08-03. Non-deterministic chaos. https://arxiv.org/abs/chao-dyn/9307020

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