Non-deterministic chaos
Abstract
Non-deterministic chaos is a form of low-dimensional dynamics which is characterized by the existence of a countable set of 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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