Non-deterministic chaos
D. D. Dixon (Institute for Geophysics, Planetary Physics,, University of California, Riverside)
TL;DR
This paper introduces non-deterministic chaos, a type of low-dimensional dynamics with sensitive decision points where noise causes unpredictable trajectory choices, and develops a statistical analysis method for such systems.
Contribution
It defines non-deterministic chaos, identifies sensitive decision points, and proposes a statistical approach to analyze the resulting stochastic dynamics.
Findings
Identification of sensitive decision points in chaotic systems
Development of a statistical analysis method for non-deterministic chaos
Illustration with an example system
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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Taxonomy
TopicsNeural Networks and Applications · Scientific Research and Discoveries