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arXiv · 1611.01656

Autonomous choices among deterministic evolution-laws as source of uncertainty

L. Trujillo·A. Meyroneinc·K. Campos·O. Rendon·L. Di G. Sigalotti
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Abstract

We provide evidence of an extreme form of sensitivity to initial conditions in a family of one-dimensional self-ruling dynamical systems. We prove that some hyperchaotic sequences are closed-form expressions of the orbits of these pseudo-random dynamical systems. Each chaotic system in this family exhibits a sensitivity to initial conditions that encompasses the sequence of choices of the evolution rule in some collection of maps. This opens a possibility to extend current theories of complex behaviors on the basis of intrinsic uncertainty in deterministic chaos.

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L. Trujillo, A. Meyroneinc, K. Campos, O. Rendon, L. Di G. Sigalotti. 2016-11-05. Autonomous choices among deterministic evolution-laws as source of uncertainty. https://doi.org/10.1016/j.cnsns.2017.08.015

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