Autonomous choices among deterministic evolution-laws as source of uncertainty
Chaotic Dynamics
2017-09-07 v3 Mathematical Physics
Dynamical Systems
math.MP
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.1611.01656,
title = {Autonomous choices among deterministic evolution-laws as source of uncertainty},
author = {L. Trujillo and A. Meyroneinc and K. Campos and O. Rendon and L. Di G. Sigalotti},
journal= {arXiv preprint arXiv:1611.01656},
year = {2017}
}
Comments
18 pages, 13 figures