Title
Autonomous choices among deterministic evolution–laws as source of uncertainty
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.
Year
DOI
Venue
2018
10.1016/j.cnsns.2017.08.015
Communications in Nonlinear Science and Numerical Simulation
Keywords
DocType
Volume
Self–ruling systems,Bi-sensitivity to initial conditions,Uncertainty
Journal
56
ISSN
Citations 
PageRank 
1007-5704
0
0.34
References 
Authors
1
5
Name
Order
Citations
PageRank
Leonardo Trujillo14111.33
Arnaud Meyroneinc200.34
Kilver Campos300.34
Otto Rendón400.68
Leonardo Di G. Sigalotti500.34