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 Trujillo | 1 | 41 | 11.33 |
Arnaud Meyroneinc | 2 | 0 | 0.34 |
Kilver Campos | 3 | 0 | 0.34 |
Otto Rendón | 4 | 0 | 0.68 |
Leonardo Di G. Sigalotti | 5 | 0 | 0.34 |