Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/14203
Title: Deterministic and random synthesis of discrete chaos
Authors: Romera, M
Small, M
Danca, MF
Keywords: Anticontrol
Discrete chaos
Logistic map
Superstable orbits
Surrogate tests
Issue Date: 2007
Publisher: Elsevier
Source: Applied mathematics and computation, 2007, v. 192, no. 1, p. 283-297 How to cite?
Journal: Applied mathematics and computation 
Abstract: In this paper, two anticontrol algorithms for synthesis of discrete chaos are introduced. In these algorithms, the control parameter of a discrete dynamical system is switched, either randomly or in a deterministic way, between two or more values corresponding to periodic motions, the result being chaotic behavior. These algorithms require no knowledge of specific mathematical properties of the underlying map modeling the system. The existence of chaos is demonstrated using various tools including graphical iteration, histogram, Lyapunov exponent and surrogate tests. In this paper, these very simple and implementable chaotifiers are applied to the logistic map.
URI: http://hdl.handle.net/10397/14203
ISSN: 0096-3003
EISSN: 1873-5649
DOI: 10.1016/j.amc.2007.02.142
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