Stabilization of Higher Periodic Orbits of the Chaotic Logistic and Henon Maps using Meta-evolutionary Approaches

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@InProceedings{Matousek:2019:CEC,

• author = "Radomil Matousek and Tomas Hulka",
• title = "Stabilization of Higher Periodic Orbits of the Chaotic Logistic and Henon Maps using Meta-evolutionary Approaches",
• booktitle = "2019 IEEE Congress on Evolutionary Computation (CEC)",
• year = "2019",
• pages = "1758--1765",
• month = jun,
• keywords = "genetic algorithms, genetic programming",
• DOI = "doi:10.1109/CEC.2019.8790075",
• abstract = "This paper deals with an advanced adjustment of stabilization sequences for selected discrete chaotic systems by means of meta-evolutionary approaches. As the representative models of deterministic chaotic systems, one dimensional Logistic equation and two dimensional Henon map were used. The stability of the chaotic systems has been studied by computer simulations. The novelty of the approach is in an effective design of a new type of objective function, which is very important for the whole optimization process of higher periodic orbits. Furthermore, modern meta-heuristics were used for own design of proper stabilizing sequences. The used optimization methods are a grid-based Nelder-Mead Algorithm (NMA), Genetic Algorithm (GA) as well as Genetic Programming (GP). GP results show good capability of control law synthesis in case of higher periodic orbits. A connection of GP and second level optimization using GA or NMA displays better results than stand alone meta-heuristic techniques. Although the task of stabilizing the presented chaotic systems is known, its solution presented for periodic orbits two and four is not trivial.",
• notes = "Also known as \cite{8790075}",

}

Genetic Programming entries for Radomil Matousek Tomas Hulka

Citations