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

Created by W.Langdon from gp-bibliography.bib Revision:1.7778

@InProceedings{Matousek:2021:CEC,

• author = "Radomil Matousek and Rene Pierre Lozi and Tomas Hulka",
• title = "Stabilization of Higher Periodic Orbits of the {Lozi} and {Henon} Maps using Meta-evolutionary Approaches",
• booktitle = "2021 IEEE Congress on Evolutionary Computation (CEC)",
• year = "2021",
• editor = "Yew-Soon Ong",
• pages = "572--579",
• address = "Krakow, Poland",
• month = "28 " # jun # "-1 " # jul,
• keywords = "genetic algorithms, genetic programming, Chaos, Simulation, Optimization methods, Linear programming, Orbits, Trajectory, Chaos control, Evolutionary computation, Lozi map, Henon map, Optimization",
• isbn13 = "978-1-7281-8393-0",
• DOI = "doi:10.1109/CEC45853.2021.9504798",
• 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, a two dimensional Lozi map and two dimensional Henon map were used. The novelty of the approach is in an effective use of a new type of objective function, which is essential for the whole optimization process of higher periodic orbits as well as an effective use of advanced metaheuristic optimization methods. Although the task of stabilizing the Lozi and Henon chaotic systems is known, its solution presented for periodic orbit four is not trivial. The task of stabilizing the Lozi chaotic systems for period four is a new approach. Furthermore, modern meta-heuristics were used for own design of the external disturbance sequences. The used optimization methods are a naive grid-based algorithm (NG), a grid-based Nelder-Mead Algorithm (NM), a Genetic Algorithm (GA) as well as Genetic Programming (GP). A connection of GP and second level optimization using GA displays significantly better results than the given stand-alone meta-heuristic techniques.",
• notes = "p578 'It is obvious the progress of the GP opposite of NM and GA, and the rapid improvement two level optimization given by GP+, i.e. tuning GP by GA'

  Also known as \cite{9504798}",

}

Genetic Programming entries for Radomil Matousek Rene Pierre Lozi Tomas Hulka

Citations