Stabilization of Higher Periodic Orbits of the Chaotic Logistic and Henon Maps using Meta-evolutionary Approaches
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- @InProceedings{Matousek:2019:CEC,
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author = "Radomil Matousek and Tomas Hulka",
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title = "Stabilization of Higher Periodic Orbits of the Chaotic
Logistic and Henon Maps using Meta-evolutionary
Approaches",
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booktitle = "2019 IEEE Congress on Evolutionary Computation (CEC)",
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year = "2019",
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pages = "1758--1765",
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month = jun,
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keywords = "genetic algorithms, genetic programming",
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DOI = "doi:10.1109/CEC.2019.8790075",
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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.",
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notes = "Also known as \cite{8790075}",
- }
Genetic Programming entries for
Radomil Matousek
Tomas Hulka
Citations