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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F19%3APU135434" target="_blank" >RIV/00216305:26210/19:PU135434 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1109/CEC.2019.8790075" target="_blank" >http://dx.doi.org/10.1109/CEC.2019.8790075</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/CEC.2019.8790075" target="_blank" >10.1109/CEC.2019.8790075</a>

Result language
angličtina
Original language name
Stabilization of Higher Periodic Orbits of the Chaotic Logistic and Henon Maps using Meta-evolutionary Approaches
Original language description
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 H ' enon 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.
Czech name
—
Czech description
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Project
<a href="/en/project/LTC18053" target="_blank" >LTC18053: Advanced Methods of Nature-Inspired Optimisation and HPC Implementation for the Real-Life Applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
2019 IEEE Congress on Evolutionary Computation, CEC 2019 - Proceedings
ISBN
978-1-7281-2153-6
ISSN
—
e-ISSN
—
Number of pages
8
Pages from-to
1758-1765
Publisher name
IEEE
Place of publication
NEW YORK
Event location
Wellington
Event date
Jun 10, 2019
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000502087101103

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