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

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F21%3APU141604" target="_blank" >RIV/00216305:26210/21:PU141604 - isvavai.cz</a>

Result on the web

<a href="https://ieeexplore.ieee.org/document/9504798" target="_blank" >https://ieeexplore.ieee.org/document/9504798</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1109/CEC45853.2021.9504798" target="_blank" >10.1109/CEC45853.2021.9504798</a>

Result language

angličtina

Original language name

Stabilization of Higher Periodic Orbits of the Lozi and Hénon 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, a two dimensional Lozi map and two dimensional Hénon 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 Hénon 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.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

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OECD FORD branch

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project

—

Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2021

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection

2021 IEEE Congress on Evolutionary Computation (CEC)

ISBN

978-1-7281-8393-0

ISSN

—

e-ISSN

—

Number of pages

8

Pages from-to

572-579

Publisher name

IEEE

Place of publication

Kraków, Poland

Event location

Krakow

Event date

Jun 28, 2021

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

000703866100072