Publication detail

Stabilization of Higher Periodic Orbits of Chaotic maps using Permutation-selective Objective Function

HŮLKA, T. MATOUŠEK, R. LOZI, R.

Original Title

Stabilization of Higher Periodic Orbits of Chaotic maps using Permutation-selective Objective Function

Type

conference paper

Language

English

Original Abstract

This paper deals with the design of an advanced objective function capable of proper evaluation of the solutions during the process of chaotic trajectory stabilisation into stable periodic motion by means of evolutionary metaheuristic optimization. The challenging problem of stabilisation of chaotic systems generates many unexpected difficulties. One of them is the evaluation of a sample stabilized run during optimization. Even more so, when the target state of the chaotic system is a stable cycle oscillating periodically between several target positions. In this study, a two-dimensional dynamical system, known as the Hénon map was used. The system is stabilized using Extended Time Delayed Auto Synchronization (ETDAS) method with Genetic Algorithm (GA) optimization. The solutions are evaluated by a permutation-selective objective function, which achieves significantly better results than conventional evaluation methods based on a common objective function.

Keywords

Chaos control; Genetic Algorithm; Hénon map; ITAE; Objective function; Optimization; Stable periodic motion

Authors

HŮLKA, T.; MATOUŠEK, R.; LOZI, R.

Released

6. 10. 2022

Publisher

IEEE

Location

Florence, Italy

ISBN

978-1-7281-7124-1

Book

2022 IEEE Workshop on Complexity in Engineering (COMPENG)

Edition

IEEE Xplore

Pages from

1

Pages to

5

Pages count

5

URL

https://ieeexplore.ieee.org/document/9905436

BibTex

@inproceedings{BUT182798,
  author="HŮLKA, T. and MATOUŠEK, R. and LOZI, R.",
  title="Stabilization of Higher Periodic Orbits of Chaotic maps using Permutation-selective Objective Function",
  booktitle="2022 IEEE Workshop on Complexity in Engineering (COMPENG)",
  year="2022",
  series="IEEE Xplore",
  pages="5",
  publisher="IEEE",
  address="Florence, Italy",
  doi="10.1109/COMPENG50184.2022.9905436",
  isbn="978-1-7281-7124-1",
  url="https://ieeexplore.ieee.org/document/9905436"
}