Transformation of the generalized chaotic system into canonical form

The paper deals with the developing of the numerical algorithms for transformation of generalized chaotic system into canonical form. Such transformation allows us to simplify control algorithm for chaotic system. These algorithms are defined by using Lie derivatives for output variable and solution...

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Main Author: Roman Voliansky
Format: Article
Language:English
Published: Universitas Ahmad Dahlan 2017-12-01
Series:IJAIN (International Journal of Advances in Intelligent Informatics)
Subjects:
Online Access:http://ijain.org/index.php/IJAIN/article/view/113
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spelling doaj-fe4f3c74bc4b45c69ed0e78cd521fd1a2020-11-24T22:20:18ZengUniversitas Ahmad DahlanIJAIN (International Journal of Advances in Intelligent Informatics)2442-65712548-31612017-12-013311712410.26555/ijain.v3i3.11372Transformation of the generalized chaotic system into canonical formRoman Voliansky0Dniprovsky State Technical UniversityThe paper deals with the developing of the numerical algorithms for transformation of generalized chaotic system into canonical form. Such transformation allows us to simplify control algorithm for chaotic system. These algorithms are defined by using Lie derivatives for output variable and solution of nonlinear equations. Usage of proposed algorithm is one of the ways for discovering of new chaotic attractors. These attractors can be obtained by transformation of known chaotic systems into various state spaces. Transformed attractors depend on both parameters of chaotic system and sample time of its discrete model.http://ijain.org/index.php/IJAIN/article/view/113ChaosDynamical systemDifferential equationsGeneralized chaotic systemNonlinear coordinate transformation
collection DOAJ
language English
format Article
sources DOAJ
author Roman Voliansky
spellingShingle Roman Voliansky
Transformation of the generalized chaotic system into canonical form
IJAIN (International Journal of Advances in Intelligent Informatics)
Chaos
Dynamical system
Differential equations
Generalized chaotic system
Nonlinear coordinate transformation
author_facet Roman Voliansky
author_sort Roman Voliansky
title Transformation of the generalized chaotic system into canonical form
title_short Transformation of the generalized chaotic system into canonical form
title_full Transformation of the generalized chaotic system into canonical form
title_fullStr Transformation of the generalized chaotic system into canonical form
title_full_unstemmed Transformation of the generalized chaotic system into canonical form
title_sort transformation of the generalized chaotic system into canonical form
publisher Universitas Ahmad Dahlan
series IJAIN (International Journal of Advances in Intelligent Informatics)
issn 2442-6571
2548-3161
publishDate 2017-12-01
description The paper deals with the developing of the numerical algorithms for transformation of generalized chaotic system into canonical form. Such transformation allows us to simplify control algorithm for chaotic system. These algorithms are defined by using Lie derivatives for output variable and solution of nonlinear equations. Usage of proposed algorithm is one of the ways for discovering of new chaotic attractors. These attractors can be obtained by transformation of known chaotic systems into various state spaces. Transformed attractors depend on both parameters of chaotic system and sample time of its discrete model.
topic Chaos
Dynamical system
Differential equations
Generalized chaotic system
Nonlinear coordinate transformation
url http://ijain.org/index.php/IJAIN/article/view/113
work_keys_str_mv AT romanvoliansky transformationofthegeneralizedchaoticsystemintocanonicalform
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