A POSSIBILITY OF ROBUST CHAOS EMERGENCE IN LORENZ-LIKE NON-AUTONOMOUS SYSTEM

Robust chaos is determined by the absence of periodic windows in bifurcation diagrams and coexisting attractors with parameter values taken from some regions of the parameter space of a dynamical system. Reliable chaos is an important characteristic of a dynamic system when it comes to its practical...

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Main Authors:	Vasiliy Ye. Belozyorov, Yevhen V. Koshel, Vadym G. Zaytsev
Format:	Article
Language:	English
Published:	Oles Honchar Dnipro National University 2019-09-01
Series:	Journal of Optimization, Differential Equations and Their Applications
Subjects:	robust chaos boussinesq-darcy approximation 3d lorenz-like non-autonomous chaotic system bifurcation diagram multidimensional recurrence quantification analysis
Online Access:	https://model-dnu.dp.ua/index.php/SM/article/view/138

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spelling	doaj-490f4242592f468288a36753583e492b2020-11-24T21:40:55ZengOles Honchar Dnipro National UniversityJournal of Optimization, Differential Equations and Their Applications2617-01082663-68242019-09-01272445910.15421/141907130A POSSIBILITY OF ROBUST CHAOS EMERGENCE IN LORENZ-LIKE NON-AUTONOMOUS SYSTEMVasiliy Ye. Belozyorov0Yevhen V. Koshel1Vadym G. Zaytsev2Department of Applied Mathematics, Oles Honchar Dnipro National UniversityDepartment of Applied Mathematics, Oles Honchar Dnipro National UniversityDepartment of Applied Mathematics, Oles Honchar Dnipro National UniversityRobust chaos is determined by the absence of periodic windows in bifurcation diagrams and coexisting attractors with parameter values taken from some regions of the parameter space of a dynamical system. Reliable chaos is an important characteristic of a dynamic system when it comes to its practical application. This property ensures that the chaotic behavior of the system will not deteriorate or be adversely affected by various factors. There are many methods for creating chaotic systems that are generated by adjusting the corresponding system parameters. However, most of the proposed systems are functions of well-known discrete mappings. In view of this, in this paper we consider a continuous system that illustrates some robust chaos properties.https://model-dnu.dp.ua/index.php/SM/article/view/138robust chaosboussinesq-darcy approximation3d lorenz-like non-autonomous chaotic systembifurcation diagrammultidimensional recurrence quantification analysis
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Vasiliy Ye. Belozyorov Yevhen V. Koshel Vadym G. Zaytsev
spellingShingle	Vasiliy Ye. Belozyorov Yevhen V. Koshel Vadym G. Zaytsev A POSSIBILITY OF ROBUST CHAOS EMERGENCE IN LORENZ-LIKE NON-AUTONOMOUS SYSTEM Journal of Optimization, Differential Equations and Their Applications robust chaos boussinesq-darcy approximation 3d lorenz-like non-autonomous chaotic system bifurcation diagram multidimensional recurrence quantification analysis
author_facet	Vasiliy Ye. Belozyorov Yevhen V. Koshel Vadym G. Zaytsev
author_sort	Vasiliy Ye. Belozyorov
title	A POSSIBILITY OF ROBUST CHAOS EMERGENCE IN LORENZ-LIKE NON-AUTONOMOUS SYSTEM
title_short	A POSSIBILITY OF ROBUST CHAOS EMERGENCE IN LORENZ-LIKE NON-AUTONOMOUS SYSTEM
title_full	A POSSIBILITY OF ROBUST CHAOS EMERGENCE IN LORENZ-LIKE NON-AUTONOMOUS SYSTEM
title_fullStr	A POSSIBILITY OF ROBUST CHAOS EMERGENCE IN LORENZ-LIKE NON-AUTONOMOUS SYSTEM
title_full_unstemmed	A POSSIBILITY OF ROBUST CHAOS EMERGENCE IN LORENZ-LIKE NON-AUTONOMOUS SYSTEM
title_sort	possibility of robust chaos emergence in lorenz-like non-autonomous system
publisher	Oles Honchar Dnipro National University
series	Journal of Optimization, Differential Equations and Their Applications
issn	2617-0108 2663-6824
publishDate	2019-09-01
description	Robust chaos is determined by the absence of periodic windows in bifurcation diagrams and coexisting attractors with parameter values taken from some regions of the parameter space of a dynamical system. Reliable chaos is an important characteristic of a dynamic system when it comes to its practical application. This property ensures that the chaotic behavior of the system will not deteriorate or be adversely affected by various factors. There are many methods for creating chaotic systems that are generated by adjusting the corresponding system parameters. However, most of the proposed systems are functions of well-known discrete mappings. In view of this, in this paper we consider a continuous system that illustrates some robust chaos properties.
topic	robust chaos boussinesq-darcy approximation 3d lorenz-like non-autonomous chaotic system bifurcation diagram multidimensional recurrence quantification analysis
url	https://model-dnu.dp.ua/index.php/SM/article/view/138
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A POSSIBILITY OF ROBUST CHAOS EMERGENCE IN LORENZ-LIKE NON-AUTONOMOUS SYSTEM

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