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

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...

Full description

Bibliographic Details
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
Description
Summary: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.
ISSN:2617-0108
2663-6824

Similar Items