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

Vasiliy Ye. Belozyorov | Zendy; Yevhen V. Koshel | Zendy; Vadym G. Zaytsev | Zendy

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

Author(s) -

Vasiliy Ye. Belozyorov,

Yevhen V. Koshel,

Vadym G. Zaytsev

Publication year - 2019

Publication title -

journal of optimization differential equations and their applications

Language(s) - English

Resource type - Journals

eISSN - 2663-6824

pISSN - 2617-0108

DOI - 10.15421/141907

Subject(s) - attractor , chaos (operating system) , chaotic , lorenz system , parameter space , bifurcation , synchronization of chaos , control of chaos , control theory (sociology) , bifurcation diagram , computer science , dynamical systems theory , property (philosophy) , statistical physics , chaotic systems , mathematics , physics , nonlinear system , mathematical analysis , artificial intelligence , control (management) , geometry , philosophy , computer security , epistemology , quantum mechanics

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.

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