The behavior of hidden bifurcation in 2D scroll via saturated function series controlled by a coefficient harmonic linearization method

IF 2 3区数学 Q1 MATHEMATICS

Demonstratio Mathematica Pub Date : 2023-01-01 DOI:10.1515/dema-2022-0211

Zaamoune Faiza, Menacer Tidjani

引用次数: 0

Abstract

Abstract In this article, the behavior of hidden bifurcation in a two-dimensional (2D) scroll via saturated function series controlled by the coefficient harmonic linearization method is presented. A saturated function series approach for chaos generation. The systematic saturated function series methodicalness improved here can make multi-scroll and grid scroll chaotic attractors from a 3D linear autonomous system with a plain saturated function series supervisor. We have used a hidden bifurcation method in grid scroll., where the method of hidden bifurcation presented by Menacer, et al. in (2016) for Chua multi-scroll attractors. This additional parameter, which is absent from the initial problem, is perfectly adapted to unfold the structure of the multispiral chaotic attractor. The novelty of this article is twofold: first, the saturated function series model for hidden bifurcation in a 2 – D scroll; and second, the control of hidden bifurcation behavior by the value of the harmonic coefficient k 3 {k}_{3} .

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基于系数谐波线性化方法控制的饱和函数序列的二维涡旋隐藏分岔行为

摘要本文研究了用系数调和线性化方法控制的饱和函数级数在二维涡旋上的隐分岔行为。混沌生成的饱和函数级数方法。本文改进的系统饱和函数序列的系统性可以从一个平面饱和函数序列监督的三维线性自治系统中得到多涡旋和网格涡旋混沌吸引子。我们在网格滚动中使用了一种隐藏分岔方法。，其中Menacer等人(2016)针对Chua多滚动吸引子提出的隐分岔方法。这个初始问题中没有的附加参数可以很好地用于揭示多螺旋混沌吸引子的结构。本文的新颖之处在于:一是建立了二维涡旋隐分叉的饱和函数级数模型;其次，利用谐波系数k3 {k}_{3}的值控制隐分岔行为。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Demonstratio Mathematica MATHEMATICS-

CiteScore

2.40

自引率

5.00%

发文量

审稿时长

35 weeks

期刊介绍： Demonstratio Mathematica publishes original and significant research on topics related to functional analysis and approximation theory. Please note that submissions related to other areas of mathematical research will no longer be accepted by the journal. The potential topics include (but are not limited to): -Approximation theory and iteration methods- Fixed point theory and methods of computing fixed points- Functional, ordinary and partial differential equations- Nonsmooth analysis, variational analysis and convex analysis- Optimization theory, variational inequalities and complementarity problems- For more detailed list of the potential topics please refer to Instruction for Authors. The journal considers submissions of different types of articles. "Research Articles" are focused on fundamental theoretical aspects, as well as on significant applications in science, engineering etc. “Rapid Communications” are intended to present information of exceptional novelty and exciting results of significant interest to the readers. “Review articles” and “Commentaries”, which present the existing literature on the specific topic from new perspectives, are welcome as well.