三维二次跃迁系统的霍普夫分岔

IF 1.2 Q3 MULTIDISCIPLINARY SCIENCES Baghdad Science Journal Pub Date : 2023-12-24 DOI:10.21123/bsj.2023.8945

Tahsin I. Rasul, Rizgar H. Salih

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引用次数: 0

摘要

本文致力于研究三维二次方抽动系统的霍普夫分岔。研究了奇异点的稳定性、霍普夫分岔的出现以及系统的极限循环。此外，还使用了李雅普诺夫量技术来研究系统的循环性，并找出从霍普夫分岔点可以分岔出多少个极限循环。由于计算 Liapunov 量所需的计算负荷，一些参数是固定的。目前，分析表明，从霍普夫点可以分叉出三个极限循环。本研究提出的结果已通过 MAPLE 程序验证。

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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Hopf Bifurcation of Three-Dimensional Quadratic Jerk System

This paper is devoted to investigating the Hopf bifurcation of a three-dimensional quadratic jerk system. The stability of the singular points, the appearance of the Hopf bifurcation and the limit cycles of the system are studied. Additionally, the Liapunov quantities technique is used to study the cyclicity of the system and find how many limit cycles can be bifurcated from the Hopf points. Due to the computational load required for computing Liapunov quantities, some parameters are fixed. Currently, the analysis shows that three limit cycles can be bifurcated from the Hopf points. The results presented in this study are verified using MAPLE program.

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来源期刊

Baghdad Science Journal MULTIDISCIPLINARY SCIENCES-

CiteScore

2.00

自引率

50.00%

发文量

102

审稿时长

24 weeks

期刊介绍： The journal publishes academic and applied papers dealing with recent topics and scientific concepts. Papers considered for publication in biology, chemistry, computer sciences, physics, and mathematics. Accepted papers will be freely downloaded by professors, researchers, instructors, students, and interested workers. ( Open Access) Published Papers are registered and indexed in the universal libraries.