广义混沌Lorenz模型的动力学分析与有界性

IF 1.8 3区数学 Q1 MATHEMATICS

AIMS Mathematics Pub Date : 2023-01-01 DOI:10.3934/math.20231005

Xinna Mao, Hongwei Feng, M. Al-Towailb, H. Saberi-Nik

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引用次数: 0

摘要

研究了五维洛伦兹模型(5DLM)的动力学行为。分岔图处理与分岔参数相关的混沌和周期行为。给出了Hamilton能量及其对动力系统稳定性的依赖关系。在不同的三维投影平面上估计全局指数吸引集。确定了系统的一个更保守的界，可以应用于动态系统的同步和混沌控制。最后，研究了5DLM的有限时间同步性，表明了每个变量的极限界的作用。仿真结果验证了理论结果的有效性。

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Dynamical analysis and boundedness for a generalized chaotic Lorenz model

The dynamical behavior of a 5-dimensional Lorenz model (5DLM) is investigated. Bifurcation diagrams address the chaotic and periodic behaviors associated with the bifurcation parameter. The Hamilton energy and its dependence on the stability of the dynamical system are presented. The global exponential attractive set (GEAS) is estimated in different 3-dimensional projection planes. A more conservative bound for the system is determined, that can be applied in synchronization and chaos control of dynamical systems. Finally, the finite time synchronization of the 5DLM, indicating the role of the ultimate bound for each variable, is studied. Simulations illustrate the effectiveness of the achieved theoretical results.

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来源期刊

AIMS Mathematics Mathematics-General Mathematics

CiteScore

3.40

自引率

13.60%

发文量

769

审稿时长

90 days

期刊介绍： AIMS Mathematics is an international Open Access journal devoted to publishing peer-reviewed, high quality, original papers in all fields of mathematics. We publish the following article types: original research articles, reviews, editorials, letters, and conference reports.