一类具有混沌纠缠函数的新型混沌系统的Hopf分岔分析

IF 1.2 Q2 MATHEMATICS, APPLIED

Journal of Applied Mathematics Pub Date : 2014-07-22 DOI:10.1155/2014/371509

Zhang Jiangang, Chu Yandong, Duan Wenju, Chang Yingxiang, An Xinlei

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引用次数: 5

摘要

本文介绍了一种产生混沌现象的新方法——混沌纠缠。其基本原理是通过纠缠函数将两个或多个稳定的线性子系统纠缠在一起，形成一个人工混沌系统，使每个子系统都以混沌的方式演化。研究了一类具有混沌纠缠函数的新型混沌系统的Hopf分岔问题。更准确地说，我们研究了新混沌系统的稳定性和平衡分岔。此外，采用滑模方法将系统控制在任意不动点以消除混沌振动。通过数值仿真验证了该控制器的有效性。

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 Analysis in a New Chaotic System with Chaos Entanglement Function

A new approach to generate chaotic phenomenon, called chaos entanglement, is introduced in this paper. The basic principle is to entangle two or multiple stable linear subsystems by entanglement functions to form an artificial chaotic system such that each of them evolves in a chaotic manner. The Hopf bifurcation of a new chaotic system with chaos entanglement function is studied. More precisely, we study the stability and bifurcations of equilibrium in the new chaotic system. Besides, we controlled the system to any fixed point to eliminate the chaotic vibration by means of sliding mode method. And the numerical simulations were presented to confirm the effectiveness of the controller.

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来源期刊

Journal of Applied Mathematics MATHEMATICS, APPLIED-

CiteScore

2.70

自引率

0.00%

发文量

审稿时长

3.2 months

期刊介绍： Journal of Applied Mathematics is a refereed journal devoted to the publication of original research papers and review articles in all areas of applied, computational, and industrial mathematics.