河北师范大学学报—

期刊信息

刊名：河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
主办：河北师范大学
ISSN： 1000-5854
CN： 13-1061/N
中国科技核心期刊
中国期刊方阵入选期刊
中国高校优秀科技期刊
华北优秀期刊
河北省优秀科技期刊

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无平衡点的混沌系统的动力学分析与能量反馈控制

兰州交通大学数理学院, 甘肃兰州 730070
DOI： 10.13763/j.cnki.jhebnu.nse.2019.05.004

Dynamic Analysis and Energy Feedback Control of Chaotic Systems Without Equilibrium Point

WANG Wenjing, AN Xinlei, YU Huanhuan

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摘要/Abstract

摘要：

通过向具有无穷多个平衡点的混沌系统引入新的参数的方法，提出了一类新的混沌自治系统，该系统的最大特点是没有平衡点，因此其所有的动力学行为都是隐藏的.利用理论分析、Lyapunov指数和分岔图等非线性系统分析方法，研究了该新系统随着新参数变化时，1周期、2周期及混沌等复杂的隐藏动力学行为.另外，当初始条件不同时，新系统存在极限环和混沌吸引子共存的现象.最后，通过计算系统的哈密顿能量，设计出能量反馈控制器，在一定时间内将混沌消除.

Abstract：

A new kind of chaotic autonomous system is proposed by introducing new parameters to the chaotic system with infinitely many equilibria.By using theoretical analysis,Lyapunov exponent,bifurcation graph and other nonlinear system analysis,the hidden dynamic behaviors of the new system,such as one period,two periods and chaos,are studied when the new parameters change.In addition,when initial conditions change,limit cycles and chaotic attractors coexist in the new system.Finally,the Hamiltonian energy of the system is calculated and an energy feedback controller is designed to eliminate chaos within a certain time.

关键词

关键词： 隐藏吸引子 ; Lyapunov指数 ; 哈密顿能量 ; 能量控制

Key words： hidden attractors ; Lyapunov index ; Hamilton energy ; energy control

参考文献 16

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