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
一类离心调速器的超混沌及其混合投影同步
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1. 天水师范学院数学与统计学院, 甘肃天水 741001;
2. 兰州交通大学数理与软件工程学院, 甘肃兰州 730070 -
DOI：
Hyperchaotic and Chaos Synchronization for a Type of Centrifugal Governor
摘要/Abstract
研究了受外部扰动的离心调速器系统的复杂动力学行为.通过系统运动的拉格朗日方程和牛顿第二定律,建立了离心调速器系统的动力学方程,通过Lyapunov指数研究了系统的超混沌行为,通过仿真系统的分岔图和Poincaré截面分析了系统通向混沌的道路,并且验证了该系统的分岔图与Lyapunov指数谱是完全吻合的.基于Laypunov稳定性理论,设计了一种非线性控制器,理论上证明了超混沌系统的混合投影同步,数值仿真进一步验证了该控制方案的有效性.
The complex dynamic behavior of the centrifugal flywheel governor system subjected to external disturbance is studied.By mechanics analyzing,the dynamical equation of the system are established,the characteristics of hyperchaotic attractors of the system are analyzed by the phase portraits.Lyapunov exponents are presented to analyze hyperchaotic behavior of the system.The hyperchaotic behavior of system of two positive Lyapunov exponents along with one zero and one negative Lyapunov exponent is obtained.Routes from Hopf bifurcation to chaos are analyzed by the bifurcation diagram and Poincaré sections,and the Lyapunov exponents corresponded to bifurcation diagrams of the system are confirmed.Based on Lyapunov theory,a nonlinear controller is designed to synchronization two identical systems,numerical simulations show the effectiveness of the proposed method.