Hopf bifurcation control for stochastic dynamical system with nonlinear random feedback method

被引：29

作者：

Xu, Yong ^{[1
]}

Ma, Shaojuan ^{[2
]}

Zhang, Huiqing ^{[1
]}

机构：

[1] Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China

[2] N Univ Nationalities, Sch Informat & Computat Sci, Yinchuan 750021, Peoples R China

来源：

NONLINEAR DYNAMICS | 2011年 / 65卷 / 1-2期

关键词：

Stochastic dynamical system; Random parameter; Random feedback control method; Orthogonal polynomial approximation; DUFFING SYSTEM; CHAOS; STABILIZATION; UNCERTAINTY;

D O I：

10.1007/s11071-010-9875-3

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Hopf bifurcation control in nonlinear stochastic dynamical system with nonlinear random feedback method is studied in this paper. Firstly, orthogonal polynomial approximation is applied to reduce the controlled stochastic nonlinear dynamical system with nonlinear random controller to the deterministic equivalent system, solvable by suitable numerical methods. Then, Hopf bifurcation control with nonlinear random feedback controller is discussed in detail. Numerical simulations show that the method provided in this paper is not only available to control the stochastic Hopf bifurcation in nonlinear stochastic dynamical system, but is also superior to the deterministic nonlinear feedback controller.

引用

页码：77 / 84

页数：8

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