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Title of Journal: Nonlinear Dyn

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Abbravation: Nonlinear Dynamics

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Springer Netherlands

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DOI

10.1016/0147-5975(91)90043-d

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1573-269X

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Hopf bifurcation control for stochastic dynamical

Authors: Yong Xu Shaojuan Ma Huiqing Zhang
Publish Date: 2010/11/09
Volume: 65, Issue: 1-2, Pages: 77-84
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Abstract

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

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