caa a22 4500 445361506 CHVBK 20180317142916.0 cr unu---uuuuu 170323e20110701xx s 000 0 eng 10.1007/s11071-010-9875-3 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9875-3 Hopf bifurcation control for stochastic dynamical system with nonlinear random feedback method [Elektronische Daten] [Yong Xu, Shaojuan Ma, Huiqing Zhang] 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. Springer Science+Business Media B.V., 2010 Stochastic dynamical system nationallicence Random parameter nationallicence Random feedback control method nationallicence Orthogonal polynomial approximation nationallicence Xu Yong Department of Applied Mathematics, Northwestern Polytechnical University, 710072, Xi'an, China aut Ma Shaojuan School of Information & Computation Science, North University for Nationalities, 750021, Yinchuan, China aut Zhang Huiqing Department of Applied Mathematics, Northwestern Polytechnical University, 710072, Xi'an, China aut Nonlinear Dynamics Springer Netherlands 65/1-2(2011-07-01), 77-84 0924-090X 65:1-2<77 2011 65 11071 https://doi.org/10.1007/s11071-010-9875-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9875-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Xu Yong Department of Applied Mathematics, Northwestern Polytechnical University, 710072, Xi'an, China aut NATIONALLICENCE 700 1- Ma Shaojuan School of Information & Computation Science, North University for Nationalities, 750021, Yinchuan, China aut NATIONALLICENCE 700 1- Zhang Huiqing Department of Applied Mathematics, Northwestern Polytechnical University, 710072, Xi'an, China aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 65/1-2(2011-07-01), 77-84 0924-090X 65:1-2<77 2011 65 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer