caa a22 4500 445360674 CHVBK 20180317142914.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s11071-010-9808-1 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9808-1 Hopf bifurcation for a small-world network model withparameters delay feedback control [Elektronische Daten] [Hongyong Zhao, Wen Xie] To delay the onset of undesirable bifurcation, the bifurcation control has become a subject of intense research activities. In this paper, a small-world network model with the delay feedback is considered, in which the strength of feedback control is a nonlinear function of delay. With this controller, one can change the critical value of bifurcation, and thus enlarge the stable region. Moreover, by adding some proper slowly varying parts into the bifurcation parameters, the stability can be improved. Numerical results show that the dynamics of the small-world network model with the controller of delay-dependent parameters is quite different from that of a system with the controller of delay-independent parameters only. Springer Science+Business Media B.V., 2010 Hopf bifurcation nationallicence Small-world networks nationallicence Bifurcation control nationallicence Delay-dependent nationallicence Slow-fast system nationallicence Zhao Hongyong Department of Mathematics, Nanjing University of Aeronautics and Astronautics, 210016, Nanjing, China aut Xie Wen Department of Mathematics, Nanjing University of Aeronautics and Astronautics, 210016, Nanjing, China aut Nonlinear Dynamics Springer Netherlands 63/3(2011-02-01), 345-357 0924-090X 63:3<345 2011 63 11071 https://doi.org/10.1007/s11071-010-9808-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9808-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Zhao Hongyong Department of Mathematics, Nanjing University of Aeronautics and Astronautics, 210016, Nanjing, China aut NATIONALLICENCE 700 1- Xie Wen Department of Mathematics, Nanjing University of Aeronautics and Astronautics, 210016, Nanjing, China aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 63/3(2011-02-01), 345-357 0924-090X 63:3<345 2011 63 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer