دورية
Anti-control of Hopf bifurcation for the Willamowski–Rössler system
| العنوان: | Anti-control of Hopf bifurcation for the Willamowski–Rössler system |
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| المؤلفون: | Zhang, Liang, Han, Qin, Fang, Ziqiang, Peng, Songlin |
| المصدر: | International Journal of Dynamics and Control; 20240101, Issue: Preprints p1-9, 9p |
| مستخلص: | Anti-control of Hopf bifurcation is one of the hot topics in nonlinear dynamics research, which is to make the system generate or strengthen bifurcation at a prespecified location. The Willamowski–Rössler system is taken as the research object, which is a nonlinear dynamic system derived from chemical reaction processes. Using the higher-dimensional Hopf bifurcation theory, the critical value of the Hopf bifurcation of a non-zero equilibrium point is obtained. A state feedback control method is proposed. With this method, anti-control of Hopf bifurcation for the system is accomplished by a hybrid controller, which is composed of linear and nonlinear controllers. The relationship between the bifurcation parameter and the control parameters of the linear controller is obtained. The values of the control parameters of the linear controller are determined by the bifurcation parameter. Although the critical values of the bifurcation parameters are not determined by the control parameters of the nonlinear controller, the parameter can change the amplitude of the limit cycle, which is inversely proportional to the amplitude of the limit cycle. Finally, the theoretical analysis is verified by numerical simulation. |
| قاعدة البيانات: | Supplemental Index |
Find this article in full text from Springer Verlag. 
Full Text Finder | تدمد: | 2195268X 21952698 |
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| DOI: | 10.1007/s40435-023-01264-9 |