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| Hopf bifurcation analysis and anti-control of bifurcation of a four-dimensional hyperchaotic systems |
| Received:March 13, 2017 Revised:September 05, 2017 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20170313005 |
| KeyWord:hyperchaotic system Hopf bifurcation combined controller anti-control of bifurcation |
| Author | Institution |
| 张良 |
湖南大学 机械与运载工程学院, 长沙 |
| 唐驾时 |
湖南大学 机械与运载工程学院, 长沙 |
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| Abstract: |
| Anti-control of bifurcation of hyperchaotic systems is a new field of nonlinear scientific research.It is often implement through a linear controller in most cases.In this paper,the Hopf bifurcation behaviors of a four-dimensional hyper chaotic system are studied,and the relationships between the bifurcation characteristics and parameters are obtained by using the high dimensional bifurcation theory,to determine the bifurcation type of the system.Then a combined linear and nonlinear controller is designed for anti-control of bifurcation.At different control parameter values,the systems exhibits different bifurcation characteristics.The results show that through changing the linear controller parameters,the system Hopf bifurcation can be moved forward or delayed.Through changing two controller parameters,Hopf bifurcation characteristics of the system can be modified to achieve anti-control of bifurcation. |