Hopf bifurcation of the third-order Hénon system based on an explicit criterion |
| |
| Authors: | Enying Li Guangyao LiGuilin Wen Hu Wang |
| |
| Affiliation: | The State Key Laboratory of Advanced Technology for Vehicle Design and Manufacture, College of Mechanical and Automotive Engineering, Hunan University, Hunan Changshai 410082, China |
| |
| Abstract: | In this paper, Hopf bifurcation of the third-order Hénon system is studied via a simple explicit criterion, which is derived from the Schur–Cohn Criterion. Moreover stability of Hopf bifurcation is also investigated by using the normal form method and center manifold theory for the discrete time system developed by Kuznetsov. Test results containing simulations and circuit measurement are shown to demonstrate that the criterion is correct and feasible. |
| |
| Keywords: | Hopf bifurcation Explicit criterion Stability Hé non map Circuit implementation Simulation Limit cycle |
| 本文献已被 ScienceDirect 等数据库收录！ |
