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摘要
The existence of homoclinic orbit to a saddle focus point for third-order ODE systems is studied in this paper. Through a discussion on the absence of homoclinic orbit, we obtain the necessary condition for the coexistence of homoclinic orbit and saddle focus point for such systems. Some properties of the homoclinic orbit are also exposed. An example from Sprott systems is given to show the application of the results. Finally, a conclusion and a problem are proposed.
- 出版日期2013-6
- 单位中山大学
