Bifurcations of periodic solutions of delay differential equations |
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Authors: | Maoan Han |
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Institution: | Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200030, People's Republic of China |
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Abstract: | In this paper we develop Kaplan-Yorke's method and consider the existence of periodic solutions for some delay differential equations. We especially study Hopf and saddle-node bifurcations of periodic solutions with certain periods for these equations with parameters, and give conditions under which the bifurcations occur. We also give application examples and find that Hopf and saddle-node bifurcations often occur infinitely many times. |
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Keywords: | Delay differential equation Periodic solution Bifurcation |
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