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Twist periodic solutions of second order singular differential equations |
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| Authors: | Jifeng Chu Ming Li |
| Institution: | a Department of Mathematics, College of Science, Hohai University, Nanjing 210098, China b Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China |
| Abstract: | We study the twist periodic solutions of second order singular differential equations. Such twist periodic solutions are stable in the sense of Lyapunov and present much interesting dynamical features around them. The proof is based on the third-order approximation method. The estimates of periodic solutions of Ermakov-Pinney equations and the estimates on rotation numbers of Hill equations play an important role in the analysis. |
| Keywords: | Twist periodic solutions Singular equations Third-order approximation |
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