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- W2003287025 abstract "We consider Hamiltonian systems with two degrees of freedom. We suppose the existence of a saddle-center equilibrium in a strictly convex component S of its energy level. Moser's normal form for such equilibriums and a theorem of Hofer, Wysocki and Zehnder are used to establish the existence of a periodic orbit in S with several topological properties. We also prove the explosion of the Conley–Zehnder index of any periodic orbit that passes close to the saddle-center equilibrium." @default.
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- W2003287025 date "2006-01-01" @default.
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- W2003287025 title "The Conley–Zehnder index and the saddle-center equilibrium" @default.
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- W2003287025 doi "https://doi.org/10.1016/j.jde.2005.03.015" @default.
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