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Periodic and heteroclinic orbits for a periodic Hamiltonian system. (English) Zbl 0701.58023
Der Autor betrachtet Hamiltonsche Systeme der Form $(1)\quad \ddot q+V'(q)=0,$ wobei $q=(q\sb 1,...,q\sb n)$ und V periodisch in $q\sb i$, $1\le i\le n$, ist. Es werden Kriterien angegeben, unter denen das System (1) nicht konstante periodische Lösungen besitzt, und die Form der Trajektorien in der Nähe von Maxima der Funktion V werden untersucht.
Reviewer: W.Wendt

37J99Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
37G99Local and nonlocal bifurcation theory
34C25Periodic solutions of ODE
58E05Abstract critical point theory
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