Multibump solutions for an almost periodically forced singular Hamiltonian system. (English) Zbl 0828.34034

Summary: This paper uses variational methods to establish the existence of so-called multibump homoclinic solutions for a family of singular Hamiltonian systems in \(\mathbb R^2\) which are subjected to almost periodic forcing in time.


34C37 Homoclinic and heteroclinic solutions to ordinary differential equations
90C99 Mathematical programming
58E99 Variational problems in infinite-dimensional spaces
37J45 Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods (MSC2010)
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