## 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.

### MSC:

 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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