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Multichain-type solutions for Hamiltonian systems. (English) Zbl 0973.37040

Summary: The existence of basic and more complicated multichain heteroclinic solutions is established for a class of forced slowly oscillating Hamiltonian systems. Constrained minimization arguments are the key tool in obtaining the results.

MSC:

37J45 Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods (MSC2010)
34C37 Homoclinic and heteroclinic solutions to ordinary differential equations
37J50 Action-minimizing orbits and measures (MSC2010)
58E99 Variational problems in infinite-dimensional spaces
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