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Homoclinic orbits for first order Hamiltonian systems. (English) Zbl 0818.34023

Authors’ abstract: “We establish the existence of homoclinic orbits for a class of first-order time dependent Hamiltonian systems, \(z'= JH_ z(t, z)\), without any periodicity assumption on \(H\)”.
Reviewer: J.Andres (Olomouc)

MSC:

34C37 Homoclinic and heteroclinic solutions to ordinary differential equations
37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
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