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From transverse heteroclinic cycles to transverse homoclinic orbits. (English) Zbl 1116.34039
Summary: There is shown the existence of transversal homoclinic orbits for a sequence of periodic ordinary differential equations which has a limiting periodic ordinary differential equation with a transversal heteroclinic cycle.
34C37 Homoclinic and heteroclinic solutions to ordinary differential equations
37B55 Topological dynamics of nonautonomous systems
37C29 Homoclinic and heteroclinic orbits for dynamical systems
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