Transversal homoclinics in nonlinear systems of ordinary differential equations

M. Feckan, Comenius University, Bratislava, Slovakia

E. J. Qualitative Theory of Diff. Equ., Proc. 6'th Coll. Qualitative Theory of Diff. Equ., No. 9. (2000), pp. 1-8.

Communicated by L. Hatvani. Appeared on 2000-01-01

Abstract: Bifurcation of transversal homoclinics is studied for a pair of ordinary differential equations with periodic perturbations when the first unperturbed equation has a manifold of homoclinic solutions and the second unperturbed equation is vanishing. Such ordinary differential equations often arise in perturbed autonomous Hamiltonian systems.

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