An approximative method of finding almost homoclinic solutions for Hamiltonian systems

Speaker(s)

Joanna Janczewska

Affiliation

Politechnika Gdańska

Date

Jan. 22, 2010, 10:15 a.m.

Room

room 5840

Seminar

Seminar of Dynamical Systems Group

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In this lecture, we shall be concerned with the existence of almost homoclinic solutions for Hamiltonian systems. Namely, a certain approximative method of finding almost homoclinic solutions for a class of second order Hamiltonian systems will be described. By the use of this method, an almost homoclinic solution is obtained as a limit of periodic solutions of a sequence of second order differential equations. Finally, an example of a variational nature will be given.

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