Repozytorium publikacji - Politechnika Gdańska

We are concerned with a planar autonomous Hamiltonian system with a potential possessing a single well of infinite depth at a point X and a unique strict global maximum 0 at a point A. Under a strong force condition around the singularity X, via minimization of an action integral and using a shadowing chain lemma together with simple geometrical arguments, we prove the existence of infinitely many geometrically distinct homoclinic (to A) solutions.

Autorzy

• prof. dr hab. Marek Izydorek link otwiera się w nowej karcie ,
• prof. dr hab. Joanna Janczewska link otwiera się w nowej karcie