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- W1997619979 abstract "We are concerned with a planar autonomous Hamiltonian system $${ddot{q} +nabla V (q)=0}$$ , where a potential $${V : mathbb{R}^2 backslash {xi}rightarrow mathbb{R}}$$ has a single well of infinite depth at a point $${xi}$$ and a unique strict global maximum 0 at a point a. Under a strong force condition around the singularity $${xi}$$ , via minimization of an action integral and using a shadowing chain lemma together with simple geometrical arguments, we prove the existence of infinitely many homotopy classes of $${pi_1(mathbb{R}^2 backslash {xi})}$$ containing at least two geometrically distinct homoclinic (to a) solutions." @default.
- W1997619979 created "2016-06-24" @default.
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- W1997619979 date "2014-12-01" @default.
- W1997619979 modified "2023-10-14" @default.
- W1997619979 title "Two families of infinitely many homoclinics for singular strong force Hamiltonian systems" @default.
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- W1997619979 doi "https://doi.org/10.1007/s11784-015-0212-9" @default.
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