The shadowing chain lemma for singular Hamiltonian systems involving strong forces

• Autorzy: Marek Izydorek , Joanna Janczewska
• Języki publikacji: EN

Abstrakty

EN

We consider a planar autonomous Hamiltonian system :q+∇V(q) = 0, where the potential V: ℝ2 \{ζ}→ ℝ has a single well of infinite depth at some point ζ and a strict global maximum 0at two distinct points a and b. Under a strong force condition around the singularity ζ we will prove a lemma on the existence and multiplicity of heteroclinic and homoclinic orbits - the shadowing chain lemma - via minimization of action integrals and using simple geometrical arguments.

Słowa kluczowe

EN

Heteroclinic orbit; Homoclinic orbit; Rotation number (winding number); Shadowing chain lemma; Singular Hamiltonian systems; Strong force

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 6
• Strony: 1928-1939

Daty

wydano

2012-12-01

online

2012-10-12

Twórcy

autor

Marek Izydorek

• Faculty of Technical Physics and Applied Mathematics, Gdańsk University of Technology, Narutowicza 11/12, 80-233, Gdańsk, Poland,

autor

Joanna Janczewska

• Faculty of Technical Physics and Applied Mathematics, Gdańsk University of Technology, Narutowicza 11/12, 80-233, Gdańsk, Poland,

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-012-0107-6