The shadowing chain lemma for singular Hamiltonian systems involving strong forces

DOI10.2478/S11533-012-0107-6zbMath1269.37015OpenAlexW2084388368WikidataQ124814817 ScholiaQ124814817MaRDI QIDQ1935672

Marek Izydorek, Joanna Janczewska

Publication date: 18 February 2013

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-012-0107-6

zbMATH Keywords

heteroclinic orbithomoclinic orbitsingular Hamiltonian systemsstrong forcerotation number (winding number)shadowing chain lemma

Mathematics Subject Classification ID

Hamilton's equations (70H05) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (6)

Homoclinics for singular strong force Lagrangian systems in \(\mathbb{R}^N\) ⋮ Connecting orbits for a periodically forced singular planar Newtonian system ⋮ Homoclinic solutions for a class of second order nonautonomous singular Hamiltonian systems ⋮ Homoclinics for singular strong force Lagrangian systems ⋮ Homoclinic orbits for an almost periodically forced singular Newtonian system in R³ ⋮ Two families of infinitely many homoclinics for singular strong force Hamiltonian systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homoclinic orbits for a singular second order Hamiltonian system
• Periodic and heteroclinic orbits for a periodic Hamiltonian system
• Heteroclinic solutions for a class of the second order Hamiltonian systems
• Homoclinics and heteroclinics for a class of conservative singular Hamiltonian systems
• Multiple homoclinic solutions for a class of autonomous singular systems in \(\mathbb{R}^2\)
• Heteroclinic and homoclinic solutions for a singular Hamiltonian system
• Conservative Dynamical Systems Involving Strong Forces
• Multiplicity of homoclinic solutions for singular second-order conservative systems

This page was built for publication: The shadowing chain lemma for singular Hamiltonian systems involving strong forces