Homoclinic orbits for a class of singular second order Hamiltonian systems in \(\mathbb R^{3}\)

DOI10.2478/S11533-012-0096-5zbMath1261.34037OpenAlexW2050910139MaRDI QIDQ1935671

Joanna Janczewska, Jakub Maksymiuk

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/s11533-012-0096-5

zbMATH Keywords

homoclinic orbitrotation numberstrong force

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (5)

Homoclinics for singular strong force Lagrangian systems in \(\mathbb{R}^N\) ⋮ 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

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• Multiple homoclinic solutions for a class of autonomous singular systems in \(\mathbb{R}^2\)
• Homoclinics for an almost periodically forced singular Hamiltonian system
• Homoclinic solutions for a class of the second order Hamiltonian systems
• 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

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