Periodic Orbits of Radially Symmetric Systems with a Singularity: the Repulsive Case

DOI10.1515/ans-2011-0405zbMath1241.34048OpenAlexW2513551908MaRDI QIDQ3099681

Rodica Toader, Alessandro Fonda

Publication date: 1 December 2011

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2011-0405

zbMATH Keywords

periodic solutiontopological degree theoryradially symmetric system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Applications of operator theory to differential and integral equations (47N20)

Related Items (17)

Radially stable periodic solutions for radially symmetric Keplerian-like systems ⋮ Periodic orbits of radially symmetric Keplerian-like systems with a singularity ⋮ Periodic orbits of a singular superlinear planar system ⋮ On a singular periodic Ambrosetti-Prodi problem ⋮ Radial periodic perturbations of the Kepler problem ⋮ Periodic solutions of singular radially symmetric systems with superlinear growth ⋮ Periodic and quasi-periodic solutions of a four-dimensional singular differential system describing the motion of vortices ⋮ Radially symmetric systems with a singularity and asymptotically linear growth ⋮ Periodic solutions of radially symmetric perturbations of Newtonian systems ⋮ Radial stability of periodic solutions of the Gylden-Meshcherskii-type problem ⋮ Radial stability of periodic orbits of damped Keplerian-like systems ⋮ Periodic orbits for radially symmetric systems with singularities and semilinear growth ⋮ Applications of Schauder's fixed point theorem to singular radially symmetric systems ⋮ From isochronous potentials to isochronous systems ⋮ Periodic, quasi-periodic and unbounded solutions of radially symmetric systems with repulsive singularities at resonance ⋮ Positive periodic solutions for planar differential systems with repulsive singularities on the axes ⋮ Periodic solutions of an indefinite singular planar differential system

Cites Work

• Periodic, subharmonic, and quasi-periodic oscillations under the action of a central force
• Non-collision periodic solutions of second order singular dynamical systems
• Forced singular oscillators and the method of lower and upper solutions
• Non-collision periodic solutions of forced dynamical systems with weak singularities
• On forced dynamical systems with a singularity of repulsive type
• Dynamical systems with effective-like potentials
• Continuation Theorems for Periodic Perturbations of Autonomous Systems
• CONTINUATION THEOREMS FOR AMBROSETTI-PRODI TYPE PERIODIC PROBLEMS
• On Periodic Solutions of Nonlinear Differential Equations with Singularities
• Periodic solutions for a conservative system of differential equations with a singularity of repulsive type

This page was built for publication: Periodic Orbits of Radially Symmetric Systems with a Singularity: the Repulsive Case