Periodic, quasi-periodic and unbounded solutions of radially symmetric systems with repulsive singularities at resonance

DOI10.1007/s00030-015-0316-3zbMath1330.34069OpenAlexW2012884452MaRDI QIDQ745898

Qihuai Liu, Pedro J. Torres, Qian, Dingbian

Publication date: 15 October 2015

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-015-0316-3

zbMATH Keywords

periodic solutionsresonanceisochronous system

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (9)

Stability and exact periodic solutions of indefinite equations arising from the Kepler problem on the sphere ⋮ Radially stable periodic solutions for radially symmetric Keplerian-like systems ⋮ Existence and multiplicity of periodic solutions for a nonlinear resonance equation with singularities ⋮ Periodic and quasi-periodic solutions of a four-dimensional singular differential system describing the motion of vortices ⋮ Radial stability of periodic orbits of damped Keplerian-like systems ⋮ Periodic orbits for radially symmetric systems with singularities and semilinear growth ⋮ Periodic solutions of singular second order equations at resonance ⋮ Periodic solutions of an indefinite singular planar differential system ⋮ Unbounded solutions to systems of differential equations at resonance

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