Nonlinear dynamics of differential equations with attractive–repulsive singularities and small time‐dependent coefficients

DOI10.1002/mma.2594zbMath1264.34082OpenAlexW2053532594MaRDI QIDQ4907186

Qihuai Liu, Qian, Dingbian

Publication date: 31 January 2013

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2594

zbMATH Keywords

periodic solutionsaveraging methodsingular equationsnonlinear dynamic

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Averaging method for ordinary differential equations (34C29)

Related Items (8)

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 ⋮ On the periodic orbits of four-particle time-dependent FPU chains ⋮ Lyapunov stability of singular planarsystems related to dispersion-managedsolitons in optical fiber ⋮ Radial stability of periodic solutions of the Gylden-Meshcherskii-type problem ⋮ Radial stability of periodic orbits of damped Keplerian-like systems ⋮ Twist periodic solutions for differential equations with a combined attractive-repulsive singularity ⋮ Lyapunov stability of periodic solutions of Brillouin type equations

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