Twist character of the fourth order resonant periodic solution

DOI10.1007/S10884-005-2937-4zbMath1098.34043OpenAlexW2100543073MaRDI QIDQ2570843

Meirong Zhang, Pedro J. Torres, Jinzhi Lei

Publication date: 28 October 2005

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-005-2937-4

zbMATH Keywords

strong resonanceforced pendulumtwist periodic solution

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)

Related Items (8)

Existence and stability of periodic solutions for a forced pendulum with time-dependent damping ⋮ Radially stable periodic solutions for radially symmetric Keplerian-like systems ⋮ Lyapunov stability of periodic solutions of the quadratic Newtonian equation ⋮ Lyapunov stability of elliptic periodic solutions of nonlinear damped equations ⋮ Stable periodic solutions in the forced pendulum equation ⋮ Radial stability of periodic solutions of the Gylden-Meshcherskii-type problem ⋮ Stable and unstable periodic solutions of the forced pendulum of variable length ⋮ Existence and stability of periodic oscillations of a rigid dumbbell satellite around its center of mass

Cites Work

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