Computation of periodic solutions in perturbed second-order ODEs
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Publication:941489
DOI10.1016/j.amc.2007.12.065zbMath1147.65054OpenAlexW2084683781MaRDI QIDQ941489
Publication date: 1 September 2008
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2007.12.065
Symbolic computation and algebraic computation (68W30) Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)
Related Items (2)
The asymptotic expansion method via symbolic computation ⋮ Periodic orbits of the fourth-order non-autonomous differential equation \(u'+qu+pu=\varepsilon F(t,u,u',u,u)\)
Cites Work
- On Linstedt-Poincaré techniques for the quintic Duffing equation
- Periodic orbits in analytical planar galactic potentials
- An elliptic Lindstedt-Poincaré method for certain strongly nonlinear oscillators
- Stability of axial orbits in analytical galactic potentials
- On the implementation of the Poincaré-Lindstedt technique
- Comparison of two Lindstedt–Poincaré-type perturbation methods
- Tail resonances of Fermi-Pasta-Ulam q-breathers and their impact on the pathway to equipartition
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