Computerized formal solutions of dynamic systems with two degrees of freedom and an application to the Contopoulos potential. II: The near- resonance case

DOI10.1016/0898-1221(81)90031-6zbMath0471.70026OpenAlexW4213369278MaRDI QIDQ1157981

W. H. Presler, Roger A. Broucke

Publication date: 1981

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(81)90031-6

zbMATH Keywords

periodic solutionsbifurcationnear-resonance casecomputerized formal solutionsContopoulos potentialLindstedt-Poincareperturbed oscillatordynamic systems with two degrees of freedomfourth order terms

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Nonlinear dynamics in mechanics (70K99)

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Periodic orbits in analytical planar galactic potentials ⋮ Periodic orbits in a two-dimensional galactic potential ⋮ Periodic orbits ⋮ Periodic orbits in a dynamical system with three degrees of freedom

Cites Work

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• Computerized formal solutions of dynamical systems with two degrees of freedom and an application to the Contopoulos potential. I: The exact resonance case
• Discrete symmetric dynamical systems at the main resonances with application to axi-symmetric galaxies
• Higher order resonances in dynamical systems

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