Periodic orbits in a dynamical system with three degrees of freedom

DOI10.1007/BF01844228zbMath0568.34030OpenAlexW2053730807MaRDI QIDQ3684446

Emmanuel Davoust

Publication date: 1983

Published in: Celestial Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01844228

zbMATH Keywords

numerical resultsthree-dimensional harmonic oscillatorLindstedt's method

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Celestial mechanics (70F15)

Related Items (2)

Periodic orbits in a two-dimensional galactic potential ⋮ Periodic orbits

Cites Work

• Computerized formal solutions of dynamical systems with two degrees of freedom and an application to the Contopoulos potential. I: The exact resonance case
• Computerized formal solutions of dynamic systems with two degrees of freedom and an application to the Contopoulos potential. II: The near- resonance case
• Periodic orbits in a two-dimensional galactic potential
• On the number of isolating integrals in resonant systems with 3 degrees of freedom
• Numerical study of periodic orbit properties in a dynamical system with three degrees of freedom

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