abstract

• We present a detailed analysis of the orbital stability of the Pais-Uhlenbeck oscillator, using Lie-Deprit series and Hamiltonian normal form theories. In particular, we explicitly describe the reduced phase space for this Hamiltonian system and give a proof for the existence of stable orbits for a certain class of self-interaction, found numerically in previous studies, by using singular symplectic reduction. © 2017 Author(s).

authors

• Avendaño-Camacho M.
• Vallejo Rodríguez José Antonio
• Vorobjev Y.

publication date

• 2017-01-01

published in

• Journal of Mathematical Physics  Journal

Digital Object Identifier (DOI)

• 10.1063/1.5000382

start page

end page

volume

• 58

issue

• 9