Periodic solutions for the 4:1:4 resonance in 3-DOF Hamiltonian systems

Details Periodic solutions for the 4:1:4 resonance in 3-DOF Hamiltonian systems Periodic solutions for the 4:1:4 resonance in 3-DOF Hamiltonian systems

Mar 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990cemda..48...45s&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 48, no. 1, 1990, p. 45-55. In French.

Statistics

Computation

Hamiltonian Functions, Orbital Resonances (Celestial Mechanics), Periodic Functions, Computational Astrophysics, Degrees Of Freedom, Resonant Vibration

Scientific paper

The existence of periodic solutions for coupled oscillators with resonance 4:1:4 are investigated. The theoretical results allow the prediction of a periodic solution for mu less than mu0, where mu is the parameter describing the coupling, and two distinct periodic trajectories if mu is greater than or equal to 0 and less than or equal to mu1, which is less than mu0. The evaluation of mu1 and mu0 depends on the energy of the system.

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