Bifurcations in a non-symmetric cubic potential.

Details Bifurcations in a non-symmetric cubic potential. Bifurcations in a non-symmetric cubic potential.

Aug 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995a%26a...300..722e&link_type=abstract

Astronomy and Astrophysics, v.300, p.722

Astronomy and Astrophysics

Astrophysics

9

Galaxy: Kinematics And Dynamics, Stellar Dynamics, Celestial Mechanics

Scientific paper

For a Hamiltonian corresponding to a perturbed couple of harmonic oscillators -but without symmetries- we obtain the evolution phase flow of the reduced Hamiltonian. The loss of symmetry produces a bifurcation that does not appear in the symmetric case, namely, one where a stable point crosses an unstable point yielding a cusp in the level curve. This result may be considered as a warning to some of the conclusions derived in galactic dynamics from too symmetric Hamiltonian.

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