Sd. Prado et Mam. Deaguiar, EFFECTS OF SYMMETRY BREAKDOWN IN THE BIFURCATIONS OF PERIODIC-ORBITS OF A NONINTEGRABLE HAMILTONIAN SYSTEM, Annals of physics, 231(2), 1994, pp. 290-310
In this work we study numerically the breakdown of discrete symmetries
in a Hamiltonian system with two degrees of freedom. The initial Hami
ltonian is invariant under time-reversal (t --> -t) and reflexion thro
ugh an axis (x --> -x). These symmetries are then broken by the insert
ion of a magnetic field and a term of the form gammax3. The effects of
these perturbations are studied in terms of Poincare sections and per
iodic orbits. (C) 1994 Academic Press, Inc.