Fig. 7.4 On the left [right]: supercritical [subcritical] saddle-centre bifurcation, Eq. (7.65)
[Eq. (7.66)], for l ¼ À1; 0; þ 1, from top to bottom. Regular orbits are blue. The homoclinic
trajectories through saddle points and the trajectories joining at the cusp, i.e., at the degenerate
critical point corresponding to the bifurcation, are red
172
P. Lazzeretti
[Eq. (7.66)], for l ¼ À1; 0; þ 1, from top to bottom. Regular orbits are blue. The homoclinic
trajectories through saddle points and the trajectories joining at the cusp, i.e., at the degenerate
critical point corresponding to the bifurcation, are red
172
P. Lazzeretti