| Saddle-nodes and period-doublings of Smale horseshoes: A case study near resonant homoclinic bellows (2008) | |||||||
Abstract | |||||||
| In unfoldings of resonant homoclinic bellows interesting bifurcation phenomena occur: two suspensed Smale horseshoes can collide and disappear in saddle-node bifurcations (all periodic orbits disappear through saddle-node bifurcations, there are no other bifurcations of periodic orbits), or a suspended horseshoe can go through saddle-node and period-doubling bifurcations of the periodic orbits in it to create an additional "doubled horseshoe". | |||||||
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