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''.
Citation
Ale Jan Homburg. Alice C. Jukes. Jürgen Knobloch. Jeroen S.W. Lamb. "Saddle-nodes and period-doublings of Smale horseshoes: a case study near resonant homoclinic bellows." Bull. Belg. Math. Soc. Simon Stevin 15 (5) 833 - 850, December 2008. https://doi.org/10.36045/bbms/1228486411
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