Saddle-nodes and period-doublings of Smale horseshoes: a case study near resonant homoclinic bellows (Q2519142)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Saddle-nodes and period-doublings of Smale horseshoes: a case study near resonant homoclinic bellows |
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Saddle-nodes and period-doublings of Smale horseshoes: a case study near resonant homoclinic bellows (English)
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22 January 2009
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The resonant homoclinic bellows is an organizing center for various bifurcation phenomena: two suspended Smale horseshoe which can collide through collisions of periodic orbit from one horseshoe with periodic orbits from the other horseshoe in saddle-node bifurcations; suspended horseshoe, where the periodic orbits appear through saddle-node bifurcation alone or period-doubling bifurcation to an additional doubled horseshoe.
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homoclinic loop
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horseshoe
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bifurcation
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