A natural horseshoe-breaking family which has a period doubling bifurcation as the first bifurcation (Q1127108)
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scientific article; zbMATH DE number 1189514
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A natural horseshoe-breaking family which has a period doubling bifurcation as the first bifurcation |
scientific article; zbMATH DE number 1189514 |
Statements
A natural horseshoe-breaking family which has a period doubling bifurcation as the first bifurcation (English)
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3 May 2000
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The author constructs a one parameter family of planar diffeomorphisms of the form \(F_t = y_t \circ F\) with \(y_t(x,y) = (x,ty)\), so that for \(t\) large enough, \(F_t\) possesses an affine horseshoe on \([0,1]\times [0,1]\) and the last occurring bifurcation is a period doubling bifurcation.
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planar diffeomorphisms
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bifurcation
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period doubling bifurcation
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