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arXiv · 1910.08204

An spectral condition for global equivalence of planar maps

Roland Rabanal
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Abstract

It is demonstrated that a C^1-unipotent map is globally equivalent to the linear translation T(x,y)=(x+1,y), if the map is fixed point free Similarly, it is proved not only that the fixed point set induced by a C^1-unipotent has no isolated elements, but that a $C^1-$unipotent map has no periodic points. The relation with the existence of global attractors in R^2, by using a global bifurcation on unipotent maps, is also studied.

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Roland Rabanal. 2019-10-18. An spectral condition for global equivalence of planar maps. https://arxiv.org/abs/1910.08204

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