Newhouse Laminations
Newhouse laminations occur in unfoldings of rank-one homoclinic tangencies. Namely, in these unfoldings, there exist codimension $2$ laminations of maps with infinitely many sinks which move simultaneously along the leaves. As consequence, in the space of real polynomial maps, there are examples of:...
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Main Authors | , , |
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Format | Journal Article |
Language | English |
Published |
01.11.2018
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Subjects | |
Online Access | Get full text |
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Summary: | Newhouse laminations occur in unfoldings of rank-one homoclinic tangencies.
Namely, in these unfoldings, there exist codimension $2$ laminations of maps
with infinitely many sinks which move simultaneously along the leaves. As
consequence, in the space of real polynomial maps, there are examples of:
H\'enon maps, in any dimension, with infinitely many sinks, quadratic
H\'enon-like maps with infinitely many sinks and a period doubling attractor,
quadratic H\'enon-like maps with infinitely many sinks and a strange attractor,
non trivial analytic families of polynomial maps with infinitely many sinks. |
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DOI: | 10.48550/arxiv.1811.00617 |