Subcontinua of the closure of the unstable manifold at a homoclinic tangency
1999 ◽
Vol 19
(2)
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pp. 289-307
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Keyword(s):
Open Set
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Suppose that $F$ is a $C^\infty$ diffeomorphism of the plane with hyperbolic fixed point $p$ for which a branch of the unstable manifold, $W^u_+(p)$, has a same-sided quadratic tangency with the stable manifold, $W^s(p)$. If the eigenvalues of $DF$ at $p$ satisfy a non-resonance condition, each nonempty open set of $ \cl( W^u_+(p))$ contains a copy of any continuum that can be written as the inverse limit space of a sequence of unimodal bonding maps.
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1995 ◽
Vol 15
(6)
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pp. 1045-1059
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Keyword(s):
2016 ◽
Vol 38
(4)
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pp. 1499-1524
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Keyword(s):
2000 ◽
Vol 21
(01)
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pp. 25-32
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Keyword(s):
1990 ◽
Vol 10
(4)
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pp. 793-821
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