Extensions of Hénon maps to the closed 4-ball
2000 ◽
Vol 20
(5)
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pp. 1319-1334
Any polynomial automorphism of $\mathbb{C}^2$ with nontrivial dynamics is conjugate to a diffeomorphism of the 4-ball such that this diffeomorphism extends to a diffeomorphism of the closed 4-ball. Moreover, the conjugating map is a smooth bijection of $\mathbb{C}^2$ to itself. On the sphere at infinity, the extension has an attracting and a repelling solenoid, and the dynamics near these invariant solenoids are described by conjugation to a model solenoidal map.
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2002 ◽
Vol 11
(3)
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pp. 339-347
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2000 ◽
Vol 143
(1-4)
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pp. 262-289
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2018 ◽
Vol 28
(4)
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pp. 043123
2007 ◽
Vol 56
(6)
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pp. 2739-2762
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