Fixed points of elliptic reversible transformations with integrals
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AbstractWe show that for a certain family of integrable reversible transformations, the curves of periodic points of a general transformation cross the level curves of its integrals. This leads to the divergence of the normal form for a general reversible transformation with integrals. We also study the integrable holomorphic reversible transformations coming from real analytic surfaces in ℂ2 with non-degenerate complex tangents. We show the existence of real analytic surfaces with hyperbolic complex tangents, which are contained in a real hyperplane, but cannot be transformed into the Moser—Webster normal form through any holomorphic transformation.
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2019 ◽
Vol 2019
(749)
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pp. 201-225
2020 ◽
Vol 2020
(765)
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pp. 205-247
1994 ◽
Vol 37
(4)
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pp. 549-551
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2007 ◽
Vol 332
(1)
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pp. 315-333
2016 ◽
Vol 37
(7)
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pp. 2131-2162
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