Reversible polynomial automorphisms of the plane: the involutory case
نویسنده
چکیده
Planar polynomial automorphisms are polynomial maps of the plane whose inverse is also a polynomial map. A map is reversible if it is conjugate to its inverse. Here we obtain a normal form for automorphisms that are reversible by an involution that is also in the group of polynomial automorphisms. This form is a composition of a sequence of generalized Hénon maps together with two simple involutions. We show that the coefficients in the normal form are unique up to finitely many choices. 2003 Elsevier Science B.V. All rights reserved. PACS: 05.45.Ac; 45.20.Jj; 47.52.+j
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