Generalized Henon maps: the cubic diffeomorphisms of the plane

In general a polynomial automorphism of the plane can be written as a composition of generalized Henon maps. These maps exhibit some of the familiar properties of the quadratic Henon map, including a bounded set of bounded orbits and an anti-integrable limit. We investigate in particular the cubic,...

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Bibliographic Details

Main Authors:	Holger R. Dullin, J.D. Meiss
Format:	Default Preprint
Published:	1999
Subjects:	Other mathematical sciences not elsewhere classified Polynomial diffeomorphisms Jacobian conjecture Bifurcations Anti-integrable limits Mathematical Sciences not elsewhere classified
Online Access:	https://hdl.handle.net/2134/845
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