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Title: Generalized Henon maps: the cubic diffeomorphisms of the plane
Authors: Dullin, Holger R.
Meiss, J.D.
Keywords: Polynomial diffeomorphisms
Jacobian conjecture
Bifurcations
Anti-integrable limits
Issue Date: 1999
Abstract: 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, area-preserving case, which reduces to two, two-parameter families of maps. The bifurcations of low period orbits of these maps are discussed in detail.
Description: This is a pre-print. The definitive version: DULLIN, H.R. and MEISS, J.D., 2000. Generalized Henon maps: the cubic diffeomorphisms of the plane. Physica D - Nonlinear Phenomena, 143 (1-4), pp.262-289, is available at: http://www.sciencedirect.com/science/journal/01672789.
URI: https://dspace.lboro.ac.uk/2134/845
Appears in Collections:Pre-prints (Maths)

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