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Quadratic polynomial automorphisms of dynamical degree golden ratio of [Copf ]3
Published online by Cambridge University Press: 04 June 2001
Abstract
The dynamics of a shift-like mapping f(x,y,z)=(y,z,yz+by+cz+dx+e) (d≠0) is studied, which is one of the normal forms of irregular quadratic polynomial automorphisms of [Copf ]3. It is shown that f has Green functions G±(x,y,z) associated to the dynamical degree of f. To obtain them, we consider a sort of filtration property.
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- 2001 Cambridge University Press
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