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Universal metric properties of bifurcations of endomorphisms

1979; Institute of Physics; Volume: 12; Issue: 3 Linguagem: Inglês

10.1088/0305-4470/12/3/004

1361-6447

Bernard Derrida, A Grevois, Yves Pomeau,

Mathematical Dynamics and Fractals

Endomorphisms of the real axis with one extremum have some universal metric properties which depend only on their analytic dependence near the extremum (bifurcation velocity, reduction parameter). It is shown how this problem is similar to the renormalisation problem, and how the bifurcation velocity may be derived from a fixed-point theory.