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Universal metric properties of bifurcations of endomorphisms

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Published under licence by IOP Publishing Ltd
, , Citation B Derrida et al 1979 J. Phys. A: Math. Gen. 12 269 DOI 10.1088/0305-4470/12/3/004

0305-4470/12/3/269

Abstract

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.

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10.1088/0305-4470/12/3/004