UNIVERSAL METRIC PROPERTIES OF BIFURCATIONS OF ENDOMORPHISMS

UNIVERSAL METRIC PROPERTIES OF BIFURCATIONS OF ENDOMORPHISMS
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DOI:
10.1088/0305-4470/12/3/004
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发表时间:
1979-01-01
期刊:
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
影响因子:
--
通讯作者:
POMEAU, Y
POMEAU, Y
中科院分区:
其他
文献类型:
--
作者:
DERRIDA, B;GERVOIS, A;POMEAU, Y

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具有一个极值的真实的轴的自同态具有一些普适的度量性质,这些性质仅依赖于它们在极值(分支速度、约化参数)附近的解析依赖性。它示出了这个问题是如何类似于重整化问题,以及如何分叉速度可能来自一个不动点理论。
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.