Renormalization in the golden-mean semi-Siegel Hénon family: universality and non-rigidity
نویسندگان
چکیده
منابع مشابه
A ug 2 00 5 RENORMALIZATION IN THE HÉNON FAMILY , I : UNIVERSALITY BUT NON - RIGIDITY
In this paper geometric properties of infinitely renormalizable real Hénon-like maps F in R 2 are studied. It is shown that the appropriately defined renormalizations R n F converge exponentially to the one-dimensional renormalization fixed point. The convergence to one-dimensional systems is at a super-exponential rate controlled by the average Jacobian and a universal function a(x). It is als...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2018
ISSN: 0143-3857,1469-4417
DOI: 10.1017/etds.2018.83