منابع مشابه
Feigenbaum Networks
We study dynamical systems composed of a set of coupled quadratic maps which, if uncoupled, would be on the Feigenbaum accumulation point. For two units we prove the existence of an infinite number of sinks for an open set of coupling parameters. In the limit of many units a mean field analysis also implies the stabilization in periodic orbits of, at least, a subset of the coupled units. Possib...
متن کاملGeometry of the Feigenbaum Map
We show that the Feigenbaum-Cvitanović equation can be interpreted as a linearizing equation, and the domain of analyticity of the Feigenbaum fixed point of renormalization as a basin of attraction. There is a natural decomposition of this basin which enables to recover a result of local connectivity by Jiang and Hu for the Feigenbaum Julia set.
متن کاملMcQuatt Fraser Mitchell
This document gives brief descriptions for a number of Machine Discovery and Knowledge Based Refinement Systems which have recently been developed. Further, it gives an indication of their application domains. The systems described are: DaViCAND, MedMine, REFINER+, RETAX, STALKER and TIGON. Principal Contact: Professor Derek Sleeman Phone: +44(0)1224 272288 Fax: +44(0)1224 273422 email: dsleema...
متن کاملOn the statistical analysis of Feigenbaum constants
We present statistical analysis of blocks in the binary expansions of Feigenbaum constants a and d for the logistic map. The analysis is carried out on both 1016 and 3400 bit expansions. A w test is applied for lumping data and a serial test is applied on gliding data. Contrary to a previous research by Karamanos and Kotsireas, our test results did not indicate any evidence to reject randomness...
متن کاملA Precise Calculation of the Feigenbaum Constants
The Feigenbaum constants arise in the theory of iteration of real functions. We calculate here to high precision the constants a and S associated with period-doubling bifurcations for maps with a single maximum of order z , for 2 < z < 12. Multiple-precision floating-point techniques are used to find a solution of Feigenbaum's functional equation, and hence the constants. 1. History Consider th...
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ژورنال
عنوان ژورنال: Notices of the American Mathematical Society
سال: 2021
ISSN: 0002-9920,1088-9477
DOI: 10.1090/noti2283