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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
Generalized Dimensions of Feigenbaum's Attractor from Renormalization-Group Functional Equations
S. P. Kuznetsova, A. H. Osbaldestinb a Institute of Radio-Electronics,
Russian Academy of Sciences,
Zelenaya 38, Saratov 410019, Russian Federation
b Department of Mathematical Sciences,
Loughborough University,
Loughborough, LE11 3TU, UK
Аннотация:
A method is suggested for the computation of the generalized dimensions of fractal attractors at the period-doubling transition to chaos. The approach is based on an eigenvalue problem formulated in terms of functional equations with coefficients expressed in terms of Feigenbaum's universal fixed-point function. The accuracy of the results depends only on the accuracy of the representation of the universal function.
Поступила в редакцию: 27.04.2002
Образец цитирования:
S. P. Kuznetsov, A. H. Osbaldestin, “Generalized Dimensions of Feigenbaum's Attractor from Renormalization-Group Functional Equations”, Regul. Chaotic Dyn., 7:3 (2002), 325–330
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd821 https://www.mathnet.ru/rus/rcd/v7/i3/p325
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