ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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lvankov N. Y. The scaling properties of the parameter space of the periodically forced logistic map. Izvestiya VUZ. Applied Nonlinear Dynamics, 1997, vol. 5, iss. 2, pp. 118-127. DOI: 10.18500/0869-6632-1997-5-2-118-127

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Russian
Heading: 
Debut
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-1997-5-2-118-127

The scaling properties of the parameter space of the periodically forced logistic map

Autors: 
lvankov Nikolay Yurevich, Saratov State University
Abstract: 

The period doubling system driven by ап external periodical force is investigated by (RG) renormalization group method. When the frequency of the force is rational, the parameter space is found to have self-similarity properties near the critical point with scaling factors being defined by eigenvalues of linearized RG equation.

Key words: 
-
Acknowledgments: 
The author expresses gratitude to S.P. Kuznetsov for scientific guidance and A.P. Kuznetsov for discussion and help. The work was supported by the RFBR (grant 97-02-16414).
Reference: 
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Received: 
05.03.1997
Accepted: 
18.03.1997
Published: 
17.07.1997
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