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Kuznetsov S. P. Period-doubling for complex cubic map. Izvestiya VUZ. Applied Nonlinear Dynamics, 1996, vol. 4, iss. 4, pp. 3-12.

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Language: 
Russian
Heading: 
Bifurcations in Dynamical Systems
Article type: 
Article
UDC: 
517.9

Period-doubling for complex cubic map

Autors: 
Kuznetsov Sergey Petrovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Abstract: 

Scaling properties are reported for period-doubling cascade in complex cubic map z -> c-z^3. Renormalization group analysis is developed and the associated complex solution of the Feigenbaum - Cvitanovic equation is obtained numerically.

Key words: 
-
Acknowledgments: 
The author is grateful to Professor Predrag Cvitanovic (Niels Bohr Institute, Copenhagen) and Professor Bodil Brunner (Technical University of Denmark) for useful discussions. The work was carried out with financial support from the Russian Foundation for Basic Research (project № 95-02-05818).
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Received: 
18.10.1996
Accepted: 
15.11.1996
Published: 
10.12.1996
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