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

For citation:

Kuznetsov A. P., Kapustina J. V. Scaling properties at transition to chaos in model maps in the presence of noise. Izvestiya VUZ. Applied Nonlinear Dynamics, 2000, vol. 8, iss. 6, pp. 78-87. DOI: 10.18500/0869-6632-2000-8-6-78-87

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Language: 
Russian
Heading: 
Autowaves. Self-organization
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-2000-8-6-78-87

Scaling properties at transition to chaos in model maps in the presence of noise

Autors: 
Kuznetsov Aleksandr Petrovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Kapustina Julia Viktorovna, Saratov State University
Abstract: 

Fundamental scaling properties of bifurcation tree in the absence and in the presence of noise for different maps which show transition to chaos through period—doubling cascade are considered. Numerical method of determination of noise constants for one-dimensional and two-dimensional maps is presented which allows to illustrate scaling properties of bifurcation tree under random noise influence.

Key words: 
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Acknowledgments: 
The work was supported by the RFBR (№ 00-02-17509) and CRDF RЕС 006.
Reference: 
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Received: 
26.06.2000
Accepted: 
20.10.2000
Published: 
25.03.2001
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