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

For citation:

Kuznetsov S. P., Sataev I. R. A hybrid of period - doubling cascade and tangent bifurcation: quantitative universality and two-parameter scaling. Izvestiya VUZ. Applied Nonlinear Dynamics, 1995, vol. 3, iss. 4, pp. 3-11. DOI: 10.18500/0869-6632-1995-3-4-3-11

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Language: 
Russian
Heading: 
Bifurcations in Dynamical Systems
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-1995-3-4-3-11

A hybrid of period - doubling cascade and tangent bifurcation: quantitative universality and two-parameter scaling

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

Universal self-similar topography of the parameter space which may occur in two-parameter analysis of transition to chaos is investigated using a simple twodimensional model map.

Key words: 
-
Acknowledgments: 
The work was carried out with financial support from the Russian Foundation for Basic Research (project № 93-02-16169).
Reference: 
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  7. Kuznetsov SP, Sataev LR. New types of critical dynamics for two-dimensional maps. Phys. Lett. A. 1992;162:236-242. DOI: 10.1016/0375-9601(92)90440-W.
  8. Cathala JC, Kawakami H, Mira C. Singular points with two multipliers, S1 =-S2 =1, in the bifurcation curves of maps. Int. J. Bif. Chaos. 1992;2(4):1001-1004. DOI: 10.1142/S0218127492000616.
Received: 
13.10.1992
Accepted: 
15.10.1993
Published: 
13.10.1996
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