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

For citation:

Kuznetsov A. P., Kuznetsova A. Y., Sataev I. R. Critical behavior оf thе мар with Neimark-Sackers bifurcation for the phase synchronization breakup at the accumulation point of period doubling cascade. Izvestiya VUZ. Applied Nonlinear Dynamics, 2003, vol. 11, iss. 1, pp. 12-18. DOI: 10.18500/0869-6632-2003-11-1-12-18

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Language: 
Russian
Heading: 
Bifurcations in Dynamical Systems
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-2003-11-1-12-18

Critical behavior оf thе мар with Neimark-Sackers bifurcation for the phase synchronization breakup at the accumulation point of period doubling cascade

Autors: 
Kuznetsov Aleksandr Petrovich, Saratov Branch of V. A. Kotelnikov Institute of Radioengineering and Electronics of the RAS
Kuznetsova Anna Yurevna, Saratov State University
Sataev Igor Rustamovich, Saratov Branch of V. A. Kotelnikov Institute of Radioengineering and Electronics of the RAS
Abstract: 

Universality and scaling are discussed for the case of the phase synchronization breakup at the accumulation point of period doubling cascade in two-dimensional map with supercritical Neimark-Sackers bifurcation.

Key words: 
-
Acknowledgments: 
This work was supported by the Federal Target Programme Integration and the American Foundation for Civic Research and Development (CRDF grant REC-006), as well by the Foundation for Promotion of National Science
Reference: 
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  6. Kuznetsov AP, Kuznetsov SP, Sataev IR. A variety of period-doubling universality classes in multi-parameter analysis оf transition to chaos. Physica D. 1997;109(1–2):91–112. DOI: 10.1016/S0167-2789(97)00162-0.
  7. Maistrenko V, Maistrenko Y, Sushko I. Noninvertible two-dimensional maps arising in radiophysics. Int. J. Bifurc. Chaos. 1994;4(2):383–400. DOI: 10.1142/S0218127494000253.
Received: 
21.10.2002
Accepted: 
12.05.2003
Available online: 
10.11.2023
Published: 
30.05.2003
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