Abstract
The results of numerical experiments reveal and illustrate the scaling properties manifested under the noise action at a bicritical point situated at the chaos boundary in a system of two unidirectionally coupled subsystems featuring the period doubling.
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References
A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences (Cambridge Univ. Press, Cambridge, 2001).
B. P. Bezruchko, Yu. V. Gulyaev, S. P. Kuznetsov, et al., Dokl. Akad. Nauk SSSR 287(3), 619 (1986) [Sov. Phys. Dokl. 31, 258 (1986)].
S. P. Kuznetsov, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 33(7), 788 (1990).
A. P. Kuznetsov, S. P. Kuznetsov, and I. R. Sataev, Int. J. Bifurcation Chaos Appl. Sci. Eng. 1(4), 839 (1991).
S.-Y. Kim, Phys. Rev. E 59(6), 6585 (1999).
S.-Y. Kim and W. Lim, Phys. Rev. E 63(3), 036223 (2001).
A. P. Kuznetsov, S. P. Kuznetsov, I. R. Sataev, et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 6(1), 119 (1996).
B. P. Bezruchko and O. B. Pudovochkin, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 35(1), 39 (1992).
J. Crutchfield, M. Nauenberg, and J. Rudnich, Phys. Rev. Lett. 46, 933 (1981).
A. P. Kuznetsov, S. P. Kuznetsov, and I. R. Sataev, Int. J. Bifurcation Chaos App. Sci. Eng. 3(1), 139 (1993).
M. J. Feigenbaum, J. Stat. Phys. 21(6), 669 (1979).
D. Fiel, J. Phys. A 20, 3209 (1987).
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Translated from Pis’ma v Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 27, No. 22, 2001, pp. 58–65.
Original Russian Text Copyright © 2001 by Gulyaev, Kapustina, A. Kuznetsov, S. Kuznetsov.
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Gulyaev, Y.V., Kapustina, Y.V., Kuznetsov, A.P. et al. On the scaling properties of two unidirectionally coupled period-doubling systems in the presence of noise. Tech. Phys. Lett. 27, 960–963 (2001). https://doi.org/10.1134/1.1424406
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DOI: https://doi.org/10.1134/1.1424406