Abstract
The distribution of laminar phases in a system of two coupled chaotic oscillators has been studied in the regime of eyelet-type intermittency observed near the boundary of phase synchronization. It is established for the first time that the distribution of laminar phases in this case obeys an exponential law.
Similar content being viewed by others
References
M. Dubois, M. Rubio, and P. Berge, Phys. Rev. Lett. 51, 1446 (1983).
A. Pikovsky, G. Osipov, M. Rosenblum, et al., Phys. Rev. Lett. 79, 47 (1997).
J. L. Cabrera and J. Milnor, Phys. Rev. Lett. 89, 158702 (2002).
A. E. Hramov, A. A. Koronovskii, I. S. Midzyanovskaya, E. Sitnikova, and C. M. Rijn, Chaos 16, 043111 (2006).
E. Rosa, Jr., E. Ott, and M. H. Hess, Phys. Rev. Lett. 80, 1642 (1998).
C. Grebogi, E. Ott, and J. A. Yorke, Phys. Rev. Lett. 50, 935 (1983).
K. J. Lee, Y. Kwak, and T. Jun Lim, Phys. Rev. Lett. 81, 321 (1998).
S. Boccaletti, E. Allaria, R. Meucci, and F. T. Arecchi, Phys. Rev. Lett. 89, 1 (1998).
A. Pikovsky, M. Rosenblum, G. Osipov, and J. Kurths, Physica D 104, 219 (1997).
W.-H. Kye and C.-M. Kim, Phys. Rev. E 62, 6304 (2000).
A. E. Hramov, A. A. Koronovskii, M. K. Kurovskaya, A. A. Ovchinnikov, and S. Boccaletti, Phys. Rev. E 76, 026206 (2007).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © M.K. Kurovskaya, 2008, published in Pis’ma v Zhurnal Tekhnicheskoĭ Fiziki, 2008, Vol. 34, No. 24, pp. 48–54.