Abstract
Correlation characteristics of chimera states have been calculated using the coefficient of mutual correlation of elements in a closed-ring ensemble of nonlocally coupled chaotic maps. Quantitative differences between the coefficients of mutual correlation for phase and amplitude chimeras are established for the first time.
Similar content being viewed by others
References
Y. Kuramoto and D. Battogtokh, Nonlin. Phen. Complex Syst. 5, 380 (2002).
D. M. Abrams and S. H. Strogatz, Phys. Rev. Lett. 93, 174102 (2004).
D. M. Abrams and S. H. Strogatz, Int. J. Bifurcation Chaos Appl. Sci. Eng. 16, 21 (2006).
S. A. Bogomolov, G. I. Strelkova, E. Schöll, and V. S. Anishchenko, Tech. Phys. Lett. 42, 765 (2016).
I. Omelchenko, B. Riemenschneider, P. Hövel, et al., Phys. Rev. E 85, 026212 (2012).
N. Semenova, A. Zakharova, E. Schöll, and V. S. Anishchenko, Europhys. Lett. 112, 40002 (2015).
S. A. Bogomolov, A. V. Slepnev, G. I. Strelkova, et al., Commun. Nonlin. Sci. Numer. Simul. 43, 5 (2017). doi 10.2016/j.cnsns.2016.06.24
E. Tognoli and J. A. S. Kelso, Neuron 81, 35 (2014).
N. C. Rattenborg, C. J. Amlaner, and S. L. Lima, Neurosci. Biobehavior. Rev. 24, 817 (2000).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © T.E. Vadivasova, G.I. Strelkova, S.A. Bogomolov, V.S. Anishchenko, 2017, published in Pis’ma v Zhurnal Tekhnicheskoi Fiziki, 2017, Vol. 43, No. 2, pp. 68–75.
Rights and permissions
About this article
Cite this article
Vadivasova, T.E., Strelkova, G.I., Bogomolov, S.A. et al. Correlation characteristics of phase and amplitude chimeras in an ensemble of nonlocally coupled maps. Tech. Phys. Lett. 43, 118–121 (2017). https://doi.org/10.1134/S1063785017010278
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063785017010278