References
H. Haken, Brain Dynamics: Synchronization and Activity Patterns in Pulse-Coupled Neural Nets with Delays and Noise (Springer-Verlag, Berlin, 2002).
A. T. Winfree, The Geometry of Biological Time, 2nd ed. (Springer-Verlag, Berlin, 2002).
Y. Kuramoto, Chemical Oscillations, Waves and Turbulence (Springer-Verlag, Berlin, 1984).
P. Hovel and E. Scholl, Phys. Rev. E 75, 046203 (2005).
A. Amann, E. Scholl, and W. Just, Physica A 373, 191–202 (2007).
S. A. Kashchenko, Differ. Uravn. 25, 1448–1451 (1989).
S. A. Kaschenko, Int. J. Bifurcations Chaos 6, 1093–1109 (1996).
I. S. Kashchenko, Comput. Math. Math. Phys. 48, 2172–2181 (2008) [Zh. Vychisl. Mat. Mat. Fiz. 48, 2141–2150 (2008)].
I. S. Kashchenko, Dokl. Math. 78, 570–573 (2008) [Dokl. Akad. Nauk 421, 586–589 (2008)].
T. S. Akhromeeva, S. P. Kurdyumov, G. G. Malinetskii, et al., Nonstationary Structures and Diffusion-Induced Chaos (Nauka, Moscow, 1992) [in Russian].
S. A. Kashchenko, Comput. Math. Math. Phys. 40, 659–668 (2000) [Zh. Vychisl. Mat. Mat. Fiz. 40, 693–702 (2000)].
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Original Russian Text © I.S. Kashchenko, 2011, published in Doklady Akademii Nauk, 2011, Vol. 437, No. 6, pp. 743–747.
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Kashchenko, I.S. Dynamics of an equation with a large coefficient of delay control. Dokl. Math. 83, 258–261 (2011). https://doi.org/10.1134/S1064562411020402
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DOI: https://doi.org/10.1134/S1064562411020402