Geodesic
Bursting Behavior in the System of Coupled Oscillators with Delay and its Statistical Analysis
Modelirovanie i analiz informacionnyh sistem, Tome 19 (2012) no. 3, pp. 82-96.

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The statistical analysis of random quantities derived from the dynamics of interaction of a pair of neuron-type oscillators are presented. It is shown that computation of some statistical characteristics of the process allows, with enough precision, to distinguish two types of orbits, while their phase portraits, Lyapunov dimension and time plots are slightly different.
Keywords: dynamical systems, oscillators, entropy, correlation integral. 
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S. D. Glyzin; E. A. Marushkina. Bursting Behavior in the System of Coupled Oscillators with Delay and its Statistical Analysis. Modelirovanie i analiz informacionnyh sistem, Tome 19 (2012) no. 3, pp. 82-96. http://geodesic.mathdoc.fr/item/MAIS_2012_19_3_a4/

[1] V. V. Maiorov, I. Yu. Myshkin, “Matematicheskoe modelirovanie neironov seti na osnove uravnenii s zapazdyvaniem”, Matematicheskoe modelirovanie, 2:11 (1990), 64–76 | MR

[2] S. A. Kaschenko, V. V. Maiorov, “Ob odnom differentsialno-raznostnom uravnenii, modeliruyuschem impulsnuyu aktivnost neirona”, Matematicheskoe modelirovanie, 5:12 (1993), 13–25 | MR

[3] S. D. Glyzin, E. O. Kiseleva, “Dinamika vzaimodeistviya pary ostsillyatorov neironnogo tipa”, Modelirovanie i analiz informatsionnykh sistem, 15:2 (2008), 75–88 | MR

[4] S. D. Glyzin, E. O. Ovsyannikova, “Dvukhchastotnye kolebaniya obobschennogo uravneniya impulsnogo neirona s dvumya zapazdyvaniyami”, Modelirovanie i analiz informatsionnykh sistem, 18:1 (2011), 86–105

[5] S. D. Glyzin, E. O. Kiseleva, “Uchet zapazdyvaniya v tsepochke svyazi mezhdu ostsillyatorami”, Modelirovanie i analiz informatsionnykh sistem, 17:2 (2010), 140–150

[6] S. D. Glyzin, “Stsenarii fazovykh perestroek odnoi konechnoraznostnoi modeli uravneniya «reaktsiya-diffuziya»”, Differents. uravneniya, 33:6 (1997), 805–811 | MR | Zbl

[7] E. A. Timofeev, “Statisticheski otsenivaemye invarianty mer”, Algebra i analiz, 17:3 (2005), 204–236 | MR

[8] G. Shuster, Determinirovannyi khaos: vvedenie, Mir, M., 1988 | MR | Zbl

[9] S. D. Glyzin, “Relaksatsionnye kolebaniya elektricheski svyazannykh neiropodobnykh ostsillyatorov s zapazdyvaniem”, Modelirovanie i analiz informatsionnykh sistem, 17:2 (2010), 28–47

[10] S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Relaksatsionnye avtokolebaniya v neironnykh sistemakh, I”, Differentsialnye uravneniya, 47:7 (2011), 919–932 | MR | Zbl

[11] S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Relaksatsionnye avtokolebaniya v neironnykh sistemakh, II”, Differentsialnye uravneniya, 47:12 (2011), 1675–1692 | MR | Zbl

[12] S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Relaksatsionnye avtokolebaniya v neironnykh sistemakh, III”, Differentsialnye uravneniya, 48:2 (2012), 155–170 | MR | Zbl