Local dynamics of an equation with large exponential distributed delay
Modelirovanie i analiz informacionnyh sistem, Tome 18 (2011) no. 3, pp. 42-49.

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We study properties of local dynamics of a differential equation with exponentially distributed delay. In critical cases we built special evolutionary equations.
Keywords: distributed delay, normal form, local dynamics.
Mots-clés : singular perturbation
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I. S. Kashchenko. Local dynamics of an equation with large exponential distributed delay. Modelirovanie i analiz informacionnyh sistem, Tome 18 (2011) no. 3, pp. 42-49. http://geodesic.mathdoc.fr/item/MAIS_2011_18_3_a3/

[1] P. S. Landa, Avtokolebaniya v raspredelennykh sistemakh, Nauka, M., 1983 | MR | Zbl

[2] A. S. Dmitriev, V. Ya. Kislov, Stokhasticheskie kolebaniya v radiofizike i elektronike, Nauka, M., 1989 | MR | Zbl

[3] S. P. Kuznetsov, “Slozhnaya dinamika generatorov s zapazdyvayuschei obratnoi svyazyu (obzor)”, Izv. vuzov. Radiofizika, 25:12 (1982), 1410–1428

[4] T. Kilias, K. Kutzer, A. Moegel, W. Schwarz, “Electromic chaos generators — design and applications”, International Journal of Electronics, 79:6 (1995), 737–753 | DOI

[5] A. N. Sharkovskii, Yu. L. Maistrenko, E. Yu. Romanenko, Raznostnye uravneniya i ikh prilozheniya, Naukova dumka, Kiev, 1981 | MR

[6] S. A. Kaschenko, “Primenenie metoda normalizatsii k izucheniyu dinamiki differentsialno-raznostnykh uravnenii s malym mnozhitelem pri proizvodnoi”, Differentsialnye uravneniya, 25:8 (1982), 1448–1451

[7] I. S. Kaschenko, S. A. Kaschenko, “Asimptotika slozhnykh prostranstvenno-vremennykh struktur v sistemakh s bolshim zapazdyvaniem”, Izvestiya vuzov. PND, 16:4 (2008), 137–146

[8] I. S. Kaschenko, “Normalizatsiya v sisteme s dvumya blizkimi bolshimi zapazdyvaniyami”, Nelineinaya dinamika, 6:1 (2010), 169–180 | MR

[9] I. S. Kaschenko, “Normalizatsiya uravneniya s lineino-raspredelennym zapazdyvaniem”, Modelirovanie i analiz informatsionnykh sistem, 16:4 (2009), 109–116

[10] I. S. Kaschenko, “Asimptoticheskii analiz povedeniya reshenii uravneniya s bolshim zapazdyvaniem”, Doklady Akademii Nauk, 421:5 (2008), 586–589

[11] I. S. Kaschenko, “Lokalnaya dinamika uravnenii s bolshim zapazdyvaniem”, Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki, 48:12 (2008), 2141–2150 | MR