Dynamics of weak interaction in a system of similar species
Modelirovanie i analiz informacionnyh sistem, Tome 18 (2011) no. 1, pp. 68-74.

Voir la notice de l'article provenant de la source Math-Net.Ru

The dynamics of the system what describes the interaction between two similar species is investigated. The normal form is constructed, it is reduced to a normal form of a system of diffused weakly connected Hutchinson equations.
Keywords: mathematical model of the competition of species; system of weakly connected Hutchinson equations; method of normal forms.
@article{MAIS_2011_18_1_a6,
     author = {E. V. Gorchakova},
     title = {Dynamics of weak interaction in a system of similar species},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {68--74},
     publisher = {mathdoc},
     volume = {18},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2011_18_1_a6/}
}
TY  - JOUR
AU  - E. V. Gorchakova
TI  - Dynamics of weak interaction in a system of similar species
JO  - Modelirovanie i analiz informacionnyh sistem
PY  - 2011
SP  - 68
EP  - 74
VL  - 18
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MAIS_2011_18_1_a6/
LA  - ru
ID  - MAIS_2011_18_1_a6
ER  - 
%0 Journal Article
%A E. V. Gorchakova
%T Dynamics of weak interaction in a system of similar species
%J Modelirovanie i analiz informacionnyh sistem
%D 2011
%P 68-74
%V 18
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MAIS_2011_18_1_a6/
%G ru
%F MAIS_2011_18_1_a6
E. V. Gorchakova. Dynamics of weak interaction in a system of similar species. Modelirovanie i analiz informacionnyh sistem, Tome 18 (2011) no. 1, pp. 68-74. http://geodesic.mathdoc.fr/item/MAIS_2011_18_1_a6/

[1] D. S. Glyzin, Svidetelstvo o gosudarstvennoi registratsii programmy dlya EVM No 2008611464. Paket programm dlya analiza dinamicheskikh sistem “Tracer”. Zayavka 2008610548 ot 14.02.2008. Zaregistrirovano v Reestre programm dlya EVM 24.03.2008

[2] S. D. Glyzin, A. Yu. Kolesov, Lokalnye metody analiza dinamicheskikh sistem, Uchebn. posobie, YarGU, Yaroslavl, 2006, 92 pp.

[3] S. D. Glyzin, Bifurkatsionnye protsessy i khaoticheskie kolebaniya v tsepochkakh svyazannykh ostsillyatorov, Dis. ... d-ra fiz.-mat. nauk: 01.01.02, Yaroslavl, 2009, 318 pp.

[4] S. D. Glyzin, “Dinamicheskie svoistva prosteishikh konechnoraznostnykh approksimatsii kraevoi zadachi “reaktsiya-diffuziya””, Differentsialnye uravneniya, 33:6 (1997), 805–811 | MR | Zbl

[5] Yu. S. Kolesov, Problema adekvatnosti ekologicheskikh uravnenii, Dep. v VINITI 1901-85, Yaroslavl, 1985, 162 pp.

[6] Dzh. Kheil, Teoriya funktsionalno-differentsialnykh uravnenii, Mir, M., 1984, 421 pp. | MR