T. A. Gurina, I. A. Dorofeev, “Homoclinic cascade of bifurcations”, Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva, 2010, Volume 12, Number 2, Pages 46

Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva

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Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva, 2010, Volume 12, Number 2, Pages 46–55 (Mi svmo79)

This article is cited in 1 scientific paper (total in 1 paper)

In Middle Volga Mathematical Society

Homoclinic cascade of bifurcations

T. A. Gurina, I. A. Dorofeev

Moscow Aviation Institute

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Abstract: In system of the differential equations of the Lorenz's type, being model of stability of the average firm, it is found full double homoclinic cascade of the bifurcations, leading to formation of the strange attractor.

Keywords: Lorenz system, bifurcation, critical point, limit cycle, homoclinic contour, homoclinic cascade of bifurcations, strange attractor, transition to a dynamical chaos.

Document Type: Article

UDC: 517.9

Language: Russian

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Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva

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Abstract page:	43
References:	19

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