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JOURNALS // Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva // Archive

Zhurnal SVMO, 2010, Volume 12, Number 2, Pages 46–55 (Mi svmo79)

This article is cited in 1 paper

In Middle Volga Mathematical Society

Homoclinic cascade of bifurcations

T. A. Gurina, I. A. Dorofeev

Moscow Aviation Institute

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.

UDC: 517.9



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