Homoclinic cascade of bifurcations \quad\\ in the system of Lorenz's type.
T. A. Gurina1, I. A. Dorofeev2
| Annotation | 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. |
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| Keywords | Lorenz system, bifurcation, critical point, limit cycle, homoclinic contour, homoclinic cascade of bifurcations, strange attractor, transition to a dynamical chaos. |
1Docent of Probability Theory Chair, Moscow Aviation Institute (State University of Aerospace Technologies), Moscow; gurinaunderline{quad)mai@mail.ru
2Assistant of Probability Theory Chair, Moscow Aviation Institute (State University of Aerospace Technologies); softcat@mail.ru
Citation: T. A. Gurina, I. A. Dorofeev, "[Homoclinic cascade of bifurcations \quad\\ in the system of Lorenz's type.]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,12:2 (2010) 46–55 (In Russian)
