Geodesic
Operator method for the study of small oscillations in systems with aftereffect
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 9 (2013), pp. 37-42

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This paper proposes operator method for the study of effect of appearence of small oscillations in systems with aftereffect.The method leads to new sufficient features of Andronov–Hopf bifurkation and allows to obtain approximate formulas for emerging decisions. As an application, we consider the problem of bifurcation points of Hutchinson–Wright equation.
Mots-clés : bifurcation
Keywords: dynamic systems, time-delay systems, operator equations, functionalization of parameter, asymptotic formulae. 
@article{VSGU_2013_9_a5,
     author = {M. G. Yumagulov and D. A. Yakshibaeva},
     title = {Operator method for the study of small oscillations in systems with aftereffect},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {37--42},
     publisher = {mathdoc},
     number = {9},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2013_9_a5/}
}
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M. G. Yumagulov; D. A. Yakshibaeva. Operator method for the study of small oscillations in systems with aftereffect. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 9 (2013), pp. 37-42. http://geodesic.mathdoc.fr/item/VSGU_2013_9_a5/