Geodesic
Study of main scenarios of bifurcation for functional differential time-delay equations
Ufa mathematical journal, Tome 6 (2014) no. 2, pp. 102-110

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In the paper, we study the main bifurcation scenarios for functional differential time delay equations with periodic right side and for nonlinear autonomous equations with aftereffect. The main tool is the operator method for studying multi-parameter bifurcation leading us to new sufficient bifurcation conditions and allowing us to obtain the approximate formulae for appearing solutions. As applications, we consider the problems on bifurcation points for the modifications of Duffing equation and Hutchinson–Wright equation.
Keywords: functional differential equations, time-delay system, dynamical systems, operator method, functionalization parameter, asymptotic formula.
Mots-clés : bifurcation 
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     title = {Study of main scenarios of bifurcation for functional differential time-delay equations},
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M. G. Yumagulov; D. A. Yakshibaeva. Study of main scenarios of bifurcation for functional differential time-delay equations. Ufa mathematical journal, Tome 6 (2014) no. 2, pp. 102-110. http://geodesic.mathdoc.fr/item/UFA_2014_6_2_a7/