Geodesic
Finding bifurcations for solutions of nonlinear equations by quadratic programming methods
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 3, pp. 350-364

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The authors study solution to nonlinear equations bifurcation of the turn point type. Here method of extended functional is used and bifurcation is found as solution to variational problems of minimax type. Iteration algorithm is constructed on the ground of the steepest descend for the piecewise-smooth maps. 
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     author = {A. A. Ivanov and Ya. Sh. Il'yasov},
     title = {Finding bifurcations for solutions of nonlinear equations by quadratic programming methods},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     volume = {53},
     number = {3},
     year = {2013},
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     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_3_a4/}
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A. A. Ivanov; Ya. Sh. Il'yasov. Finding bifurcations for solutions of nonlinear equations by quadratic programming methods. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 3, pp. 350-364. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_3_a4/