Geodesic
Group Symmetry for Dynamica Bifurcation Problems with Schmidt Spectrum in Linearization
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 14 (2014) no. 4, pp. 50-63

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Results [1] for stationary problems in the theory of branching for solutions of non-linear equations with the Schmidt spectrum in the linearization and articles [2; 3] applied to the problem of periodic solutions of the Poincare–Andronov–Hopf bifurcation in the spectrum Schmidt.
Keywords: dynamical bifurcation problems, Poincarè–Andronov–Hopf bifurcation, E. Schmidt spectrum, group symmetry, $G$-invariant implicit operator theorem, variational type branching equations in the root-subspaces. 
@article{VNGU_2014_14_4_a5,
     author = {I. V. Konopleva and B. V. Loginov},
     title = {Group {Symmetry} for {Dynamica} {Bifurcation} {Problems} with {Schmidt} {Spectrum} in {Linearization}},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {50--63},
     publisher = {mathdoc},
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     year = {2014},
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     url = {http://geodesic.mathdoc.fr/item/VNGU_2014_14_4_a5/}
}
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I. V. Konopleva; B. V. Loginov. Group Symmetry for Dynamica Bifurcation Problems with Schmidt Spectrum in Linearization. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 14 (2014) no. 4, pp. 50-63. http://geodesic.mathdoc.fr/item/VNGU_2014_14_4_a5/