Geodesic
Bifurcation of Invariant Tori of Codimension One
Matematičeskie zametki, Tome 69 (2001) no. 1, pp. 3-17

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We propose a method for constructing classes of real systems of differential equations of order $2^d$ ($d\ge1$), including polynomial systems, in which for all sufficiently small positive values of the parameter a bifurcation from the point of equilibrium to invariant tori of dimension $2^d-1$ occurs. 
@article{MZM_2001_69_1_a0,
     author = {V. V. Basov},
     title = {Bifurcation of {Invariant} {Tori} of {Codimension} {One}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {3--17},
     publisher = {mathdoc},
     volume = {69},
     number = {1},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2001_69_1_a0/}
}
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V. V. Basov. Bifurcation of Invariant Tori of Codimension One. Matematičeskie zametki, Tome 69 (2001) no. 1, pp. 3-17. http://geodesic.mathdoc.fr/item/MZM_2001_69_1_a0/