Geodesic
Properties of solutions of certain two-dimensional nonlinear systems of ordinary differential equations on and outside a stable manifold
Matematičeskie zametki, Tome 8 (1970) no. 3, pp. 285-295.

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Some two-dimensional nonlinear systems with an irregular singularity at infinity are investigated. Properties of their solutions on and outside a one-dimensional stable manifold are studied. Representations for solutions on the manifold are derived in the form of one-parameter exponential series. It is shown how solutions not tending to zero at infinity deviate from the stable manifold. 
@article{MZM_1970_8_3_a1,
     author = {N. B. Konyukhova},
     title = {Properties of solutions of certain two-dimensional nonlinear systems of ordinary differential equations on and outside a stable manifold},
     journal = {Matemati\v{c}eskie zametki},
     pages = {285--295},
     publisher = {mathdoc},
     volume = {8},
     number = {3},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1970_8_3_a1/}
}
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N. B. Konyukhova. Properties of solutions of certain two-dimensional nonlinear systems of ordinary differential equations on and outside a stable manifold. Matematičeskie zametki, Tome 8 (1970) no. 3, pp. 285-295. http://geodesic.mathdoc.fr/item/MZM_1970_8_3_a1/