Slow integral manifolds with a change of stability
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2012), pp. 49-57

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The paper is devoted to the investigation of slow integral manifolds with a change of stability in the case of vector fast variable. The existence conditions of the gluing function are given. The problem of construction of the integral manifold with a change of stability for systems with vector fast and slow variables is solved.
Mots-clés : singular perturbations
Keywords: clutching function, integral manifold, change of stability.
@article{VSGU_2012_6_a6,
     author = {T. V. Simonova},
     title = {Slow integral manifolds with a change of stability},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {49--57},
     publisher = {mathdoc},
     number = {6},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2012_6_a6/}
}
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T. V. Simonova. Slow integral manifolds with a change of stability. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2012), pp. 49-57. http://geodesic.mathdoc.fr/item/VSGU_2012_6_a6/