Geodesic
Homoclinic $\Omega$-explosion and domains of hyperbolicity
Sbornik. Mathematics, Tome 189 (1998) no. 4, pp. 603-622 Cet article a éte moissonné depuis la source Math-Net.Ru

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The existence of domains of hyperbolicity is proved for general one-parameter families of multidimensional systems that undergo a homoclinic $\Omega$-explosion and the structure of the hyperbolic sets is studied for such families. 
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O. V. Sten'kin; L. P. Shilnikov. Homoclinic $\Omega$-explosion and domains of hyperbolicity. Sbornik. Mathematics, Tome 189 (1998) no. 4, pp. 603-622. http://geodesic.mathdoc.fr/item/SM_1998_189_4_a4/

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