Geodesic
On~moduli of systems with a structurally unstable homoclinic Poincare curve
Izvestiya. Mathematics , Tome 41 (1993) no. 3, pp. 417-445

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For higher-dimensional dynamical systems with a structurally unstable homoclinic Poincare curve we find moduli of topological and $\Omega$-equivalence. Using these, in the case of systems with a nontrivial structure we find sufficient conditions for $\Omega$-equivalence on small neighborhoods of homoclinic curves. 
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     author = {S. V. Gonchenko and L. P. Shilnikov},
     title = {On~moduli of systems with a structurally unstable homoclinic {Poincare} curve},
     journal = {Izvestiya. Mathematics },
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1993_41_3_a1/}
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S. V. Gonchenko; L. P. Shilnikov. On~moduli of systems with a structurally unstable homoclinic Poincare curve. Izvestiya. Mathematics , Tome 41 (1993) no. 3, pp. 417-445. http://geodesic.mathdoc.fr/item/IM2_1993_41_3_a1/