Geodesic
Homoclinic Tangencies, $\Omega$-Moduli, and Bifurcations
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 236 (2002), pp. 103-119

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A survey of author's results related to the problems of existence of continuous invariants (moduli) of $\Omega$-conjugacy of multidimensional diffeomorphisms with homoclinic tangencies is presented. The problem of bifurcations of periodic orbits is considered in the case of four-dimensional diffeomorphisms with a nontransversal homoclinic orbit to a fixed point of saddle–focus type. 
@article{TM_2002_236_a11,
     author = {V. S. Gonchenko},
     title = {Homoclinic {Tangencies,} $\Omega${-Moduli,} and {Bifurcations}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {103--119},
     publisher = {mathdoc},
     volume = {236},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2002_236_a11/}
}
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V. S. Gonchenko. Homoclinic Tangencies, $\Omega$-Moduli, and Bifurcations. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 236 (2002), pp. 103-119. http://geodesic.mathdoc.fr/item/TM_2002_236_a11/