Geodesic
On Bifurcations of Two-Dimensional Diffeomorphisms with a~Homoclinic Tangency of Manifolds of
Informatics and Automation, Differential equations and dynamical systems, Tome 236 (2002), pp. 95-102

Voir la notice de l'article provenant de la source Math-Net.Ru

Bifurcations of periodic orbits are studied for two-dimensional diffeomorphisms close to a diffeomorphism with the quadratic homoclinic tangency to a saddle fixed point whose Jacobian is equal to one. Problems of the coexistence of periodic orbits of various types of stability are considered. 
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     author = {V. S. Gonchenko},
     title = {On {Bifurcations} of {Two-Dimensional} {Diffeomorphisms} with {a~Homoclinic} {Tangency} of {Manifolds} of},
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     url = {http://geodesic.mathdoc.fr/item/TRSPY_2002_236_a10/}
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V. S. Gonchenko. On Bifurcations of Two-Dimensional Diffeomorphisms with a~Homoclinic Tangency of Manifolds of. Informatics and Automation, Differential equations and dynamical systems, Tome 236 (2002), pp. 95-102. http://geodesic.mathdoc.fr/item/TRSPY_2002_236_a10/