On Bifurcations of Two-Dimensional Diffeomorphisms with a~Homoclinic Tangency of Manifolds of
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 236 (2002), pp. 95-102
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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.
@article{TM_2002_236_a10,
author = {V. S. Gonchenko},
title = {On {Bifurcations} of {Two-Dimensional} {Diffeomorphisms} with {a~Homoclinic} {Tangency} of {Manifolds} of},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
pages = {95--102},
publisher = {mathdoc},
volume = {236},
year = {2002},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TM_2002_236_a10/}
}
TY - JOUR AU - V. S. Gonchenko TI - On Bifurcations of Two-Dimensional Diffeomorphisms with a~Homoclinic Tangency of Manifolds of JO - Trudy Matematicheskogo Instituta imeni V.A. Steklova PY - 2002 SP - 95 EP - 102 VL - 236 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TM_2002_236_a10/ LA - ru ID - TM_2002_236_a10 ER -
%0 Journal Article %A V. S. Gonchenko %T On Bifurcations of Two-Dimensional Diffeomorphisms with a~Homoclinic Tangency of Manifolds of %J Trudy Matematicheskogo Instituta imeni V.A. Steklova %D 2002 %P 95-102 %V 236 %I mathdoc %U http://geodesic.mathdoc.fr/item/TM_2002_236_a10/ %G ru %F TM_2002_236_a10
V. S. Gonchenko. On Bifurcations of Two-Dimensional Diffeomorphisms with a~Homoclinic Tangency of Manifolds of. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 236 (2002), pp. 95-102. http://geodesic.mathdoc.fr/item/TM_2002_236_a10/