Аннотация:
We study bifurcations of nonorientable area-preserving maps with quadratic homoclinic tangencies. We study the case when the maps are given on nonorientable twodimensional surfaces. We consider one- and two-parameter general unfoldings and establish results related to the emergence of elliptic periodic orbits.
This work was partially supported by the Russian Scientific Foundation Grant 14-41-
00044.
Section 3 was carried out by the RSF-grant (project No.14-12-00811). SG was partially supported
by the grants of RFBR No.13-01-00589, 13-01-97028-povolzhye and 14-01-00344. AD and MG were
partially supported by the Spanish MINECO-FEDER Grant MTM2012-31714 and the Catalan
Grant 2014SGR504. MG was supported by the DFG Collaborative Research Center TRR 109
“Discretization in Geometry and Dynamics”.
Поступила в редакцию: 30.09.2014 Принята в печать: 19.10.2014