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.
Keywords:
area-preserving map, non-orientable surface, elliptic point, homoclinic tangency, bifurcation
Citation:
Delshams A., Gonchenko M. S., Gonchenko S. V., On Bifurcations of Area-preserving and Nonorientable Maps with Quadratic Homoclinic Tangencies, Regular and Chaotic Dynamics,
2014, Volume 19, Number 6,
pp. 702-717