Abstract
We study bifurcations of two-dimensional symplectic maps with quadratic homoclinic tangencies and prove results on the existence of cascade of elliptic periodic points for one and two parameter general unfoldings.
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Gonchenko, M.S., Gonchenko, S.V. On cascades of elliptic periodic points in two-dimensional symplectic maps with homoclinic tangencies. Regul. Chaot. Dyn. 14, 116–136 (2009). https://doi.org/10.1134/S1560354709010080
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DOI: https://doi.org/10.1134/S1560354709010080