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math.DS2016
Bifurcations of cubic homoclinic tangencies in two-dimensional symplectic maps
Marina Gonchenko, Sergey V. Gonchenko, Ivan Ovsyannikov
We study bifurcations of cubic homoclinic tangencies in two-dimensional symplectic maps. We distinguish two types of cubic homoclinic tangencies, and each type gives different firs…
math.DS2016★ 41 cited
On the phenomenon of mixed dynamics in Pikovsky-Topaj system of coupled rotators
Alexander S. Gonchenko, Sergey V. Gonchenko, Alexey O. Kazakov +1
A one-parameter family of time-reversible systems on is considered. It is shown that the dynamics is not conservative, namely the attractor and repeller intersect bu…