56 citations · 79 across the 10 of their papers we have counts for
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math.DS2017★ 4 cited
On local and global aspects of the 1:4 resonance in the conservative cubic Hénon maps
M. Gonchenko, S. V. Gonchenko, I. Ovsyannikov +1
We study the 1:4 resonance for the conservative cubic Hénon maps with positive and negative cubic term. These maps show up different bifurcation structures both fo…
math.DS2017★ 1 cited
On birth of discrete Lorenz attractors under bifurcations of 3D maps with nontransversal heteroclinic cycles
Ivan Ovsyannikov
Lorenz attractors are important objects in the modern theory of chaos. The reason from one side is that they are met in various natural applications (fluid dynamics, mechanics, las…