17 citations · 35 across the 5 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★ 8 cited
Interpolating vector fields for near identity maps and averaging
Vassili Gelfreich, Arturo Vieiro
For a smooth near identity map, we introduce the notion of an interpolating vector field written in terms of iterates of the map. Our construction is based on Lagrangian interpolat…