55 citations · 148 across the 7 of their papers we have counts for
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math.DS2014★ 3 cited
Lorenz-like attractors in nonholonomic models of Celtic stone
A. S. Gonchenko, S. V. Gonchenko
We study chaotic dynamics in nonholonomic model of Celtic stone. We show that, for certain values of parameters characterizing geometrical and physical properties of the stone, a s…
nlin.CD2014★ 46 cited
Simple scenarios of onset of chaos in three-dimensional maps
Alexander Gonchenko, Sergey Gonchenko, Alexey Kazakov +1
We give a qualitative description of two main routes to chaos in three-dimensional maps. We discuss Shilnikov scenario of transition to spiral chaos and a scenario of transition to…