46 citations · 248 across the 17 of their papers we have counts for
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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…
math.DS2014★ 10 cited
Topological monodromy as an obstruction to Hamiltonization of nonholonomic systems: pro or contra?
Alexey V. Bolsinov, Alexander A. Kilin, Alexey O. Kazakov
The phenomenon of a topological monodromy in integrable Hamiltonian and nonholonomic systems is discussed. An efficient method for computing and visualizing the monodromy is develo…