46 citations · 254 across the 37 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…
nlin.CD2014★ 14 cited
Exponential energy growth in adiabatically changing Hamiltonian Systems
Tiago Pereira, Dmitry Turaev
Fermi acceleration is the process of energy transfer from massive objects in slow motion to light objects that move fast. The model for such process is a time-dependent Hamiltonian…
nlin.CD2014
Bifurcation to Chaos in the complex Ginzburg-Landau equation with large third-order dispersion
I. I. Ovsyannikov, D. Turaev, S. Zelik
We give an analytic proof of the existence of Shilnikov chaos in complex Ginzburg-Landau equation subject to a large third-order dispersion perturbation.