46 citations · 254 across the 37 of their papers we have counts for
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Leonid Shilnikov and mathematical theory of dynamical chaos
Alexey Kazakov, Sergey Gonchenko, Dmitry Turaev +1
This Focus Issue Global Bifurcations, Chaos, and Hyperchaos Theory and Applications is dedicated to the 85th anniversary of the great mathematician, one of the founding fathers of…
Persistence of Heterodimensional Cycles
Dongchen Li, Dmitry Turaev
A heterodimensional cycle is an invariant set of a dynamical system consisting of two hyperbolic periodic orbits with different dimensions of their unstable manifolds and a pair of…
Absolute stability and absolute hyperbolicity in systems with discrete time-delays
Serhiy Yanchuk, Matthias Wolfrum, Tiago Pereira +1
An equilibrium of a delay differential equation (DDE) is absolutely stable, if it is locally asymptotically stable for all delays. We present criteria for absolute stability of DDE…