46 citations · 254 across the 37 of their papers we have counts for
3 papers · 1 filter
Wild pseudohyperbolic attractor in a four-dimensional Lorenz system
Sergey Gonchenko, Alexey Kazakov, Dmitry Turaev
We present an example of a new strange attractor which, as we show, belongs to a class of wild pseudohyperbolic spiral attractors. We find this attractor in a four-dimensional syst…
Fast growth of the number of periodic points arising from heterodimensional connections
Masayuki Asaoka, Katsutoshi Shinohara, Dmitry Turaev
We consider C^r-diffeomorphisms of a compact smooth manifold having a pair of robust heterodimensional cycles where r is a positive integer or infinity. We prove that if certain co…
On the non-transverse homoclinic channel of a center manifold
Cezary Olszowiec, Dmitry Turaev
We consider a scenario when a stable and unstable manifolds of compact center manifold of a saddle-center coincide. The normal form of the ODE governing the system near the center…