D. Turaev

activity

20012025

most citedSimple scenarios of onset of chaos in three-dimensional maps

46 citations · 254 across the 37 of their papers we have counts for

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Showing 2015 · math.DSShow all

2 papers · 2 filters

math.DS2015★ 12 cited

Existence of Heterodimensional Cycles near Shilnikov Loops in Systems with a $Z_{2}$ Symmetry

Dongchen Li, Dmitry V. Turaev

We prove that a pair of heterodimensional cycles can be born at the bifurcations of a pair of Shilnikov loops (homoclinic loops to a saddle-focus equilibrium) having a one-dimensio…

math.DS2015

Degenerate behavior in non-hyperbolic semigroup actions on the interval: fast growth of periodic points and universal dynamics

Masayuki Asaoka, Katsutoshi Shinohara, Dmitry Turaev

We consider semigroup actions on the unit interval generated by strictly increasing $C^{r}$ -maps. We assume that one of the generators has a pair of fixed points, one attracting and…

Existence of Heterodimensional Cycles near Shilnikov Loops in Systems with a Z2​ Symmetry

Degenerate behavior in non-hyperbolic semigroup actions on the interval: fast growth of periodic points and universal dynamics

Existence of Heterodimensional Cycles near Shilnikov Loops in Systems with a $Z_{2}$ Symmetry