Katsutoshi Shinohara

activity

20152022

most citedAperiodic chain recurrence classes of

C^{1}

-generic diffeomorphisms

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.DS2022★ 1 cited

Aperiodic chain recurrence classes of $C^{1}$ -generic diffeomorphisms

Christian Bonatti, Katsutoshi Shinohara

We consider the space of $C^{1}$ -diffeomorphims equipped with the $C^{1}$ -topology on a three dimensional closed manifold. It is known that there are open sets in which $C^{1}$ -generic d…

math.DS2018

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…

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…

Aperiodic chain recurrence classes of C1-generic diffeomorphisms

Fast growth of the number of periodic points arising from heterodimensional connections

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

Aperiodic chain recurrence classes of $C^{1}$ -generic diffeomorphisms