62 citations · 211 across the 22 of their papers we have counts for
22 papers
A robust obstruction to full strong pluripotency for wild blender-horseshoes
Shin Kiriki, Xiaolong Li, Yushi Nakano +1
Suppose that is a closed manifold of dimension greater than two and . We show that there exists a \(C^r\)-diffeomorphism \(f:M\to M\) with a wild affine blender-horses…
Non-existence of Lyapunov exponents in the Newhouse domain
Shin Kiriki, Xiaolong Li, Yushi Nakano +1
We show that within the Newhouse domain of surface diffeomorphisms (), there exists a dense subset such that for any , Lyapu…
Takens' Last Problem and strong pluripotency
Shin Kiriki, Xiaolong Li, Yushi Nakano +2
We consider the concept of strong pluripotency of dynamical systems for a hyperbolic invariant set, as introduced in [KNS]. To the best of our knowledge, for the whole hyperbolic i…
Pluripotency of wandering dynamics
Shin Kiriki, Yushi Nakano, Teruhiko Soma
This paper isolates a perturbative mechanism, which we call \emph{pluripotency}, by which the symbolic and statistical behavior of prescribed orbits in a uniformly hyperbolic set c…
Abundance of observable Lyapunov irregular sets
Shin Kiriki, Xiaolong Li, Yushi Nakano +1
Lyapunov exponent is widely used in natural science to find chaotic signal, but its existence is seldom discussed. In the present paper, we consider the problem of whether the set…
Historic and physical wandering domains for wild blender-horseshoes
Shin Kiriki, Yushi Nakano, Teruhiko Soma
We present diffeomorphisms of wild blender-horseshoes which belong to closures of two types of diffeomorphisms, one of which has a historic contracting wan…