5 citations · 14 across the 19 of their papers we have counts for
6 papers · 2 filters
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…
A spectral approach to quenched linear and higher-order response for partially hyperbolic dynamics
Harry Crimmins, Yushi Nakano
For smooth random dynamical systems we consider the quenched linear and higher-order response of equivariant physical measures to perturbations of the random dynamics. We show that…
Quenched limit theorems for random U(1) extensions of expanding maps
Yong Moo Chung, Yushi Nakano, Jens Wittsten
The Lyapunov spectra of random U(1) extensions of expanding maps on the torus were investigated in our previous work [NW2015]. Using the result, we extend the recent spectral appro…
Lyapunov exponents for random maps
Fumihiko Nakamura, Yushi Nakano, Hisayoshi Toyokawa
It has been recently realized that for abundant dynamical systems on a compact manifold, the set of points for which Lyapunov exponents fail to exist, called the Lyapunov irregular…
Topological entropy and Hausdorff dimension of irregular sets for non-hyperbolic dynamical systems
Pablo G. Barrientos, Yushi Nakano, Artem Raibekas +1
We systematically investigate examples of non-hyperbolic dynamical systems having irregular sets of full topological entropy and full Hausdorff dimension. The examples include some…