Atsuya Otani

activity

20122016

most citedChaotically driven sigmoidal maps

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.DS2016★ 1 cited

Chaotically driven sigmoidal maps

Gerhard Keller, Atsuya Otani

We consider skew product dynamical systems $f : Θ \times R \to Θ \times R, f (θ, y) = (T θ, f_{θ} (y))$ with a (generalized) baker transformation $T$ at the base and uniformly bou…

math.DS2016

Fractal dimensions of graph of Weierstrass-type function and local Hölder exponent spectra

Atsuya Otani

We study several fractal properties of the Weierstrass-type function \[ W(x)=\sum_{n=0} ^\infty λ(x) λ(τx) \cdots λ(τ^{n-1}x)\, g(τ^n x), \] where $τ : [0, 1) \to [0, 1)$ is a cookie cut…

math.DS2015

An entropy formula for a non-self-affine measure with application to Weierstrass-type functions

Atsuya Otani

Let $τ : [0, 1] \to [0, 1]$ be a piecewise expanding map with full branches. Given $λ : [0, 1] \to (0, 1)$ and $g : [0, 1] \to R$ satisfying $ τ' λ>…

math.DS2012

Bifurcation and Hausdorff dimension in families of chaotically driven maps with multiplicative forcing

Gerhard Keller, Atsuya Otani

We study bifurcations of invariant graphs in skew product dynamical systems driven by hyperbolic surface maps T like Anosov surface diffeomorphisms or baker maps and with one-dimen…