50 citations · 249 across the 25 of their papers we have counts for
25 papers
Uniform hyperbolicity of a class of scattering maps
Hajime Yoshino, Normann Mertig, Akira Shudo
In recent years fractal Weyl laws and related quantum eigenfunction hypothesis have been studied in a plethora of numerical model systems, called quantum maps. In some models studi…
Coupled Hénon Map, Part II: Doubly and Singly Folded Horseshoes in Four Dimensions
Jizhou Li, Keisuke Fujioka, Akira Shudo
As a continuation of a previous paper (arXiv:2303.05769 [nlin.CD]), we introduce examples of Hénon-type mappings that exhibit new horseshoe topologies in three and four dimensional…
Coupled Hénon Map, Part I: Topological Horseshoes and Uniform Hyperbolicity
Keisuke Fujioka, Ryota Kogawa, Jizhou Li +1
We derive a sufficient condition for topological horseshoe and uniform hyperbolicity of a 4-dimensional symplectic map, which is introduced by coupling the two 2-dimensional Hénon…
Escape-rate response to noise of all amplitudes in leaky chaos
Makoto Ohshika, Domenico Lippolis, Akira Shudo
We study the effect of homogeneous noise on the escape rate of strongly chaotic area-preserving maps with a small opening. While in the noiseless dynamics the escape rate analytica…
Towards the resolution of a quantized chaotic phase space: The interplay of dynamics with noise
Domenico Lippolis, Akira Shudo
We outline formal and physical similarities between the quantum dynamics of open systems, and the mesoscopic description of classical systems affected by weak noise. The main tool…
Spread of variants of epidemic disease based on the microscopic numerical simulations on networks
Yutaka Okabe, Akira Shudo
Viruses constantly undergo mutations with genomic changes. The propagation of variants of viruses is an interesting problem. We perform numerical simulations of the microscopic epi…