16 citations · 19 across the 7 of their papers we have counts for
5 papers · 1 filter
Chaos and Quantum Tunneling
Akira Shudo
In generic Hamiltonian systems that are neither completely integrable nor fully chaotic, phase space consists of a mixture of regular and chaotic components. In classical dynamics,…
Paperfolding Structures as Templates for Horseshoes in Multidimensional Hénon Maps
Jizhou Li, Keisuke Fujioka, Akira Shudo
We propose a novel framework for analyzing the geometric structure of horseshoes arising in three- and four-dimensional Hénon-type maps by introducing paperfolding structures as ge…
Classical transport in a maximally chaotic chain
William Alderson, Rémy Dubertrand, Akira Shudo
A model for a lattice of coupled cat maps has been recently introduced. This new and specific choice of the coupling makes the description especially easy and nontrivial quantities…
On complex dynamics in a Suris's integrable map
Yasutaka Hanada, Akira Shudo
Quantum tunneling in a two-dimensional integrable map is studied. The orbits of the map are all confined to the curves specified by the one-dimensional Hamiltonian. It is found tha…
Complex paths for regular-to-chaotic tunneling rates
Normann Mertig, Steffen Löck, Arnd Bäcker +2
In generic Hamiltonian systems tori of regular motion are dynamically separated from regions of chaotic motion in phase space. Quantum mechanically these phase-space regions are co…