16 citations · 19 across the 7 of their papers we have counts for
7 papers
Big Crunch on Julia and Anti-Julia Sets in the Integrable Limit
Masatomi Iizawa, Satoru Saito, Yasuhito Narita +3
The Julia set is defined by the closure of repelling periodic points in chaotic systems. Why does this structure not appear in integrable systems? In this paper, we address this qu…
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…
Dynamical tunneling across the separatrix
Yasutaka Hanada, Kensuke S. Ikeda, Akira Shudo
The strong enhancement of tunneling couplings typically observed in tunneling splittings in the quantum map is investigated. We show that the transition from instanton to noninstan…
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…