7 citations · 10 across the 4 of their papers we have counts for
4 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…
Riemann surfaces of complex classical trajectories and tunnelling splitting in one-dimensional systems
Hiromitsu Harada, Amaury Mouchet, Akira Shudo
The topology of complex classical paths is investigated to discuss quantum tunnelling splittings in one-dimensional systems. Here the Hamiltonian is assumed to be given as polynomi…
Time dependent Pais-Uhlenbeck oscillator and its decomposition
H. Kuwabara, T. Yumibayashi, H. Harada
The Pais-Uhlenbeck(PU) oscillator is the simplest model with higher time derivatives. Its properties were studied for a long time. In this paper, we extend the 4th order free PU os…
Degeneration of the Julia set to singular loci of algebraic curves
Satoru Saito, Noriko Saitoh, Hiromitsu Harada +2
We show that, when a non-integrable rational map changes to an integrable one continuously, a large part of the Julia set of the map approach indeterminate points (IDP) of the map…