166 citations · 190 across the 13 of their papers we have counts for
13 papers
Creation Mechanism of Devil's Staircase Surface and Unstable and Stable Periodic Orbit in the Anisotropic Kepler Problem
Tokuzo Shimada, Keita Sumiya, Kazuhiro Kubo
A long-standing question in two dimensional Anisotropic Kepler Problem (AKP) concerns with the uniqueness of an unstable periodic orbit (PO) for a given binary code (modulo symmetr…
Periodic Orbit Theory Revisited in the Anisotropic Kepler Problem
Kazuhiro Kubo, Tokuzo Shimada
The Gutzwiller's trace formula for the anisotropic Kepler problem is Fourier transformed with a convenient variable which takes care of the scaling property of the…
Model of Globally Coupled Duffing Flows
Tokuzo Shimada, Takanobu Moriya
A Duffing oscillator in a certain parameter range shows period-doubling that shares the same Feigenbaum ratio with the logistic map, which is an important issue in the universality…
Universality in Globally Coupled Maps and Flows
Tokuzo Shimada, Takanobu Moriya, Hayato Fujigaki
We show that universality in chaotic elements can be lifted to that in complex systems. We construct a globally coupled Flow lattice (GCFL), an analog of a globally coupled Map lat…
Universality in the periodicity manifestations in the non-locally coupled map lattices in the turbulent regime
Tokuzo Shimada, Shou Tsukada
In the turbulent regime of coupled map lattice with non-local interaction the maps systematically form periodic cluster attractors and their remnants by synchronization due to the…
Periodicity Manifestations in the Non-Locally Coupled Maps
Tokuzo Shimada, Shou Tsukada
We study how periodicity manifestations recently found in the turbulent globall coupled maps depend on the global feature of the couplings. We examine three non-locally coupled map…