70 citations · 166 across the 19 of their papers we have counts for
5 papers · 1 filter
Is Arnold diffusion relevant to global diffusion?
Seiichiro Honjo, Kunihiko Kaneko
Global diffusion of Hamiltonian dynamical systems is investigated by using a coupled standard maps. Arnold web is visualized in the frequency space, using local rotation numbers, w…
Prevalence of Milnor Attractors and Chaotic Itinerancy in 'High'-dimensional Dynamical Systems
Kunihiko Kaneko
Dominance of Milnor attractors in high-dimensional dynamical systems is reviewed, with the use of globally coupled maps. From numerical simulations, the threshold number of degrees…
Magic Number 7 +- 2 in Globally Coupled Dynamical Systems?
Kunihiko Kaneko
The prevalence of Milnor attractors has recently been reported in a class of high-dimensional dynamical systems. We study how this prevalence depends on the number of degrees of fr…
From Coupled Dynamical Systems to Biological Irreversibility
Kunihiko Kaneko
In the first half of the paper, some recent advances in coupled dynamical systems, in particular, a globally coupled map are surveyed. First, dominance of Milnor attractors in part…
How Fast Elements can Affect Slow Dynamics
Koichi Fujimoto, Kunihiko Kaneko
A chain of coupled chaotic elements with different time scales is studied. In contrast with the adiabatic approximation, we find correlations between faster and slower elements whe…