50 citations · 81 across the 13 of their papers we have counts for
5 papers · 1 filter
Dynamical Systems Basis of Metamorphosis: Diversity and Plasticity of Cellular States in Reaction Diffusion Network
Hiroaki Takagi, Kunihiko Kaneko
Dynamics maintaining diversity of cell types in a multi-cellular system are studied in relationship with the plasticity of cellular states. By adopting a simple theoretical framewo…
Is relaxation to equilibrium hindered by transient dissipative structures in closed systems?
Akinori Awazu, Kunihiko Kaneko
Dissipative structures are generally observed when a system relaxes from a far from equilibrium state. To address the reverse question given by the title, we investigate the relaxa…
Molecular Discreteness in Reaction-Diffusion Systems Yields Steady States Not Seen in the Continuum Limit
Yuichi Togashi, Kunihiko Kaneko
We investigate the effects of spatial discreteness of molecules in reaction-diffusion systems. It is found that discreteness within the so called Kuramoto length can lead to a loca…
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…