253 citations · 3k across the 163 of their papers we have counts for
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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…
Autonomous Energy Transducer: Proposition, Example, Basic Characteristics
Naoko Nakagawa, Kunihiko Kaneko
We propose a concept of autonomous energy transducer at a molecular scale, where output is produced with small input energy, of the same order of the thermal energy, without restri…
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…
Self-Organized Bottleneck in Energy Relaxation
Hidetoshi Morita, Kunihiko Kaneko
We study an energy relaxation process after many degrees of freedom are excited in a Hamiltonian system with a large number of degrees of freedom. Bottlenecks of relaxation, where…
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…
Recursiveness, Switching, and Fluctuations in a Replicating Catalytic Network
Kunihiko Kaneko
A protocell model consisting of mutually catalyzing molecules is studied in order to investigate how chemical compositions are transferred recursively through cell divisions under…