253 citations · 3k across the 163 of their papers we have counts for
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Noiseless Collective Motion out of Noisy Chaos
Tatsuo Shibata, Tsuyoshi Chawanya, Kunihiko Kaneko
We consider the effect of microscopic external noise on the collective motion of a globally coupled map in fully desynchronized states. Without the external noise a macroscopic var…
Life as Complex Systems --- Viewpoint from Intra-Inter Dynamics
Kunihiko Kaneko
Basic problems in complex systems are surveyed in connection with Life. As a key issue for complex systems, complementarity between syntax/rule/parts and semantics/behavior/whole i…
Noise-induced Input Dependence in a Convective Unstable Dynamical System
Koichi Fujimoto, Kunihiko Kaneko
Unidirectionally coupled dynamical system is studied by focusing on the input (or boundary) dependence. Due to convective instability, noise at an up-flow is spatially amplified to…
Collective Chaos
Tatsuo Shibata, Kunihiko Kaneko
An algorithm to characterize collective motion is presented, with the introduction of ``collective Lyapunov exponent'', as the orbital instability at a macroscopic level. By applyi…
On the Tongue-Like Bifurcation Structures of the Mean-Field Dynamics in a Network of Chaotic Elements
Tatsuo Shibata, Kunihiko Kaneko
Collective behavior is studied in globally coupled maps. Several coherent motions exist, even in fully desynchronized state. To characterize the collective behavior, we introduce s…
On the Strength of Attractors in a High-dimensional System: Milnor Attractor Network, Robust Global Attraction, and Noise-induced Selection
Kunihiko Kaneko
Strength of attractor is studied by the return rate to itself after perturbations, for a multi-attractor state of a globally coupled map. It is found that fragile (Milnor) attracto…
Diversity, Stability, Recursivity, and Rule Generation in Biological System: Intra-inter Dynamics Approach
Kunihiko Kaneko
Basic problems for the construction of a scenario for the Life are discussed. To study the problems in terms of dynamical systems theory, a scheme of intra-inter dynamics is presen…
Emergence of Rules in Cell Society: Differentiation, Hierarchy, and Stability
Chikara Furusawa, Kunihiko Kaneko
A dynamic model for cell differentiation is studied, where cells with internal chemical reaction dynamics interact with each other and replicate. It leads to spontaneous differenti…