253 citations · 3k across the 163 of their papers we have counts for
17 papers · 1 filter
Robust and Irreversible Development in Cell Society as a General Consequence of Intra-Inter Dynamics
Kunihiko Kaneko, Chikara Furusawa
A dynamical systems scenario for developmental cell biology is proposed, based on numerical studies of a system with interacting units with internal dynamics and reproduction. Dive…
Sensitive boundary condition dependence of noise-sustained structure
Koichi Fujimoto, Kunihiko Kaneko
Sensitive boundary condition dependence (BCD) is reported in a convectively unstable system with noise, where the amplitude of generated oscillatory dynamics in the downstream depe…
Energy Absorption and Storage in a Hamiltonian System in Partial Contact with a Heat Bath
Naoko Nakagawa, Kunihiko Kaneko
To understand the mechanism allowing for long-term storage of excess energy in proteins, we study a Hamiltonian system consisting of several coupled pendula in partial contact with…
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…
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…
Coupled Map Modeling for Cloud Dynamics
Tatsuo Yanagita, Kunihiko Kaneko
A coupled map model for cloud dynamics is proposed, which consists of the successive operations of the physical processes; buoyancy, diffusion, viscosity, adiabatic expansion, fall…
Heterogeneity Induced Order in Globally Coupled Chaotic Systems
Tatsuo Shibata, Kunihiko Kaneko
Collective behavior is studied in globally coupled maps with distributed nonlinearity. It is shown that the heterogeneity enhances regularity in the collective dynamics. Low-dimens…
Rayleigh-Bénard Convection; Patterns, Chaos, Spatiotemporal Chaos and Turbulence
Tatsuo Yanagita, Kunihiko Kaneko
A coupled map lattice for convection is proposed, which consists of Eulerian and Lagrangian procedures. Simulations of the model not only reproduce a wide-range of phenomena in Ray…
Remarks on the mean field dynamics of networks of chaotic elements
Kunihiko Kaneko
Fluctuations of the mean field of a globally coupled dynamical systems are discussed. The origin of hidden coherence is related with the instability of the fixed point solution of…
Pattern Dynamics of a Coupled Map Lattice for Open Flow
Frederick H. Willeboordse, Kunihiko Kaneko
The pattern dynamics of the one-way coupled logistic lattice which can serve as a phenomenological model for open flow is investigated and shown to be extremely rich. For medium an…
Understanding Long-range Correlations in DNA Sequences
Wentian Li, Thomas G. Marr, Kunihiko Kaneko
In this paper, we review the literature on statistical long-range correlation in DNA sequences. We examine the current evidence for these correlations, and conclude that a mixture…
Peeling the Onion of Order and Chaos in a High-dimensional Hamiltonian System
Kunihiko KANEKO, Tetsuro KONISHI
Coexistence of various ordered chaotic states in a Hamiltonian system is studied with the use of a symplectic coupled map lattice. Besides the clustered states for the attractive i…
Relevance of Dynamic Clustering to Biological Networks
Kunihiko Kaneko
Network of nonlinear dynamical elements often show clustering of synchronization by chaotic instability. Relevance of the clustering to ecological, immune, neural, and cellular net…
Chaotic Traveling Waves in a Coupled Map Lattice
Kunihiko Kaneko
Traveling waves triggered by a phase slip in coupled map lattices are studied. A local phase slip affects globally the system, which is in strong contrast with kink propagation. At…