The University of Tokyo · 생화학·유전·분자생물학
칸에코 쿠니히코 교수의 연구실은 복잡계 이론과 비선형 동역학을 기반으로 한 커플드 매프 레지스트리(결합된 맵 격자)를 중심으로 연구를 전개합니다. 주요 연구 방향은 공간적 비정상성과 시간적 복잡성의 상호작용을 다루는 스파ati오텀포럴 인터미tt엔시(시공간 간헐성), 주기적 분열과 혼돈의 전이 메커니즘, 그리고 글로벌 쌍방향 결합 시스템에서의 평균장의 통계적 거동입니다. 특히, 요동과 안정 영역이 혼재하는 복잡한 패턴의 형성 원리와 이들의 통계적 특성, 그리고 소음이 복잡계의 평균화 성질에 미치는 영향에 깊이 관심을 기울입니다.
표시된 성과는 수집된 데이터 기준으로 산출되며, 일부 차이가 있을 수 있습니다.
Qualitative features of a one-dimensional lattice of coupled-logistic maps are investigated. First, kink-antikink patterns of 2n-periodic cycles with their period-doubling bifurcations are found. Secondly, antiferro-like structures with some kinks are observed, which show the transition from torus to chaos. Lastly, spatial intermittent structures are investigated, with the emphasis on the propagation of bursts.
Spatiotemporal intermittency is investigated in a class of coupled map lattices. Burst and laminar regions form a geometrical structure in spacetime, which is analogous to the ones found in cellular automata. Mechanism of the formation of this structure is discussed, with the study on the critical properties of the propagation speed of bursts and distribution of laminar clusters. Lyapunov spectra are calculated, which show the existence of two kinds of motions, i.e., laminar and bursts. Possibil
Studies in coupled map lattices are briefly surveyed in connection with the papers in the present focus issue.
The title statement is numerically shown for a globally coupled chaotic system. With an increasing number of elements, N, the distribution of the mean field approaches a Gaussian distribution, but the decrease of its mean-square deviation with N stops for large N. This violation of the law of large numbers is found to be caused by the emergence of a subtle coherence among elements, as is measured by the mutual information. With the inclusion of noise, the law of large numbers is restored. The me
This article lists fourteen open problems in artificial life, each of which is a grand challenge requiring a major advance on a fundamental issue for its solution. Each problem is briefly explained, and, where deemed helpful, some promising paths to its solution are indicated.
A globally coupled map lattice is investigated. A simple coding of many attractors with clustering is shown. Through the coding, the attractors are organized so that their change exhibits the period-doubling bifurcation. By a simple input on a site, we can switch among attractors and tune the strength of chaos. A threshold on the cluster size is found beyond which a peculiar ``posi-nega'' switch occurs.
Chaotic itinerancy is universal dynamics in high-dimensional dynamical systems, showing itinerant motion among varieties of low-dimensional ordered states through high-dimensional chaos. Discovery, basic features, characterization, examples, and significance of chaotic itinerancy are surveyed.
During development, cells undergo a unidirectional course of differentiation that progressively decreases the number of cell types they can potentially become. Stem cells, however, keep their potential to both proliferate and differentiate. A very important issue then is to understand the characteristics that distinguish stem cells from other cell types and allow them to conduct stable proliferation and differentiation. Here, we review relevant dynamical-systems approaches to describe the state
