Structural Criticality of Dynamical Glass State in a Spatially Coupled Map
Author(s) -
Hideaki Hata,
Shozo Oku,
Kazuo Yabe
Publication year - 1996
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.95.45
Subject(s) - criticality , physics , attractor , bifurcation , measure (data warehouse) , phase space , dynamical systems theory , statistical physics , state (computer science) , space (punctuation) , dynamical system (definition) , mathematical analysis , quantum mechanics , nonlinear system , mathematics , algorithm , nuclear physics , computer science , linguistics , philosophy , database
Understanding complex phenomena in spatially extended dynamical systems is one of the most important problems in nonlinear science. Efforts to classify and characterize various phenomena have produced interesting new concepts, e.g., spatiotemporal intermittency,I>·> self-organized criticality,> chaotic itineracy> and so on. Recently, temporally periodic and spatially irregular motion in coupled map systems was reported by Kaneko> and Fujisaka, Egami and Yamada.> Fujisaka et al. found that extremely many attractors coexist in phase space and that the relaxation process from an initial state to one of the attractors is chaotic and anomalously slow. This is the reason why the state is called a dynamical glass state.> In this paper, we study the spatially one-dimensional extended dynamical system
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