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Titlebook: Bifurcation Theory for Hexagonal Agglomeration in Economic Geography; Kiyohiro Ikeda,Kazuo Murota Book 2014 Springer Japan 2014 Core-perip

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期刊全称Bifurcation Theory for Hexagonal Agglomeration in Economic Geography
影响因子2023Kiyohiro Ikeda,Kazuo Murota
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发行地址Attractive new research field for bifurcation theory.Interdisciplinary study of economic geography and nonlinear mathematics.Detailed theoretical and numerical recipe serviceable for wide audience
图书封面Titlebook: Bifurcation Theory for Hexagonal Agglomeration in Economic Geography;  Kiyohiro Ikeda,Kazuo Murota Book 2014 Springer Japan 2014 Core-perip
影响因子.This book contributes to an understanding of how bifurcation theory adapts to the analysis of economic geography. It is easily accessible not only to mathematicians and economists, but also to upper-level undergraduate and graduate students who are interested in nonlinear mathematics. The self-organization of hexagonal agglomeration patterns of industrial regions was first predicted by the central place theory in economic geography based on investigations of southern Germany. The emergence of hexagonal agglomeration in economic geography models was envisaged by Krugman. In this book, after a brief introduction of central place theory and new economic geography, the missing link between them is discovered by elucidating the mechanism of the evolution of bifurcating hexagonal patterns. Pattern formation by such bifurcation is a well-studied topic in nonlinear mathematics, and group-theoretic bifurcation analysis is a well-developed theoretical tool. A finite hexagonal lattice is used to express uniformly distributed places, and the symmetry of this lattice is expressed by a finite group. Several mathematical methodologies indispensable for tackling the present problem are gathered i
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Bifurcation Theory for Hexagonal Agglomeration in Economic Geography978-4-431-54258-2
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We Can and Must Understand Computers NOWgroups of order .) expressing translational symmetry in two directions. Subgroups relevant to hexagonal distributions of this group are obtained by geometrical consideration and classified in accordance with the study of central place theory.
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Intertextualität und Intermedialitätthis study is demonstrated. Christaller’s three hexagonal market areas associated with market, traffic, and administrative principles and Lösch’s hexagons derived from geometrical consideration in central place theory are introduced. As a step toward a connection with the real world, self-organizati
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