| 期刊全稱 | Bifurcation Theory for Hexagonal Agglomeration in Economic Geography | | 影響因子2023 | Kiyohiro Ikeda,Kazuo Murota | | 視頻video | http://file.papertrans.cn/186/185530/185530.mp4 | | 發(fā)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 | | 圖書封面 |  | | 影響因子 | .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 | | Pindex | Book 2014 |
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