Bifurcation Theory for Hexagonal Agglomeration in Economic Geography

Nonfiction, Science & Nature, Science, Other Sciences, System Theory, Mathematics, Applied, Technology
Cover of the book Bifurcation Theory for Hexagonal Agglomeration in Economic Geography by Kiyohiro Ikeda, Kazuo Murota, Springer Japan
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Kiyohiro Ikeda, Kazuo Murota ISBN: 9784431542582
Publisher: Springer Japan Publication: November 8, 2013
Imprint: Springer Language: English
Author: Kiyohiro Ikeda, Kazuo Murota
ISBN: 9784431542582
Publisher: Springer Japan
Publication: November 8, 2013
Imprint: Springer
Language: English

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 in a self-contained manner. The existence of hexagonal distributions is verified by group-theoretic bifurcation analysis, first by applying the so-called equivariant branching lemma and next by solving the bifurcation equation. This book offers a complete guide for the application of group-theoretic bifurcation analysis to economic agglomeration on the hexagonal lattice.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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 in a self-contained manner. The existence of hexagonal distributions is verified by group-theoretic bifurcation analysis, first by applying the so-called equivariant branching lemma and next by solving the bifurcation equation. This book offers a complete guide for the application of group-theoretic bifurcation analysis to economic agglomeration on the hexagonal lattice.

More books from Springer Japan

Cover of the book Air Traffic Management and Systems by Kiyohiro Ikeda, Kazuo Murota
Cover of the book Translational Research in Muscular Dystrophy by Kiyohiro Ikeda, Kazuo Murota
Cover of the book Fabrication of Heat-Resistant and Plastic-Formable Silicon Nitride by Kiyohiro Ikeda, Kazuo Murota
Cover of the book Urban Development Challenges, Risks and Resilience in Asian Mega Cities by Kiyohiro Ikeda, Kazuo Murota
Cover of the book Neuropsychiatric Disorders by Kiyohiro Ikeda, Kazuo Murota
Cover of the book Anomalous and Topological Hall Effects in Itinerant Magnets by Kiyohiro Ikeda, Kazuo Murota
Cover of the book Landscape Ecology in Asian Cultures by Kiyohiro Ikeda, Kazuo Murota
Cover of the book Wind Resistant Design of Bridges in Japan by Kiyohiro Ikeda, Kazuo Murota
Cover of the book High-Performance and Specialty Fibers by Kiyohiro Ikeda, Kazuo Murota
Cover of the book Idiopathic Pulmonary Fibrosis by Kiyohiro Ikeda, Kazuo Murota
Cover of the book Nuclear Reactor Kinetics and Plant Control by Kiyohiro Ikeda, Kazuo Murota
Cover of the book Pain and Kampo by Kiyohiro Ikeda, Kazuo Murota
Cover of the book Total Synthesis of Thielocin B1 as a Protein-Protein Interaction Inhibitor of PAC3 Homodimer by Kiyohiro Ikeda, Kazuo Murota
Cover of the book Corrosion Control and Surface Finishing by Kiyohiro Ikeda, Kazuo Murota
Cover of the book Management of Software Engineering Innovation in Japan by Kiyohiro Ikeda, Kazuo Murota
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy