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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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David Raffaelli,Stephen Hawkinsis highlighted as the most characteristic progress of agglomeration. This chapter, as a whole, serves as an introduction to the methodology for a more general analysis in Chaps. .–. in Part II of an economy on a hexagonal lattice with a larger and more complicated symmetry group.
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Riffing on Ted Nelson—Hypermindnomy on the hexagonal lattice. Formulas for the transformation matrix for block-diagonalization of the Jacobian matrix of the equilibrium equation of the economy on the hexagonal lattice are derived and put to use in numerical bifurcation analysis of hexagonal patterns.
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Najla AL-Qawasmeh,Muna Khayyat,Ching Y. Suenis presented. As a main technical contribution of this book, a complete analysis of bifurcating solutions for hexagonal distributions from critical points of multiplicity 12 is conducted. In particular, hexagons of different types are shown to emerge simultaneously at bifurcation points of multiplicity 12 of certain types.
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Introduction to Economic Agglomeration on Hexagonal Latticeones envisaged by central place theory and also envisaged to emerge by Krugman, 1996 for a core–periphery model in two dimensions. The missing link between central place theory and new economic geography has thus been discovered.
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Matrix Representation for Economy on Hexagonal Latticenomy on the hexagonal lattice. Formulas for the transformation matrix for block-diagonalization of the Jacobian matrix of the equilibrium equation of the economy on the hexagonal lattice are derived and put to use in numerical bifurcation analysis of hexagonal patterns.
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