Stability of Bifurcating Patterns of Spatial Economy Models on a Hexagonal Lattice

K. Ikeda; H. Aizawa; Y. Kogure; Y. Takayama

doi:10.1142/S0218127418501389

Stability of Bifurcating Patterns of Spatial Economy Models on a Hexagonal Lattice

K. Ikeda, H. Aizawa, Y. Kogure, Y. Takayama

ENG - Civil and Environmental Engineering

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

Self-organization of spatial patterns is investigated for a scalar field of a system of locations on a hexagonal lattice. Group-theoretic bifurcation analysis is conducted to exhaustively try and find possible bifurcating patterns. All these patterns are proved to be asymptotically unstable for general spatial economic models in new economic geography. Microeconomic interactions among the locations are expressed by a spatial economy model and all bifurcating patterns are demonstrated to be unstable by numerical bifurcation analysis.

Original language	English
Article number	1850138
Journal	International Journal of Bifurcation and Chaos
Volume	28
Issue number	11
DOIs	https://doi.org/10.1142/S0218127418501389
Publication status	Published - 2018 Oct 1

Keywords

Group-theoretic bifurcation theory
hexagonal lattice
self-organization
spatial economy
stability

ASJC Scopus subject areas

Modelling and Simulation
Engineering (miscellaneous)
General
Applied Mathematics

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abstract = "Self-organization of spatial patterns is investigated for a scalar field of a system of locations on a hexagonal lattice. Group-theoretic bifurcation analysis is conducted to exhaustively try and find possible bifurcating patterns. All these patterns are proved to be asymptotically unstable for general spatial economic models in new economic geography. Microeconomic interactions among the locations are expressed by a spatial economy model and all bifurcating patterns are demonstrated to be unstable by numerical bifurcation analysis.",

keywords = "Group-theoretic bifurcation theory, hexagonal lattice, self-organization, spatial economy, stability",

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AU - Ikeda, K.

AU - Aizawa, H.

AU - Kogure, Y.

AU - Takayama, Y.

PY - 2018/10/1

Y1 - 2018/10/1

N2 - Self-organization of spatial patterns is investigated for a scalar field of a system of locations on a hexagonal lattice. Group-theoretic bifurcation analysis is conducted to exhaustively try and find possible bifurcating patterns. All these patterns are proved to be asymptotically unstable for general spatial economic models in new economic geography. Microeconomic interactions among the locations are expressed by a spatial economy model and all bifurcating patterns are demonstrated to be unstable by numerical bifurcation analysis.

AB - Self-organization of spatial patterns is investigated for a scalar field of a system of locations on a hexagonal lattice. Group-theoretic bifurcation analysis is conducted to exhaustively try and find possible bifurcating patterns. All these patterns are proved to be asymptotically unstable for general spatial economic models in new economic geography. Microeconomic interactions among the locations are expressed by a spatial economy model and all bifurcating patterns are demonstrated to be unstable by numerical bifurcation analysis.

KW - Group-theoretic bifurcation theory

KW - hexagonal lattice

KW - self-organization

KW - spatial economy

KW - stability

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Stability of Bifurcating Patterns of Spatial Economy Models on a Hexagonal Lattice

Abstract

Keywords

ASJC Scopus subject areas

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