Stability of Bifurcating Patterns of Spatial Economy Models on a Hexagonal Lattice-Reference-Cited by-同舟云学术

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

Published:2018-10 Issue:11 Volume:28 Page:1850138
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Ikeda K.¹^ORCID,Aizawa H.¹,Kogure Y.¹,Takayama Y.²

Affiliation:

1. Department of Civil and Environmental Engineering, Tohoku University, Aoba, Sendai 980-8579, Japan

2. Institute of Science and Engineering, Kanazawa University, Kakuma, Kanazawa 920-1192, Japan

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127418501389

Reference32 articles.

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3. The Return of Zipf: Towards a Further Understanding of the Rank-Size Distribution

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