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

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

Research output: Contribution to journalArticlepeer-review

4 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 languageEnglish
Article number1850138
JournalInternational Journal of Bifurcation and Chaos
Volume28
Issue number11
DOIs
Publication statusPublished - 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

Fingerprint Dive into the research topics of 'Stability of Bifurcating Patterns of Spatial Economy Models on a Hexagonal Lattice'. Together they form a unique fingerprint.

Cite this