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 | |
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