Invariant Patterns for Replicator Dynamics on a Hexagonal Lattice

DOI10.1142/S0218127419300143zbMath1419.37046OpenAlexW2955699151WikidataQ127594539 ScholiaQ127594539MaRDI QIDQ5225783

Yosuke Kogure, Kiyohiro Ikeda, Hiroki Aizawa, Yuki Takayama

Publication date: 23 July 2019

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127419300143

zbMATH Keywords

bifurcationreplicator dynamicshexagonal latticegroup-theoretic bifurcation theoryspatial economic modelinvariant pattern

Mathematics Subject Classification ID

Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Spatial models in economics (91B72) Lattice dynamics; integrable lattice equations (37K60)

Related Items (4)

Global–Local Spatial Platform for Economic Geography: Mechanism for Sustaining Bifurcation ⋮ Satellite city formation for a spatial economic model. Bifurcation mechanism in a hexagonal domain ⋮ Breaking and Sustaining Bifurcations in SN-Invariant Equidistant Economy ⋮ Group-Theoretic Bifurcation Mechanism of Economic Agglomerations on a Square Lattice

Cites Work

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• Spatial discounting, Fourier, and racetrack economy: a recipe for the analysis of spatial agglomeration models
• Spatial period-doubling agglomeration of a core-periphery model with a system of cities
• Group representation theory, bifurcation theory and pattern formation
• Planforms in two and three dimensions
• Singularities and groups in bifurcation theory. Volume II
• Spatial period doubling, invariant pattern, and break point in economic agglomeration in two dimensions
• The symmetry perspective. From equilibrium to chaos in phase space and physical space
• Simple and superlattice Turing patterns in reaction-diffusion systems: Bifurcation, bistability, and parameter collapse
• Bifurcation theory of a racetrack economy in a spatial economy model
• Bifurcation Theory for Hexagonal Agglomeration in Economic Geography
• Bifurcation on the hexagonal lattice and the planar Bénard problem
• Stability results for steady, spatially periodic planforms
• Exotische Lösungen des Bénardschen Problems
• The Principle of Minimum Differentiation Reconsidered: Some New Developments in the Theory of Spatial Competition
• A Modeling of Megalopolis Formation: The Maturing of City Systems
• Stability of Bifurcating Patterns of Spatial Economy Models on a Hexagonal Lattice
• Group-Theoretic Spectrum Analysis of Population Distribution in Southern Germany and Eastern USA
• SELF-ORGANIZATION OF LÖSCH'S HEXAGONS IN ECONOMIC AGGLOMERATION FOR CORE-PERIPHERY MODELS

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