03899nam a22005295i 4500 978-3-031-71686-7 DE-He213 20251030113312.0 cr nn 008mamaa 241115s2024 sz | s |||| 0|eng d 9783031716867 978-3-031-71686-7 10.1007/978-3-031-71686-7 doi H61.25 PBW bicssc K bicssc MAT003000 bisacsh PBW thema K thema Ikeda, Kiyohiro. author. (orcid)0000-0002-0291-4346 https://orcid.org/0000-0002-0291-4346 aut http://id.loc.gov/vocabulary/relators/aut 87513 Bifurcation Theory of Pattern Formation in Economic Geography [electronic resource] / by Kiyohiro Ikeda, Yuki Takayama. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. IX, 261 p. 110 illus., 53 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Interdisciplinary Applied Mathematics, 2196-9973 ; 61 -- Introduction to Bifurcation Analysis in Economic Geography. -- Introduction to Economic Agglomeration Analysis. -- Part I Bifurcation from the Uniform State. -- Racetrack Economy: Introduction to Group-Theoretic Analysis. -- Group-Theoretic Analysis of Square Lattice. -- Group-Theoretic Stability Analysis of Hexagonal Lattice. -- Spectrum Analysis of Population Data in German Reunification. -- Locational Heterogeneity and Catastrophe in Two-Place Economy. -- Analysis of Break points. -- Part II Hierarchical Bifurcations and Invariant Patterns. -- Racetrack Economy: Hierarchical Bifurcation and Invariant Patterns. -- Invariant Patterns on Square and Hexagonal Lattices. -- Global–Local Spatial Network. -- Spatial Period-Doubling Cascade in Long-Narrow Economy. -- Spatial Period-Doubling Cascade on Square Lattice. -- Equidistant Economy. Dive into the fascinating world of economic agglomerations with this interdisciplinary study, which is perfect for readers in nonlinear mathematics, economic geography, and spatial economics. This book uniquely bridges these fields, employing group-theoretic bifurcation analysis in nonlinear mathematics to establish a robust theoretical foundation for economic geographers and mathematicians alike. Explore innovative models that describe the pattern formation in economic agglomerations through worker migration between regions. Delve into multi-regional formulations of classic economic geography models, applied to various spatial platforms such as line segments, racetracks, squares, and hexagonal lattices. This book, ideal for researchers and practitioners, offers cutting-edge insights and methodologies for understanding the complexities of spatial economic agglomerations. Social sciences Mathematics. 69736 Mathematics in Business, Economics and Finance. 69739 Takayama, Yuki. author. (orcid)0000-0002-7638-4640 https://orcid.org/0000-0002-7638-4640 aut http://id.loc.gov/vocabulary/relators/aut 87514 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031716850 Printed edition: 9783031716874 Printed edition: 9783031716881 Interdisciplinary Applied Mathematics, 2196-9973 ; 61 70741 https://doi.org/10.1007/978-3-031-71686-7 ZDB-2-SMA ZDB-2-SXMS 64957 64957