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020 _a9783031716867
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024 7 _a10.1007/978-3-031-71686-7
_2doi
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100 1 _aIkeda, Kiyohiro.
_eauthor.
_0(orcid)0000-0002-0291-4346
_1https://orcid.org/0000-0002-0291-4346
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_987513
245 1 0 _aBifurcation Theory of Pattern Formation in Economic Geography
_h[electronic resource] /
_cby Kiyohiro Ikeda, Yuki Takayama.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aIX, 261 p. 110 illus., 53 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aInterdisciplinary Applied Mathematics,
_x2196-9973 ;
_v61
505 0 _a -- 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.
520 _aDive 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.
650 0 _aSocial sciences
_xMathematics.
_969736
650 1 4 _aMathematics in Business, Economics and Finance.
_969739
700 1 _aTakayama, Yuki.
_eauthor.
_0(orcid)0000-0002-7638-4640
_1https://orcid.org/0000-0002-7638-4640
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_987514
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031716850
776 0 8 _iPrinted edition:
_z9783031716874
776 0 8 _iPrinted edition:
_z9783031716881
830 0 _aInterdisciplinary Applied Mathematics,
_x2196-9973 ;
_v61
_970741
856 4 0 _uhttps://doi.org/10.1007/978-3-031-71686-7
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