LEADER 03372nam 22005055 450 001 9910908375303321 005 20241115115747.0 010 $a9783031716867 010 $a3031716868 024 7 $a10.1007/978-3-031-71686-7 035 $a(MiAaPQ)EBC31783870 035 $a(Au-PeEL)EBL31783870 035 $a(CKB)36584164300041 035 $a(DE-He213)978-3-031-71686-7 035 $a(EXLCZ)9936584164300041 100 $a20241115d2024 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aBifurcation Theory of Pattern Formation in Economic Geography /$fby Kiyohiro Ikeda, Yuki Takayama 205 $a1st ed. 2024. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024. 215 $a1 online resource (0 pages) 225 1 $aInterdisciplinary Applied Mathematics,$x2196-9973 ;$v61 311 08$a9783031716850 311 08$a303171685X 327 $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. 330 $aDive into the fascinating world of economic agglomerations with this interdisciplinary study, which is perfect for readers in nonlinear mathematics, economic geography, and spatial economics. This book uniquely bridges these fields, employing group-theoretic bifurcation analysis in nonlinear mathematics to establish a robust theoretical foundation for economic geographers and mathematicians alike. Explore innovative models that describe the pattern formation in economic agglomerations through worker migration between regions. Delve into multi-regional formulations of classic economic geography models, applied to various spatial platforms such as line segments, racetracks, squares, and hexagonal lattices. This book, ideal for researchers and practitioners, offers cutting-edge insights and methodologies for understanding the complexities of spatial economic agglomerations. 410 0$aInterdisciplinary Applied Mathematics,$x2196-9973 ;$v61 606 $aSocial sciences$xMathematics 606 $aMathematics in Business, Economics and Finance 615 0$aSocial sciences$xMathematics. 615 14$aMathematics in Business, Economics and Finance. 676 $a519 700 $aIkeda$b Kiyohiro$066979 701 $aTakayama$b Yuki$01775852 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910908375303321 996 $aBifurcation Theory of Pattern Formation in Economic Geography$94291052 997 $aUNINA