LEADER 03792nam 22006015 450 001 9910488714703321 005 20260126110413.0 010 $a981-16-1839-9 024 7 $a10.1007/978-981-16-1839-0 035 $a(CKB)5590000000518439 035 $a(MiAaPQ)EBC6676378 035 $a(Au-PeEL)EBL6676378 035 $a(OCoLC)1258671121 035 $a(PPN)258088117 035 $a(DE-He213)978-981-16-1839-0 035 $a(EXLCZ)995590000000518439 100 $a20210629d2021 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematical Principle and Fractal Analysis of Mesoscale Eddy /$fby Shu-Tang Liu, Yu-Pin Wang, Zhi-Min Bi, Yin Wang 205 $a1st ed. 2021. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2021. 215 $a1 online resource (260 pages) 225 1 $aIntelligent Technologies and Robotics Series 311 08$a981-16-1838-0 327 $aIntroduction -- Preliminaries -- Universal Mathematical Model of Mesoscale Eddy -- Semi-stable Limit Cycle in Mathematical Model of Mesoscale Eddy -- Semi-stable Limit Cycles and Mesoscale Eddies -- Example Verification -- Spatiotemporal Structure of Mesoscale Eddies: Self-similar Fractal Behavior -- Mesoscale Eddies: Disc and Columnar Shapes -- Fractal Analysis and Prediction of Mesoscale Eddy Spatiotemporal Complexity -- Nonlinear Characteristics of Universal Mathematical Model of Mesoscale Eddy -- Same Solution between Momentum Balance Equations and Mesoscale Eddies -- Momentum Balance Equation Based on Truncation Function and Mathematical Model of Mesoscale Eddies -- Interpolation Prediction of Mesoscale Eddies -- Random Elliptic Curve and Brownian Motion Trajectory of Mesoscale Eddy -- Mathematical Model for Edge Waves of Mesoscale Eddies and Its Spatio-temporal Fractal Structures. 330 $aThis book focuses on universal nonlinear dynamics model of mesoscale eddies. The results of this book are not only the direct-type applications of pure mathematical limit cycle theory and fractal theory in practice but also the classic combination of nonlinear dynamic systems in mathematics and the physical oceanography. The universal model and experimental verification not only verify the relevant results that are obtained by Euler's form but also, more importantly, are consistent with observational numerical statistics. Due to the universality of the model, the consequences of the system are richer and more complete. The comprehensive and systematic mathematical modeling of mesoscale eddies is one of the major features of the book, which is particularly suited for readers who are interested to learn fractal analysis and prediction in physical oceanography. The book benefits researchers, engineers, and graduate students in the fields of mesoscale eddies, fractal, chaos, and other applications, etc. 410 0$aIntelligent Technologies and Robotics Series 606 $aAutomatic control 606 $aEngineering mathematics 606 $aControl and Systems Theory 606 $aEngineering Mathematics 606 $aVòrtexs$2thub 606 $aModels matemàtics$2thub 608 $aLlibres electrònics$2thub 615 0$aAutomatic control. 615 0$aEngineering mathematics. 615 14$aControl and Systems Theory. 615 24$aEngineering Mathematics. 615 7$aVòrtexs 615 7$aModels matemàtics 676 $a620.1064015118 700 $aLiu$b Shu-Tang$0955438 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910488714703321 996 $aMathematical Principle and Fractal Analysis of Mesoscale Eddy$92161920 997 $aUNINA