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210702s2021 si o 000 0 eng d |
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|a 9789811618390
|q (electronic bk.)
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|a 9811618399
|q (electronic bk.)
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|z 9811618380
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|z 9789811618383
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|a 10.1007/978-981-16-1839-0
|2 doi
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| 035 |
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|a (OCoLC)1258671121
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|a (OCLCCM-CC)1258671121
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|a YDX
|b eng
|e rda
|c YDX
|d NOC
|d EBLCP
|d GW5XE
|d OCLCO
|d OCLCF
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| 049 |
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|a MAIN
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| 050 |
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|a TA357.5.T87
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| 072 |
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7 |
|a TEC004000
|2 bisacsh
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| 100 |
1 |
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|a Liu, Shu-Tang,
|e author.
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| 245 |
1 |
0 |
|a Mathematical principle and fractal analysis of mesoscale eddy /
|c Shu-Tang Liu, Yu-Pin Wang, Zhi-Min Bi, Yin Wang, authors.
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| 264 |
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1 |
|a Singapore :
|b Springer,
|c 2021.
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| 300 |
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|a 1 online resource
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 520 |
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|a This 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.
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| 505 |
0 |
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|a Intro -- Preface -- Contents -- Abbreviations -- Symbols -- 1 Introduction -- 2 Preliminaries -- 2.1 Limit Cycle and Semi-stable Limit Cycle -- 2.2 Criterion of Semi-stable Limit Cycle -- 2.2.1 Limit Cycles of Oscillatory Approach and Monotone Approach -- 2.2.2 Criterions -- 2.3 Feature Scale, Scale-Free Domain, Fractal, Random Fractal, Dimension -- 2.4 Iterative Function System and Fractal -- 2.5 Dissipative System -- 2.6 Attractor, Attracting Set, Basin of Attraction, Strange Attractor, and Semi-strange Attractor
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| 505 |
8 |
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|a 2.7 Relationship between Semi-stable Limit Cycles and Semi-strange Attractors -- 2.8 Elementary Reaction and Reaction Rate -- 2.9 Lagrangian Particle Dynamic System -- 3 Universal Mathematical Model of Mesoscale Eddy -- 3.1 Mesoscale Eddy -- 3.2 Mathematical Model of Mesoscale Eddy -- 3.2.1 Bounded Motion -- 3.2.2 Movement Asymptotic Unity and Uniform Tendency -- 3.3 Universal Mathematical Model of Mesoscale Eddy -- 3.3.1 Momentum of a Stochastic Ellipse -- 3.3.2 Elementary Reaction Rate -- 3.3.3 Basic Mathematical Model of Mesoscale Eddy -- 3.3.4 Universal Mathematical Model of Mesoscale Eddy
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| 505 |
8 |
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|a 4.5 Externally Unstable and Internally Stable Semi-stable Limit Cycle -- 4.6 Externally Stable and Internally Unstable Semi-stable Limit Cycle -- 5 Semi-stable Limit Cycles and Mesoscale Eddies -- 5.1 Semi-stable Limit Cycles and Mesoscale Cold Eddies -- 5.2 Semi-stable Limit Cycles and Mesoscale Warm Eddies -- 6 Example Verification -- 6.1 Basic Method -- 6.2 Numerical Experiment -- 6.2.1 Value in Special Circumstances -- 6.2.2 Full Parameter Case -- 6.2.3 Clockwise Model -- 6.2.4 Anti-clockwise Model -- 6.2.5 Algorithm Parallelization and Model Checking in Global Oceans
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| 505 |
8 |
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|a 7 Spatiotemporal Structure of Mesoscale Eddies: Self-similar Fractal Behavior -- 7.1 Spatiotemporal Fractal Structure of Mesoscale Warm Eddy -- 7.2 Spatiotemporal Fractal Structure of Mesoscale Cold Eddy -- 7.3 Self-similar Fractal Structure under Affine Transformation -- 7.3.1 Transformation Relations of Spatial Coordinates -- 7.3.2 Spatial Structure -- 8 Mesoscale Eddies: Disk and Columnar Shapes -- 8.1 The Specific Implementation Process of Water Particle Motion ... -- 8.1.1 Specific Transformation -- 8.1.2 Disk-Shaped Mesoscale Cold Eddy
|
| 650 |
|
0 |
|a Eddies
|x Mathematical models.
|
| 650 |
|
7 |
|a Eddies
|x Mathematical models.
|2 fast
|0 (OCoLC)fst00902406
|
| 655 |
|
4 |
|a Electronic books.
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| 700 |
1 |
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|a Wang, Yu-Pin,
|e author.
|
| 700 |
1 |
|
|a Bi, Zhi-Min,
|e author.
|
| 700 |
1 |
|
|a Wang, Yin,
|e author.
|
| 776 |
0 |
8 |
|c Original
|z 9811618380
|z 9789811618383
|w (OCoLC)1241731415
|
| 903 |
|
|
|a HeVa
|
| 929 |
|
|
|a oclccm
|
| 999 |
f |
f |
|i 4cb34aa7-d41c-5441-8399-daf5b1033203
|s d77630df-79e4-5e0c-8375-ea80c8e0c363
|
| 928 |
|
|
|t Library of Congress classification
|a TA357.5.T87
|l Online
|c UC-FullText
|u https://link.springer.com/10.1007/978-981-16-1839-0
|z Springer Nature
|g ebooks
|i 12629171
|
