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Mathematical Principle and Fractal Analysis of Mesoscale Eddy

Liu, Shu-Tang Wang, Yu-Pin Bi, Zhi-Min Se alle
Innbundet / 2021 / Engelsk

Produktdetaljer

ISBN
9789811618383
Publisert
2021-06-30
Utgiver
Vendor
Springer Verlag, Singapore
Høyde
235 mm
Bredde
155 mm
Aldersnivå
Research, P, 06
Språk
Product language
Engelsk
Format
Product format
Innbundet

Forfatter
Liu, Shu-Tang
Wang, Yu-Pin
Bi, Zhi-Min
Wang Yin

Biographical note

Shu-Tang Liu Professor and Tutor of doctoral student, School of Control Science and Engineering, Shandong University. The research areas are theory and applications of fractal control, nonlinear control, chaos and control, bifurcation control theory and applications, physical oceanography, modeling and analysis of marine ecology and marine environment, etc. One book has been published by Springer (Shu-Tang Liu and Pei Wang, Fractal control theory, Springer, 2018.5). He has published more than 150 papers in journals, such as Nonlinear Analysis: Real World Applications, IEEE Trans. Circuits and Systems, Fractal, IEEE Trans. on Nano Bioscience, IEEE Communications Letters, Complexity, Nonlinear Dynamics, International Journal of Bifurcation and Chaos, and so on. He has presided more than 10 national science projects, including one national key project of natural science foundation of China, one national natural science foundation of China and Shandong joint project, five natural science foundation of China, and two central military commission science and technology commission, national defense science and technology innovation zone military engineering projects, and two natural science foundation of Shandong Province. In 2004, he won the national award for 100 excellent doctoral dissertations. 

Mathematical Principle and Fractal Analysis of Mesoscale Eddy

Liu, Shu-Tang Wang, Yu-Pin Bi, Zhi-Min Se alle
Innbundet / 2021 / Engelsk
Liu, Shu-Tang Wang, Yu-Pin Bi, Zhi-Min Se alle
Innbundet / 2021 / Engelsk
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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.
Les mer
Introduction.- 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.
Les mer
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.
Les mer
Presents the universal nonlinear dynamics model of mesoscale eddy Studies comprehensively mesoscale eddy Provides in-depth treatment of fractal analysis and prediction of mesoscale eddy

Relaterte produkter

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.
Les mer
Introduction.- 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.
Les mer
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.
Les mer
Presents the universal nonlinear dynamics model of mesoscale eddy Studies comprehensively mesoscale eddy Provides in-depth treatment of fractal analysis and prediction of mesoscale eddy

Produktdetaljer

ISBN
9789811618383
Publisert
2021-06-30
Utgiver
Vendor
Springer Verlag, Singapore
Høyde
235 mm
Bredde
155 mm
Aldersnivå
Research, P, 06
Språk
Product language
Engelsk
Format
Product format
Innbundet

Forfatter
Liu, Shu-Tang
Wang, Yu-Pin
Bi, Zhi-Min
Wang Yin

Biographical note

Shu-Tang Liu Professor and Tutor of doctoral student, School of Control Science and Engineering, Shandong University. The research areas are theory and applications of fractal control, nonlinear control, chaos and control, bifurcation control theory and applications, physical oceanography, modeling and analysis of marine ecology and marine environment, etc. One book has been published by Springer (Shu-Tang Liu and Pei Wang, Fractal control theory, Springer, 2018.5). He has published more than 150 papers in journals, such as Nonlinear Analysis: Real World Applications, IEEE Trans. Circuits and Systems, Fractal, IEEE Trans. on Nano Bioscience, IEEE Communications Letters, Complexity, Nonlinear Dynamics, International Journal of Bifurcation and Chaos, and so on. He has presided more than 10 national science projects, including one national key project of natural science foundation of China, one national natural science foundation of China and Shandong joint project, five natural science foundation of China, and two central military commission science and technology commission, national defense science and technology innovation zone military engineering projects, and two natural science foundation of Shandong Province. In 2004, he won the national award for 100 excellent doctoral dissertations. 

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