Mathematical Principle and Fractal Analysis of Mesoscale Eddy

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.

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• Cibernética e teoria dos sistemas
• Matemática para engenheiros
• Engenharia do controlo automático

Mesoscale;eddy;Limit cycle;Fractal;Chaos Dimension