A detectability criterion and data assimilation for nonlinear differential equations

Keyphrases

• Data Assimilation 100%
• Estimation Error 100%
• Lyapunov Exponent 100%
• Nonlinear Differential Equations 100%
• State Space 50%
• Numerical Experiments 50%
• Data Assimilation Method 50%
• Flow Map 50%
• Exponential Convergence 50%
• Nonlinear Ordinary Differential Equations 50%
• Noisy Observations 50%
• Error Dynamics 50%
• Incomplete Observations 50%
• Lorenz 96 50%
• Observation Matrix 50%
• Compact State 50%
• Burgers Equation 50%
• Sequential Data Assimilation 50%
• Detectability Index 50%
• Convergence of the Method 50%

Mathematics

• Detectability 100%
• nonlinear differential equation 100%
• Lyapunov Exponent 100%
• Matrix 50%
• Ordinary Differential Equation 50%
• Numerical Experiment 50%
• Exponential Convergence 50%