Data-Centric Approach to Capture Non-Polynomial Nonlinear Dynamics

Mathematics

• Polynomial 100%
• Dynamical System 100%
• Dynamic Mode Decomposition 100%
• Polynomial Form 66%
• Decomposition Algorithms 33%
• Monomials 33%
• Cosine Function 33%
• Sine Function 33%
• Lie Derivative 33%
• Spectral Property 33%
• Interpretability 33%
• Basis Function 33%
• Nonlinear Problem 33%
• Nonlinear Term 33%
• Mathematical Method 33%

Engineering

• Observables 100%
• Non-Linear Dynamics 100%
• Mode Dynamic 60%
• Polynomial Form 40%
• Electric Power Systems 20%
• Applicability 20%
• Model System 20%
• Machine Learning Algorithm 20%
• Nonlinear Problem 20%
• Nonlinear Term 20%
• Broader Class 20%
• Numerical Methods 20%
• Radial Basis Function 20%
• Monomials 20%
• Cosine Function 20%
• Sine Function 20%
• Phase Composition 20%

Earth and Planetary Sciences

• Dynamical System 100%
• Machine Learning 33%
• Mathematical Method 33%