A computational tool for the reduction of nonlinear ODE systems possessing multiple scales

Keyphrases

• Computational Tools 100%
• Ordinary Differential Equations 100%
• System of Ordinary Differential Equations 100%
• Nonlinear Ordinary Differential Equations 100%
• Dynamical Model 50%
• Bifurcation 50%
• Dynamical Systems 50%
• Numerical Techniques 50%
• Physical Processes 50%
• Reduced Model 50%
• Automatically Identify 50%
• Analytical Techniques 50%
• Full System 50%
• Scale Separation 50%
• Small Parameter 50%
• Limit Cycle 50%
• Bifurcation Structure 50%
• System State 50%
• Characteristic Timescales 50%
• Hodgkin-Huxley 50%
• Discrete Event Times 50%
• System of Nonlinear Ordinary Differential Equations 50%
• Local Degree of Freedom 50%
• Structure Identification 50%
• Local Bifurcation 50%
• Changing Scale 50%
• Validity Domain 50%
• Differential-algebraic Model 50%
• Numerical Shooting Method 50%
• Hybrid Dynamical Systems 50%

Mathematics

• Equation System 100%
• Ordinary Differential Equation 100%
• State Variable 50%
• Dynamical System 25%
• Reduced Model 25%
• Timescale 25%
• Degree of Freedom 25%
• Limit Cycle 25%
• Dominates 25%
• Dynamical Model 25%
• System State 25%
• Characteristic Time 25%
• Shooting Method 25%
• Event Time 25%
• Hybrid Dynamical Systems 25%

Engineering

• State Variable 100%
• Multiple Scale 100%
• Equation System 100%
• Degree of Freedom 50%
• Event Time 50%
• Limit Cycle 50%
• System State 50%
• Characteristic Time 50%