Lyapunov, singular and bred vectors in a multi-scale system: An empirical exploration of vectors related to instabilities

Mathematics

• Singular Vectors 100%
• Lyapunov 73%
• Atmosphere 30%
• Ocean 24%
• False Alarm 6%
• Nonlinear Process 6%
• Degradation 6%
• Dynamical Model 5%
• Skills 5%
• Rescaling 5%
• Systems Theory 5%
• Model 4%
• Predict 4%
• Predictors 4%
• Time Scales 4%
• Similarity 4%
• Physics 4%
• Unstable 4%
• Decay 4%
• Oscillation 3%
• Orbit 3%
• Optimization 3%
• Dynamical system 3%
• Subspace 3%
• Perturbation 3%
• Dependent 3%
• Interval 2%
• Zero 2%

Physics & Astronomy

• oceans 16%
• atmospheres 13%
• Southern Oscillation 7%
• atmospheric models 5%
• false alarms 5%
• dynamical systems 3%
• coupled modes 3%
• tendencies 3%
• degradation 2%
• intervals 2%
• orbits 2%
• perturbation 2%
• optimization 2%
• physics 2%
• decay 2%
• predictions 2%

Engineering & Materials Science

• Toys 4%
• System theory 4%
• Orbits 3%
• Physics 3%
• Dynamical systems 3%
• Degradation 2%