DYNAMICSADVANCED
Lyapunov / Equilibrium
An energy-like function proves a system settles down — and bounds how fast.
How it works
- Invent an 'energy' that always falls along the system's path.
- Falling energy traps the system: it must settle.
- Steepness bounds the waiting time to rest.
Use → Stability checks for cities, markets, queues.
Watch out → Assuming every system has one — some never settle, and that is the finding.
Try it → Track total queue length as energy in any flow you manage.
REDCAPE jobs → Reason
Free sources → Coursera M7 (Lyapunov Functions)
Attach to a lattice — combines with
Different families, shared jobs. Disagreement between them is where insight lives.
LINEAR & NONLINEAR
Categorical & Threshold Models
Buckets and cutoffs turn messy attributes into testable if-then rules.
SHARED JOB: REASON
DISTRIBUTIONSCentral Limit & Six Sigma
Sample averages settle to normal; variation reduction pays until returns diminish.
SHARED JOB: REASON
NETWORKSNetwork Structure & Formation
Degree, clustering, bridges and formation logic predict what flows — and what breaks.
SHARED JOB: REASON