Library / Dynamics / Lyapunov / Equilibrium
Lyapunov / Equilibrium
An energy-like function proves a system settles down — and bounds how fast.
INTERACTIVE LAB
Tolerance sandbox (original recreation)
happy 76% • avg. similar neighbors 49% • red ring = wants to move
DYNAMICS
When to use / misuse
Use → Stability checks for cities, markets, queues.
Difficulty → Advanced
REDCAPE → Reason
agent: lyapunov-checker family: Dynamics combine_with: [two other families] rule: state failure mode before acting
Free sources: Coursera M7 (Lyapunov Functions)
Attach to a lattice — combines with
Different families, shared jobs. Click to open alongside.
LINEAR
Categorical & Threshold Models
Buckets and cutoffs turn messy attributes into testable if-then rules.
SHARED JOB: REASON
DECISIONSCentral Limit & Six Sigma
Sample averages settle to normal; variation reduction pays until Fisher bites back.
SHARED JOB: REASON
LINEARLinear Regression
Best-fit line plus a causation audit. A big coefficient is not a big cause.
SHARED JOB: REASON