bifurcation
Bifurcation
Detects and navigates bifurcation points in dynamical systems where qualitative behavior changes.
Trit: 0 (ERGODIC - Coordinator between stable states) Color: #9966FF (Purple - neutral zone bridging warm/cold)
Core Concepts
Bifurcation Types
| Type | Description | GF(3) Mapping |
|---|---|---|
| Saddle-Node | Two equilibria collide and annihilate | PLUS ↔ MINUS collision |
| Hopf | Equilibrium → limit cycle | ERGODIC spawns oscillation |
| Pitchfork | Symmetry-breaking | One ERGODIC → two ±PLUS/MINUS |
| Transcritical | Exchange of stability | PLUS ↔ MINUS swap roles |
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