{"slug":"oip-invariant-17-317-attractors-dynamical-systems-chaos","title":"Invariant 3.17 — Attractors / dynamical systems / chaos","body":"## 3.17 Attractors / dynamical systems / chaos\nSystems fall toward characteristic states; determinism can still be unpredictable. **Sources:** Poincaré; Lorenz (strange attractors); Feigenbaum (universal period-doubling constant); Thom (catastrophe theory). **Domains:** weather, populations, hearts, economies. **Dual:** fixed-point stability. **Tier:** T0/T1. **Falsifier:** n/a (mathematical). **Maps:** A₇, bounded chaos.\n\n---\n\n## Corpus map\n- Same invariant, other planes: [Catalogue node C23](/a/oip-node-c23-attractors-dynamical-systems) · [Encyclopedia C23](/a/convergence-encyclopedia-c23)\n- Inventory hub: [Convergence Catalogue — Public Article](/a/oip-convergence-public-article)","register":"oip_protocol","tags":["philosophy","oip","catalogue","invariant","systems-theory"],"category":null,"style":{},"claims":[{"id":"c1","text":"Systems fall toward characteristic states","section":"## 3.17 Attractors / dynamical systems / chaos","tier":"mechanistic","source_ids":[],"source_status":"unsourced","why_material":"Core assertion defining attractors in dynamical systems"},{"id":"c2","text":"Determinism can still be unpredictable","section":"## 3.17 Attractors / dynamical systems / chaos","tier":"mechanistic","source_ids":[],"source_status":"unsourced","why_material":"Core assertion on chaos within deterministic systems"},{"id":"c3","text":"The topic draws from Poincaré, Lorenz (strange attractors), Feigenbaum (universal period-doubling constant), and Thom (catastrophe theory)","section":"## 3.17 Attractors / dynamical systems / chaos","tier":"anecdotal","source_ids":[],"source_status":"unsourced","why_material":"Historical attribution of foundational contributors"}],"sources":[],"prov":{"model":"Fable 5 (Claude Code)","action":"write"}}