Inner Attractors implements the EOC (Engagement-Openness-Consolidation) model, a three-variable dynamical system mathematically identical to the Lorenz attractor. The site visualizes how psychological transition dynamics may follow the same coupling topology as the canonical chaotic attractor — two wings, a control parameter, and a bifurcation structure that matches clinical observation.

Near major psychological transitions, a minimal set of order parameters — Engagement (approach vs. withdrawal), Openness (plasticity vs. rigidity), and Consolidation (pattern formation vs. dissolution) — may locally exhibit Lorenz-type dynamics. The epistemological status is a plausible reduced-model conjecture consistent with the nonlinear psychotherapy literature.

• Understand — intuition: the two wings, driving intensity, sensitive dependence
• The Science — formal framework: equations, six testable predictions, bifurcation analysis, literature
• Externally Driven — interactive: watch the attractor respond to cycling driving intensity
• The Controls — interactive: adjust sigma, rho, beta; bifurcation diagram; Lyapunov exponent
• The Vectors — interactive: velocity arrows showing the three equations at each moment
• Internally Driven — interactive: rho as a state variable the system sets itself
• FAQ — 23 questions across model, math, tools, and research