Pillar V: Lyapunov & Phase Dynamics // Zoth Math Academy

Pillar V: Lyapunov & Phase Dynamics Formal Systems

Attractors, dynamic coherence, and stability bounds

• Max Lyapunov exponent λ: −0.42 (stable flow)
• System coherence index C: 0.918
• Phase-space measure: Ergodic Liouville

Closed-Form Mathematical Formulation

‖δZ(t)‖ ≈ ‖δZ(0)‖ · exp(λ t)

Advanced Tensor Equation

C = exp(−H(X) / H_max)