lyapunov-stability
Lyapunov stability analysis for agent systems. Is your fleet converging, diverging, or oscillating?
Uses real mathematics — numerical differentiation, Hessian analysis, positive definiteness checking, and basin of attraction estimation. Zero dependencies (no numpy).
Usage
from lyapunov_stability import LyapunovAnalyzer
analyzer = LyapunovAnalyzer()
# Analyze V = x^2 + y^2 (stable paraboloid)
result = analyzer.analyze(
V=lambda x, y: x**2 + y**2,
dVdx=lambda x, y: 2*x,
dVdy=lambda x, y: 2*y,
equilibrium=(0.0, 0.0),
)
print(result.stability) # STABLE
print(result.is_positive_definite) # True
print(result.basin_radius) # 4.99+ (large basin)
Supports 2D systems. Analytical or numerical gradients. Central difference approximation.
pip install lyapunov-stability
1 maintainer
Metadata
1 maintainer
Release files for lyapunov-stability 0.1.0
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