unstable-manifold
Manifold of points diverging from equilibrium
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Manifold of points diverging from equilibrium
Behaviour Surprisal Analysis
Coordinate changes preserving dynamics
Manifold of points converging to equilibrium
Systems varying with external parameters
No eigenvalues on imaginary axis (robust dynamics)
Symmetric bifurcation with symmetry breaking
GitHub interactome explorer for bmorphism/plurigrid ecosystem. Maps collaborations across AlgebraicJulia, Topos Institute, Anthropic, and MCP servers. Use for discovering cobordisms between research communities...
Path traced by solution through phase space
Scalar function decreasing along trajectories
Bifurcation creating limit cycle from equilibrium
Invariant set attracting nearby trajectories
Deterministic color generation with SplitMix64, GF(3) trits, and MCP. Colors are the perceptual rendering of solved constraint systems.
Gay Monte Carlo Measurements
One-parameter group of diffeomorphisms generated by vector field
Fixed points where vector field vanishes
Layer 4: IES Interactome Analytics with GF(3) Momentum Tracking
Assignment of vectors to points in phase space defining dynamics
Closed trajectory in phase space
Julia package equivalents for 137 K-Dense-AI scientific skills. Maps Python bioinformatics, chemistry, ML, quantum, and data science packages to native Julia ecosystem.
Interacting dynamical systems
Chemical Reaction Network topology for generating and analyzing reaction
Layer 5: SDE-Based Learning Analysis via Langevin Dynamics
Coupled oscillators with sinusoidal coupling
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