Lesson 5: Selection, Species, Will

学习目标

• Analyze catalytic chains under constant organization and derive the six (and generally 2n) fixed points of the three-membered and n-membered systems.
• State the rate-constant and total-concentration conditions k1 ≫ kj and c0 > Σ_{}^{n} (k1 − kj)/kj for a stable stationary state, and explain why the chain cannot stabilize a joint function.
• Show how branched catalytic couplings behave and why their stable fixed point migrates toward one of the competing corners.
• Define hypercyclic growth functions via the exponent matrix P, the homogeneity condition Σ p_ik = p, and cyclic symmetry, and distinguish elementary from compound hypercycles.