KAM golden-ratio invariant torus: phi = (1+sqrt(5))/2 solves phi^2 - phi - 1 = 0 (most irrational frequency)

Layer 1 — Physicsin the planetary-physics subtree

KAM golden-ratio-torus framework (Kolmogorov 1954 Dokl Akad Nauk SSSR 98, 527; Arnold 1963 Usp Mat Nauk 18, 13; Moser 1962 Nachr Akad Wiss Goetting 1). Setup: for a nearly-integrable Hamiltonian H = H_0(I) + epsilon H_1(I, theta), the KAM…

Related concepts

Kolmogorov-Arnold-Moser (KAM) theorem
Theorem: golden ratio phi = (1+sqrt(5))/2 satisfies phi^2 - phi - 1 = 0 (KAM most-irrational)

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