Understanding two coupled oscillators generalizes to arbitrarily complex systems

Evidence

The case of two beads is a watershed: a reader comfortable with the motion of two beads is “good to go” to any number of beads and much more complex objects. We again consider only vertical motion for each bead. What can happen for two beads? Is sinusoidal motion obsolete for more complex objects? — Eric J. Heller, Why You Hear What You Hear- An…, 776

Categorization

• XREF: This pedagogical strategy — understanding the two-body case unlocks the general case — parallels the two-coupled-pendulum setup in many physics treatments and the ‘watershed’ framing used for two-well systems elsewhere.