Pair-Coupled Oscillators

by James W. Swift

Linear oscillators in (1, -2, 1) invariant space.

Linear Oscillator in invariant space with (x1, x2, x3).(1, -2, 1) = 0.
I.C. is (2, 1, 0).
Coupling constant gamma = (9/8)^2 - 1.
T1/T2 = 9/8.

Linear Oscillator in invariant space with (x1, x2, x3).(1, 0, -1) = 0.
I.C. is (1, 0, 1).
Coupling constant gamma = ((9/8)^2 - 1)/3.
T1/T3 = 9/8.

Linear Oscillator in invariant space with (x1, x2, x3).(1, 0, -1) = 0.

I.C. is (1, -0.5, 1).
Coupling constant gamma = ((9/8)^2 - 1)/3.
T1/T3 = 9/8.