Decay of Pulsation
At small (but still positive) values of and, the pulsation decays slowly, and this decay can be described analytically. In the first approximation parameters and give additive contributions to the decay; the decay rate, as well as the amplitude and phase of the nonlinear oscillation can be approximated with elementary functions in the similar manner, as the period above. This allows to approximate the solution of the initial equation; and the error of such approximation is small compared to the difference between behavior of the idealized Toda oscillator and behavior of the experimental realization of the Toda oscillator as self-pulsing laser at the optical bench, although, qualitatively, a self-pulsing laser shows very similar behavior.
Read more about this topic: Toda Oscillator
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