EQUIVALENT POWER-FORM REPRESENTATION OF THE FRACTAL TODA OSCILLATOR

This paper aims to derive the equivalent power-form representation for the Toda oscillator, which describes the intensity fluctuations of Nd:YAG lasers. A two-scale dimension transform is introduced to study the transient fractal response of Toda oscillator. Numerical simulations indicate that for increasing values of the fractal exponent alpha, the frequency of the Toda oscillator increases.

Automated summary

This paper investigates the power-form representation and transient fractal response of the Toda oscillator, finding that the oscillator frequency increases with the fractal exponent alpha.