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 [Formula: see text], the frequency of the Toda oscillator increases.