Resonant behavior of a fractional oscillator with fluctuating frequency.

@article{Soika2010ResonantBO,
  title={Resonant behavior of a fractional oscillator with fluctuating frequency.},
  author={Erkki Soika and Romi Mankin and Ain Ainsaar},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2010},
  volume={81 1 Pt 1},
  pages={011141}
}
The long-time behavior of the first moment for the output signal of a fractional oscillator with fluctuating frequency subjected to an external periodic force is considered. Colored fluctuations of the oscillator eigenfrequency are modeled as a dichotomous noise. The viscoelastic type friction kernel with memory is assumed as a power-law function of time. Using the Shapiro-Loginov formula, exact expressions for the response to an external periodic field and for the complex susceptibility are… CONTINUE READING

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