Abstract
We report some results of analogue simulation for the Duffing oscillator with fluctuating elastic constant. We investigate both static and dynamical properties of such system under non-perturbative conditions, i.e. in the limit of strong non-linearity and large fluctuation intensity. Experimental measurements are compared with theoretical predictions obtained by generalizing the results of the foregoing paper. We also analyze effects due to finite correlation time of the multiplicative noise. The perturbation approximations available in the literature are verified, while a completely new asymptotic behaviour is observed in the limit of very long correlation times.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Marchesoni, F., Pochini, M., Santucci, S.: Z. Phys. B-Condensed Matter66, 243 (1987)
Faetti, S., Festa, C., Fronzoni, L., Grigolini, P., Martano, P.: Phys. Rev. A30, 3252 (1984)
Fronzoni, L., Grigolini, P., Martano, P.: Phys. Rev. A31, 3999 (1985)
Hänggi, P., Mroczkowski, T.J., Moss, F., McClintock, P.V.E.: Phys. Rev. A32, 695 (1985)
Fronzoni, L., Grigolini, P., Hänggi, P., Moss, F., Mannella, R., McClintock, P.V.E.: Phys. Rev. A33, 3320 (1986)
Moss, F., Hänggi, P., Mannella, R., McClintock, P.V.E.: Phys. Rev. A33, 4459 (1986)
Moss, F., Kardepudi, D.K., McClintock, P.V.E.: Phys. Lett.112A, 293 (1985)
Seshadri, V., West, B.J., Lindenberg, K.: Physica107A, 219 (1981)
Renz, W., Marchesoni, F.: Phys. Lett.112A, 124 (1985)
Hernandez-Machado, A., San Miguel, M.: Math. Phys.25, 1066 (1984)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Pochini, M., Santucci, S. & Marchesoni, F. Analogue simulation of stochastic parametric oscillators. Z. Physik B - Condensed Matter 66, 249–255 (1987). https://doi.org/10.1007/BF01311662
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01311662