Abstract
The amplitude of the ac-voltage resulting from an external periodic modulation of the current density applied to BSN crystals exhibits a Lorentzian type resonance prior to a Hopf bifurcation. The resonance peak is near the internal oscillation frequency which would appear at the bifurcation. As the bifurcation point is approached the resonance peak becomes narrower and higher, in fair agreement with theoretical predictions. Increasing the amplitude of the modulation signal results in a loss of the frequency selectivity and a saturation of the gain.
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Schuster, H.G.: Deterministic chaos. Weinheim: VCH publishers 1984
Universality in chaos. Cvitanovic, P. (ed.). Bristol: Adam Hilger 1984
Heldstab, J., Thomas, H., Geisel, T., Radons, G.: Z. Phys. B—Condensed Matter50, 141 (1983);
Geisel, T., Heldstab, J., Thomas, H.: Z. Phys. B—Condensed Matter55, 165 (1984)
Grossmann, S.: Z. Phys. B—Condensed Matter57, 77 (1984)
Wiesenfeld, K., Mc Namara, B.: Phys. Rev. Lett.55, 13 (1985); Phys. Rev. A33, 629 (1986)
Bryant, P., Wiesenfeld, K.: Phys. Rev. A33, 2525 (1986)
Lücke, M., Schank, F.: Phys. Rev. Lett.54, 1465 (1985)
Hackenbracht, D., Höck, K.-H.: J. Phys. C19, 4095 (1986)
Jeffries, C., Wiesenfeld, K.: Phys. Rev. A31, 1077 (1985)
Derighetti, B., Ravani, M., Stoop, R., Meier, P.F., Brun, E., Badii, R.: Phys. Rev. Lett.55, 1746 (1985)
Martin, S., Martienssen, W.: Phys. Rev. A34, 4523 (1986)
Martin, S., Martienssen, W.: Physica23D, 195 (1986)
Martin, S., Leber, H., Martienssen, W.: Phys. Rev. Lett.53, 303 (1984)
Martin, S., Martienssen, W.: Dimensions and entropies in chaotic systems. Mayer-Kress, B. (ed.), p. 191. Berlin, Heidelberg, New York: Springer 1986
Martin, S., Martienssen, W.: Phys. Rev. Lett.56, 1522 (1986)
Franck, U.F.: Angew. Chem.90, 1 (1978)
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Dedicated to Professor Harry Thomas on the occasion of his 60th birthday
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Martin, S., Martienssen, W. Resonance behaviour near Hopf bifurcations in the electrical conductivity of BSN crystals. Z. Physik B - Condensed Matter 68, 299–304 (1987). https://doi.org/10.1007/BF01304243
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DOI: https://doi.org/10.1007/BF01304243