A self-adaptative oscillator

European Physical Journal B

Volumn 9, Issue 1, 1999, Pages 159-165

  Boudaoud, A ^a   Couder, Y ^a   Amar, M Ben ^a  

^a ECOLE NORMALE SUPÉRIEURE   (France)

Author keywords

47.20.Ky Nonlinearity (including bifurcation theory); 68.45.Kg Dynamics; vibrations

Indexed keywords

EID: 0042826568     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100510050751     Document Type: Article

References (12)

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2. H.V. Helmholtz, Vorlesungen über Theoretische Physik (Ambrosuis Barth, Leipzig, 1908), Vol. III, p. 139. A more accessible reference is J.W. Rayleigh, The Theory of Sound (Dover publications, New York, 1945), p. 204.
3. H.V. Helmholtz, Vorlesungen über Theoretische Physik (Ambrosuis Barth, Leipzig, 1908), Vol. III, p. 139. A more accessible reference is J.W. Rayleigh, The Theory of Sound (Dover publications, New York, 1945), p. 204.
4. M. Brazovskaia, P. Pieranski, Phys. Rev. Lett. 80, 5595 (1998).
5. M. Airiau, Étude des vibrations des membranes de savon, DEA Report, ENS, Paris, 1986.
6. M. Brazovskaia, H. Dumoulin, P. Pieranski, Phys. Rev. Lett. 76, 1655 (1996).
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8. Preliminary experiments were performed using a thick cylindrical rubber string. The bead was a Teflon cylinder. The hole in the center was just a little larger than the string diameter and the intermediate space was filled with oil so that the friction between the two was of a viscous type. The same behaviour of self-adaptation was observed. This setup was abandoned as the control of the mechanical forcing was less precise, and because some additional difficulties arose from the slow time evolution of the rubber's elastic properties.
9. P.M. Morse, Vibration and Sound (McGraw Hill, New York, 1936), p. 94.
10. P.M. Morse, K.V. Ingard, Theoretical Acoustics (McGraw Hill, New York, 1968), p. 856.
11. A. Boudaoud, Y. Couder, M. Ben Amar, Self-adaptation in vibrating soap films, Phys. Rev. Lett, (submitted).
12. M. Faraday, Philos. Trans. Roy. Soc. London 52, 299 (1831).