Abstract
In a preceding paper, Poggio and Reichardt (1973a), a phenomenological theory describing the visual orientation behaviour of fixed flying flies (Musca domestica) towards elementary patterns was presented. Some of the problems raised in this first paper are treated here in more detail. The mapping between the position dependent torque distribution — D(ψ) characteristics — associated with a given pattern and the stationary orientation distribution p(ψ), is studied taking into account that the fluctuation process (generated by the fly) is coloured gaussian noise. Under certain critical conditions this may lead to an “early symmetry breaking” in the mean values of the p(ψ) distribution. The validity of the “superposition principle” has also been examined. Although shift and superposition give the main qualitative features of the “attractiveness profile” D(ψ), associated with a 2-stripe pattern, superposition does not hold quantitatively for stripe separations up to about 80°. Evidence is presented suggesting that such an effect is due to inhibitory interactions between input channels of the fly's eye. Implications of this finding with respect to the problem of spontaneous pattern preference are also discussed.
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Geiger, G.: Optomotor responses of the fly Musca domestica to transient stimuli of edges and stripes. Kybernetik 16, 37–43 (1974)
Geiger, G., Poggio, T.: The orientation of flies towards visual patterns: on the search for the underlying functional interactions. Biol. Cybernetics 19 (1975) (in press)
Graham, B., Haken, H.: Generalized thermodynamic potential for Markoff systems in detailed balance. Z. Physik 243, 289 (1971)
Kasakov, I.E.: Automatic and remote control. Proc. I. Int. Congr. IFAC, Moscow 1960. Ed. Coales J. F.. London: Butterworth 1961
Kramers, H.A.: Brownian motion in a field of force. Physica VI, 4, 284 (1940)
Land, M.F., Collett, T.S.: Chasing behaviour of houseflies (Fannia canicularis). Z. comp. Phys. 89, 331 (1974)
Lindsey, W.C.: Synchronization systems in communication and control. Hemel-Hempstead: N. J. Prentice-Hall, Inc. 1972
Nicolis, G., Prigogine, I.: Fluctuations in nonequilibrium systems. Proc. nat. Acad. Sci. (Wash.). 68, 9, 2102 (1971)
Pick, B.: Visual flicker induces orientation behaviour in the fly Musca. Naturforsch. 29c, 310 (1974)
Poggio, T.: Processing of visual information in flies: from a phenomenological model towards the nervous mechanisms. Proc. of the I Symp. of the It. Soc. Biophysics, ed. A. Vecli Tipo Lito Parma 1974
Poggio, T., Reichardt, W.: A theory of the pattern induced flight orientation of the fly Musca domestica. Kybernetik 12, 185 (1973a)
Poggio, R., Reichardt, W.: Considerations on models of movement detection. Kybernetik 13, 223 (1973b)
Reichardt, W.: Musterinduzierte Flugorientierung der Fliege Musca domestica. Naturwissenschaften 60, 122 (1973)
Stratonovitch, R.L.: Topics in the theory of random noise I, II. New York: Gordon and Breach 1967
Virsik, R., Reichardt, W.: Tracking of moving objects by the fly Musca domestica. Naturwissenschaften 61, 132 (1974)
Wehrhahn, C., Reichardt, W.: Visual orientation of the fly Musca domestica towards a horizontal stripe. Naturwissenschaften 60, 203 (1973)
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Reichardt, W., Poggio, T. A theory of the pattern induced flight orientation of the fly Musca domestica II. Biol. Cybernetics 18, 69–80 (1975). https://doi.org/10.1007/BF00337127
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DOI: https://doi.org/10.1007/BF00337127