Instability helps virtual flies to mate

In this paper we perform a bifurcation analysis for a discrete time dynamical system, describing the behavior of a virtual fly, developed by Böddeker and Egelhaaf (2003). Like real blowflies, the virtual counterparts exhibit a dichotomous behavior: they catch small targets but follow big objects at...

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Bibliographic Details
Published in:Biological cybernetics 2005-09, Vol.93 (3), p.222-229
Main Author: Hüls, Thorsten
Format: Article
Language:English
Subjects:
Animals
Diptera - physiology
Dynamical systems
Flight, Animal
Models, Biological
Sexual Behavior, Animal - physiology
Studies
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Summary:In this paper we perform a bifurcation analysis for a discrete time dynamical system, describing the behavior of a virtual fly, developed by Böddeker and Egelhaaf (2003). Like real blowflies, the virtual counterparts exhibit a dichotomous behavior: they catch small targets but follow big objects at a constant distance. We consider this model for targets on linear and on circular trajectories. Then we transform the system into a ''frozen'' form, such that the position of the target is fixed. It turns out that the loss of stability of a fixed point in the frozen system due to a Neimark-Sacker bifurcation, explains the dichotomous behavior of the virtual fly.
ISSN:0340-1200
1432-0770
DOI:10.1007/s00422-005-0581-z