Instability helps virtual flies to mate.

Abstract:

: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.

journal_name

Biol Cybern

journal_title

Biological cybernetics

authors

Hüls T

doi

10.1007/s00422-005-0581-z

keywords:

subject

Has Abstract

pub_date

2005-09-01 00:00:00

pages

222-9

issue

3

eissn

0340-1200

issn

1432-0770

journal_volume

93

pub_type

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