What are the trajectories of flying insects? Many flying insects tend to have very jagged trajectories. For moves of a fruit fly looks like a random walk. Is there any research on the properties of trajectories (e.g. their fractal dimension or mathematical models producing similar behaviour)? Besides the path of a single insect, I am also interested in the interaction of a small number of insects (e.g. 2 or 3). I am aware of the research in flocking and swarming (e.g. Tamas Vicsek, Anna Zafiris, Collective motion 2010) and of techniques of obtaining such trajectories (e.g. Danping Zou, Yan Qiu Chen, Acquiring 3D motion trajectories of large numbers of swarming animals or an open access pdf, 2009). However, I haven't found within them an answer to my particular question.

Quick search - Some articles that may interest you:

1. Random walk model of insect movements
Kareiva P. M., Shigesada N. (1983). Analyzing insect movement as a correlated random walk. Oecologia 56(2-3) 234-238

2. Artificial life model of flying insects and its comparison to real insects navigation strategies.
Dale K., Collett T. C. (2001). Using artificial evolution and selection to model insect navigation. Current Biology 11(17) 1305–1316

3. The last one is not about insects, but it's a trial to practical usage of the mathematical analisys of invertebrate movements.
Shimizu N. et al. (2002). Fractal analysis of Daphnia motion for acute toxicity bioassay. Environmental Toxicology 17(5) 441–448