Title:  Chaotic Dynamics and Lattice Effects Documented in Experimental Insect Populations 
Speaker:  Shandelle M. Henson Professor and Chair Department of Mathematics Andrews University Berrien Springs, MI 
Abstract: 
Guided by the predictions of a discretetime mathematical model, we induced a sequence of bifurcations (dynamic changes) in laboratory insect populations by manipulating one of the biological parameters in the system. In particular, we were able to induce chaotic dynamics. The data from these 8yearlong time series show the fine structure of the deterministic chaotic attractor as well as lattice effects (dynamic effects arising from the fact that organisms come in discrete units). We show that "chaos" is manifest in discretestate noisy biological systems as a tapestry of patterns that come from the deterministic chaotic attractor and the lattice attractors, all woven together by stochasticity.
References

Location:  Palenske 227 
Date:  5/2/2013 
Time:  3:30 PM 
@abstract{MCS:Colloquium:ShandelleMHenson:2013:5:2, author = "{Shandelle M. Henson}", title = "{Chaotic Dynamics and Lattice Effects Documented in Experimental Insect Populations}", address = "{Albion College Mathematics and Computer Science Colloquium}", month = "{2 May}", year = "{2013}" }