Examples

Paramecium and Didinium

This is a well-studied, unicellular predator-prey system with interesting non-linear dynamics.

Unicellular predation in action

To see these guys in action, check out a couple minutes of this video:

Predator-prey dynamics and manifold reconstruction

Below we provide plots of the time series of Paramecium and Didinium, as well as their manifold reconstructions alongside the full system manifold. Specifically:

  • The first two panels are the time series for the predator-prey system.
  • The third and forth panels show the manifold reconstructions from each time series.
  • The fifth panel gives a view of the full manifold.

Note that corresponding points can be simultaneously highlighted across plots using the select tool.

Here are the plots!.