Complex dynamics in a model microbial system

@inproceedings{Kot1992ComplexDI,
  title={Complex dynamics in a model microbial system},
  author={Mark Kot and Gary S. Sayler and T. Walter Schultz},
  year={1992}
}
The forced double-Monod model (for a chemostat with a predator, a prey and periodically forced inflowing substrate) displays quasiperiodicity, phase locking, period doubling and chaotic dynamics. Stroboscopic sections reveal circle maps for the quasiperiodic regimes and noninvertible maps of the interval for the chaotic regimes. Criticality in the circle maps sets the stage for chaos in the model. This criticality may arise with an increase in the period or amplitude of forcing. 

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