Bulletin of Mathematical Biology

, Volume 38, Issue 4, pp 453–458 | Cite as

Application of the describing function to the Danziger-Elmegreen equations

  • N. MacDonald


The describing function method is used as a guide to the behaviour of the solutions of the equations of Danziger and Elmergreen, proposed as a model of periodic catatonia. The method suggests that whenever the equilibrium point is unstable it is surrounded by a stable closed periodic orbit. This is confirmed in specific cases by computation.


Periodic Orbit Equilibrium Point Closed Orbit Periodic Trajectory Stable Equilibrium Point 
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Copyright information

© Society for Mathematical Biology 1976

Authors and Affiliations

  • N. MacDonald
    • 1
  1. 1.Department of Natural PhilosophyThe UniversityGlasgowU.K.

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