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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
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Abstract

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.

Keywords

Periodic Orbit Equilibrium Point Closed Orbit Periodic Trajectory Stable Equilibrium Point 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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