Application of the describing function to the Danziger-Elmegreen equations
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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.
KeywordsPeriodic Orbit Equilibrium Point Closed Orbit Periodic Trajectory Stable Equilibrium Point
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