Summary
A third order differential equation suggested by a problem in power system is considered.
The combined application of very general results, namely the topological method of Wazewski[1,3], the extension theorem[1,5] and the topological properties of attractors[1,9] leads to a complete qualiiative description of the behaviour of the solutions of the equation.
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Szegö, G.P., Olech, C. & Cellina, A. On the stability properties of a third order system. Annali di Matematica 78, 91–103 (1968). https://doi.org/10.1007/BF02415111
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DOI: https://doi.org/10.1007/BF02415111