On the stability properties of a third order system

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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).

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  • Differential Equation
  • Power System
  • General Result
  • Stability Property
  • Topological Property