Annali di Matematica Pura ed Applicata

, Volume 78, Issue 1, pp 91-103

First online:

On the stability properties of a third order system

  • G. P. SzegöAffiliated withUniversità di Milano
  • , C. OlechAffiliated withInstitut Matematiki, PAN
  • , A. CellinaAffiliated withUniversità di Milano

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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.