Title of article :
A necessary condition for the existence of periodic solutions of certain three dimensional autonomous systems
Author/Authors :
Bayat، نويسنده , , M. and Mehri، نويسنده , , B.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2009
Abstract :
In this article, we give a necessary condition for the existence of periodic solutions of certain three dimensional autonomous systems. This may become useful in further investigations. Our claims are proved and supported by certain examples for the third order autonomous systems.
Keywords :
Loud’s theorem , Periodic Solutions , Implicit function theorem , autonomous systems , Poincaré–Bendixon Theorem
Journal title :
Applied Mathematics Letters
Journal title :
Applied Mathematics Letters