A class of polynomial differential systems with explicit limit cycles
We consider a class of autonomous polynomial differential systems on the plane of degree six. We prove this system are Liouville integrable and we determine sufficient conditions for the existence of a hyperbolic non-algebraic limit cycle. Also, this limit cycle is explicitly given in polar coordinates.
Disclaimer/Regarding indexing issue:
We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information.