Integrability conditions of a resonant saddle in generalized Liénard-like complex polynomial differential systems
MetadataShow full item record
We consider a complex differential system with a resonant saddle at the origin. We compute the resonant saddle quantities and using Gröbner bases we find the integrability conditions for such systems up to a certain degree. We also establish a conjecture about the integrability conditions for such systems when they have arbitrary degree.