Abstract
© 2017 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.
Original language | English |
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Pages (from-to) | 130-131 |
Journal | Chaos, Solitons and Fractals |
Volume | 96 |
DOIs | |
Publication status | Published - 1 Mar 2017 |
Keywords
- Analytic integrability
- Center problem
- Polynomial complex differential systems