Strongly formal Weierstrass non-integrability for polynomial differential systems in C2
Recently a criterion has been given for determining the weakly formal Weierstrass non-integrability of polynomial differential systems in C2 . Here we extend this criterion for determining the strongly formal Weierstrass non-integrability which includes the weakly formal Weierstrass non-integrabilit...
| Authors: | , |
|---|---|
| Format: | article |
| Status: | Published version |
| Publication Date: | 2020 |
| Country: | España |
| Institution: | Universitat de Lleida (UdL) |
| Repository: | Repositori Obert UdL |
| OAI Identifier: | oai:repositori.udl.cat:10459.1/68155 |
| Online Access: | https://doi.org/10.14232/ejqtde.2020.1.1 http://hdl.handle.net/10459.1/68155 |
| Access Level: | Open access |
| Keyword: | Liouville integrability Weierstrass integrability Polynomial differential systems |
| Summary: | Recently a criterion has been given for determining the weakly formal Weierstrass non-integrability of polynomial differential systems in C2 . Here we extend this criterion for determining the strongly formal Weierstrass non-integrability which includes the weakly formal Weierstrass non-integrability of polynomial differential systems in C2 . The criterion is based on the solutions of the form y = f(x) with f(x) ∈ C[[x]] of the differential system whose integrability we are studying. The results are applied to a differential system that contains the famous force-free Duffing and the Duffing–Van der Pol oscillators. |
|---|