Abstract
We give an explicit formula for the projective dynamics of planar homogeneous polynomial differential systems in terms of natural local invariants and we establish explicit algebraic connections (syzygies) between these invariants (leading to restrictions on possible global dynamics). We discuss multidimensional generalizations together with applications to the existence of first integrals and bounded solutions.
| Original language | English |
|---|---|
| Pages (from-to) | 577-589 |
| Number of pages | 13 |
| Journal | Proceedings of the Edinburgh Mathematical Society |
| Volume | 55 |
| Issue number | 3 |
| DOIs | |
| State | Published - Oct 2012 |
Keywords
- Euler-Jacobi Theorem
- Global Residue Theorem
- homogeneous polynomial systems
- local invariants
- projective dynamics
- syzygies
Fingerprint
Dive into the research topics of 'Projective dynamics of homogeneous systems: Local invariants, syzygies and the Global Residue Theorem'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver