Article contents
Projective dynamics of homogeneous systems: local invariants, syzygies and the Global Residue Theorem
Published online by Cambridge University Press: 16 March 2012
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.
Keywords
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 55 , Issue 3 , October 2012 , pp. 577 - 589
- Copyright
- Copyright © Edinburgh Mathematical Society 2012
References
- 5
- Cited by