Abstract
There is a method for searching first integrals for polynomial ordinary differential equations (usually called Darboux method) based on the knowledge of several of their invariant algebraic hypersurfaces. We extend this method to discrete dynamical systems, providing a way of searching invariants for them and we give several examples of application.
| Original language | English |
|---|---|
| Pages (from-to) | 1171-1191 |
| Journal | Journal of Difference Equations and Applications |
| Volume | 8 |
| Issue number | 12 |
| DOIs | |
| Publication status | Published - 1 Dec 2002 |
Keywords
- Darboux integrability
- Differential equations
- Discrete dynamical system
- Invariants