Published January 12, 2010
| Version v1
Journal article
3D polynomial dynamical systems with elementary first integrals
Creators
- 1. Universidade do Estado do Rio de Janeiro, Instituto de Fisica, Depto. de Fisica Teorica, 20559-900 Rio de Janeiro-RJ (Brazil)
Description
Here we present a semi-algorithm to find elementary first integrals of 3D polynomial dynamical systems. It is a Darboux type procedure that extends the method built by Prelle and Singer for 2D systems. Although it cannot deal with the general case, the method presents a direct/simple way to find elementary first integrals.
Availability note (English)
Available from http://dx.doi.org/10.1088/1751-8113/43/6/065204Additional details
Identifiers
- DOI
- 10.1088/1751-8113/43/6/065204;
- PII
- S1751-8113(10)07569-4;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and Theoretical (Online)
- Journal Volume
- 43
- Journal Issue
- 6
- Journal Page Range
- [17 p.]
- ISSN
- 1751-8121
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 41104263
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- ALGORITHMS; INTEGRALS; POLYNOMIALS
- Descriptors DEC
- FUNCTIONS; MATHEMATICAL LOGIC