Abstract
In this paper we provide a complete classification of the Darboux invariants, of the irreducible Darboux polynomials, of the rational first integrals and of the algebraic integrability for the classical Lorenz system ẋ = s(y - x), ẏ = rx - y - xz, ż = - bz + xy. In the proofs, we use the weight homogeneous polynomials and the method of characteristic curves for solving linear partial differential equations. © 2002 American Institute of Physics.
Original language | English |
---|---|
Pages (from-to) | 1622-1645 |
Journal | Journal of Mathematical Physics |
Volume | 43 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 Mar 2002 |