论文信息 - Darboux Polynomials and Algebraic Integrability of the Chen System

Darboux Polynomials and Algebraic Integrability of the Chen System

In this paper, we characterize all the Darboux polynomials of the Chen system, , and prove that the system is not algebraic integrability. For proving the results, we use the weight homogeneous polynomials and the method of characteristics.

Xiang Zhang | Tinghua Lü

[1] J. Moulin-Ollagnier,et al. Polynomial first integrals of the Lotka-Volterra system , 1997 .

[2] Jean Moulin Ollagnier,et al. Rational integration of the Lotka–Volterra system , 1999 .

[3] Guanrong Chen,et al. YET ANOTHER CHAOTIC ATTRACTOR , 1999 .

[4] Xiang Zhang,et al. Invariant algebraic surfaces of the Lorenz system , 2002 .

[5] A. R. Forsyth. Theory of Differential Equations , 1961 .

[6] Zhang Xiang,et al. Integrals of motion of the Rabinovich system , 2000 .

[7] J. Jouanolou,et al. Equations de Pfaff algébriques , 1979 .

[8] Formal and analytic integrability of the Lorenz system , 2005 .