In this paper we study the integrability of the Muthuswamy-Chua system $$x′=y, y′= -x/3+fracy/2-yz2/2, z′=y-αz-yz. For α=0 we characterize all its generalized rational first integrals, which contains the Darboux type first integrals. For α ≠ 0 we show that the system has no Darboux type first integrals. © 2012 2012 The Author(s).
- Chua system
- Darboux integrability
- Darboux polynomials
- exponential factor
- generalized rational first integrals