Abstract
In the commented paper the authors propose a novel three-dimensional energy-saving and emission-reduction system. They claim to prove the existence of Šilnikov homoclinic orbits by using the undetermined coefficient method and, consequently, the Šilnikov theorem guarantees that the system has Smale horseshoes and the horseshoe chaos. Unfortunately, their demonstration is invalid because the form of the function they assume in the series expansion for the homoclinic orbits is incorrect. Namely, they compose the homoclinic orbit of the same manifold, which is stable in forward time and unstable in reverse time.
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