This paper introduces the stability problems of Cohen–Grossberg type BAM neural network (BAMCGNN) with piecewise constant argument (PCA). By employing homeomorphism theory, sufficient conditions for existence and uniqueness equilibrium point are obtained; using inequality technique Lyapunov method, criteria BAMCGNN PCA presented. Finally, a numerical case shows significance results this paper.

In this paper, we consider the motion of an asymmetric heavy gyrostat, when its center mass lies along one principal axes inertia. We determine possible permanent rotations and, by means Energy-Casimir method, give sufficient stability conditions. prove that there exist stable gyrostat is oriented in any direction space, action two spinning rotors, them aligned axis, where lies. also derive nec...