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In this paper, a general class of Clifford-valued neutral high-order neural network (HNN) with D-operator on time scales is investigated. In this model, time-varying delays and continuously distributed delays are taken into account. As an extension of the real-valued neural network, the Clifford-valued neural network, which includes a familiar complex-valued neural network and a quaternion-valued neural network as special cases, has been an active research field recently. By utilizing this novel method, which incorporates the differential inequality techniques and the fixed point theorem and time-scale theory of computation, we derive a few sufficient conditions to ensure the existence, uniqueness, and exponential stability of the pseudo almost periodic () solution of the considered model. The results in this paper are new, even if time scale $\mathbb{T}=\mathbb{R}$ T = R or $\mathbb{T}=\mathbb{Z}$ T = Z , and complementary to the previously existing works. Furthermore, an example and its numerical simulations are included to demonstrate the validity and advantage of the obtained results.

In this paper, Clifford-valued inertial neutral neural networks with time-varying delays and infinite distributed delay are investigated. With the help of the pseudo almost periodic function theory, Banach’s fixed point theorem, and the differential inequality theory, a set of sufficient criteria that guarantee the existence and the global exponential stability of unique pseudo-almost periodic solutions of Clifford-valued inertial neutral neural networks with mixed delays are established. Our results are new and complement some previously known ones. Moreover, numerical simulations are carried out to verify our theoretical results.

The title compound, C12H19N2+·Cl−·H2O, contains a network of 4-(2,3-dimethylphenyl)piperazin-1-ium cations, water molecules and chloride anions. The crystal packing is influenced by O—H...Cl, N—H...Cl, N—H...O, C—H...O and C—H...Cl hydrogen bonds, resulting in structure with an open-framework architecture.

In the crystal structure of the title compound, (C10H15ClN2)[ZnCl4]·H2O, the Zn atom is coordinated by four Cl atoms in a tetrahedral geometry. The water molecules and the 1-(4-chlorophenyl)piperazine-1,4-diium cations interact with the [ZnCl4]2− anions through O—H...Cl, N—H...Cl, N—H...O and C—H...Cl hydrogen bonds (five simple and one bifurcated). Intermolecular π–π stacking interactions are present between adjacent aromatic rings of 1-(4-chlorophenyl)piperazine-1,4-diium cations (the centroid–centroid distance is 3.453 Å).

In the title compound, (C(4)H(12)N(2))[CdCl(4)]·H(2)O, the [CdCl(4)](2-) anions adopt a slightly distorted tetra-hedral configuration. In the crystal, O-H⋯Cl hydrogen bonds link the anions and water mol-ecules into corrugated inorganic chains along the b axis which are inter-connected via piperazinediiumN-H⋯O and N-H⋯Cl inter-actions into a three-dimensional framework structure.