This paper discusses octonion-valued neural networks (OVNNs) with leakage delay, time-
varying delays, and distributed delays, for which the states, weights, and activation functions …

Octonion-valued neural networks (OVNNs) are a type of neural networks for which the states
and weights are octonions. The octonion algebra is the only normed division algebra that …

In this paper, the real, complex octonion algebra and their properties are defined. The
electromagnetic and gravito-electromagnetic equations with monopoles in terms of S and S …

The equations of compressible ideal fluids analogous to those of electromagnetism are
reformulated in terms of hyperbolic octonions. Furthermore, the wave equations with source …

Although the origins of electromagnetic theory and the fluid mechanics are completely
different, the compressible ideal fluid equations can be expressed in a form analogous to …

Extending the biquaternionic generalization of the Maxwell type equations of compressible
fluids, an effort has been introduced for the reformulation of analogous multifluid plasma …

The close analogy between electromagnetic theory and linear gravity is discussed by the
hyperbolic (split) octonion formalism. Using the similarities between the relevant field …

Generalized field equations of linear gravity are formulated on the basis of octons. When
compared to the other eight-component noncommutative hypercomplex number systems, it …

The paper aims to extend major equations in the electromagnetic and gravitational theories
from the flat space into the complex octonion curved space. Maxwell applied simultaneously …

Stimulating from the hyperbolic octonionic generalization of the Maxwell-type equations of
compressible fluids, an alternative reformulation has been proposed for the analogous …