In this article we introduce the notion of textit{Fractal $omega$-operad} emerging from  a natural $omega$-operad associated to any coglobular object in the category of higher operads in Batanin's sense, which in fact is a coendomorphism $omega$-operads. We have in mind coglobular object of higher operads which algebras are kind of higher transformations. It follows that this natural $omeg...

Porous organic polymers provide high accessible surface areas, which make them attractive for gas storage, separation, and catalysis. In addition to those classical usage such compounds are particularly interesting electronic applications since their dimensional, electron-rich backbone provides advanced photophysical properties. However, non-soluble nature is a challenge processability, especia...

This work extends the domain of vibrational mechanics to higher dimensions, with fast vibrations applied different directions. In particular, presented analysis considers case a split biharmonic drive, where harmonics frequency $\ensuremath{\omega}$ and $2\ensuremath{\omega}$ are orthogonal directions in two-dimensional setting. It is shown, both numerically analytic calculations, that this det...