Figure 2

Shock dynamics. This figure provides a schematic for the construction of more complicated shock dynamics from a simple initial shape (\(\mathcal{K}^{(S)}\)). By acting on a kernel with elements \(r_{i}\) of the reflection group \(R_{4}\) and function concatenation, we create shock-like dynamics, as exemplified by the symmetric shocklet kernel \(\mathcal{K}^{(C)} = \mathcal{K}^{(S)} \oplus [r_{1} \cdot \mathcal{K}^{(S)}]\) in this figure. In Sect. 2.3 we illuminate a typology of shock dynamics derived from combinations of these basic shapes