The non-Hermitian skin effect can be realized through asymmetric hopping between forward and backward directions, where all the modes of system are localized at one edge a finite 1D lattice. Here we show theoretically that in chain exciton-polariton micropillars with symmetric hopping, inherent nonlinearity exhibit double-sided (bi-skin) based fluctuations system, two edges system. To topologic...

This article is devoted to establishing a general duality for controllability and observability of forward backward stochastic linear evolution equations with filtration. The main tool that we employ the transposition method introduced in [13]. First, prove well-posedness controlled unbounded control operators. Then, obtain equivalence between their dual equations. Finally, an example given ill...

The numerical simulation of aeroacoustic phenomena requires high-order accurate numerical schemes with low dispersion and dissipation errors. In this paper we describe a strategy for developing high-order accurate prefactored compact schemes, requiring very small stencil support. These schemes require fewer boundary stencils and offer simpler boundary condition implementation than existing comp...