Nonlinear systems can be poorly or non-observable along specific state and output trajectories or in certain regions of the state space. Operating the system along such trajectories or in such regions can lead to poor state estimates being provided by an observer. Such trajectories should be avoided if used for state-feedback control or monitoring purposes. In this paper, we outline two possibl...

We investigate the influence of a weakly nonlinear Josephson bath consisting chain junctions on dynamics small quantum system (LC oscillator). Focusing regime where charging energy is largest scale, we perturbatively calculate correlation function to leading order in divided by while keeping cosine potential exactly. When variation along ensures fast decay function, LC oscillator that and capac...