We consider the non-equilibrium behavior of a central spin system where is periodically reset to its ground state. The quantum mechanical evolution under this effectively dissipative dynamics described by discrete-time map. Despite simplicity problem shows surprisingly complex dynamical features. In particular, we identify several metastable time-crystal resonances. Here does not relax rapidly ...

In this paper we describe G/G/R+s multi- repairmen machining system with balking. The system consists of M operating machines, S spare machines, R permanent and s additional repairmen. Assuming the discrete flow of machines by continuous one, the diffusion approximation technique for the machine repair system has developed. The system will be in normal working mode if there is M operating machi...

in this paper, an adaptive fuzzy control scheme is proposed for a class of perturbed strict-feedback nonlinear systems with unknown discrete and distributed time-varying delays, and the proposed design method does not require a priori knowledge of the signs of the control gains.based on the backstepping technique, the adaptive fuzzy controller is constructed. the main contributions of the paper...