The stochastic resonance (SR) in a second-order linear system driven by a trichotomous noise and an external periodic signal is investigated. By the use of the properties of the trichotomous noise and the Shapiro–Loginov formula, the exact expression for the output spectral amplification (SPA)...

We investigate the entropic stochastic resonance (ESR) in a confined system, subject to dichotomous noise and white noise, driven by a periodic square-wave signal, by a constant force along the x-axis of the structure as well as by a constant force in the transversal direction. Under the...

Humans often behave discriminatorily towards others depending on their group membership. In this work, we establish a spatial Prisoner’s dilemma model to investigate the relation between tag-mediated discrimination and cooperation. By introducing tag-mediated selective interaction, we find...

We investigate the topological properties of N(N⩾1) disclination lines in cholesteric liquid crystals. The topological structure of N disclination lines is obtained with the Hopf index and Brouwer degree. Furthermore, the knotted χ disclination loops is proposed with the Hopf invariant. And...