Phase space analysis in a model of f(T) gravity with nonlinear sign changeable interactions

Sign changeable interactions continue to gain serious attention in modern cosmology. On the other hand, recent interest towards nonlinear interactions gave us a motivation to consider various sign changeable nonlinear interactions. In this paper, we will consider cosmological models involving suggested new sign changeable nonlinear interactions. To describe background dynamics of the large scale universe f(T) gravity is used i.e the universe is governed by torsional modified gravity. In our models, we adopted barotropic EoS and pressureless fluid to model dark energy and dark matter, respectively. In addition to other assumptions about the models, particular form of f(T) is considered to perform phase space analysis.