Abstract
The paper discusses the dynamics of cylindrical thin shell wormholes within the context of f(R) gravity by joining two identical copies of metric space-time using the cut-and-paste approach. The stability of cylindrical wormholes is analyzed through the linear radial perturbation about the static solution and the variable modified generalized Chaplygin gas equation of state. This formalism is applied to two specific different configurations of f(R) gravity, such as a quadratic type model and a combined quadratic-cubic type model. We reveal the presence of both stable and unstable regions, depending on the appropriate values of different parameters involved in the variable equation of state and f(R) gravity models as well as the metric space-time. Further, the existence of charge and cosmological constant parameters in the metric as well as dark source parameters seems to enlarge the stability regions.