  In this work, our primary goal is to study the Poincare map and the existence
of limit cycles for Welander's model that describes ocean convection. Welander
developed two versions of his model, one with a smooth transition between
convective states, and one with an abrupt non-smooth change. Our focus in this
paper is to study the non-smooth model. Approaching through the Poincare Map,
we demonstrate analytically the bifurcation of a stable limit cycle surrounding
an escaping segment.
