Generic one parameter families of reversible vector fields

In the present paper we study the dynamics of a class of reversible vector fields having eigenvalues (0 ; \alpha i; \alphai ) around their symmetric equilibria. We give a complete list of all normal forms for such vector fields, their versal unfoldings, and the corresponding bifurcation diagrams of codimensional one case. We also obtain some important conclusions on the existence of homoclinic and heteroclinic orbits, invariant tori and symmetric periodic orbits.