Background: The literature has presented three different classes of the quadrature oscillators, namely the class I oscillators, the class II oscillators, and the class III oscillators.
Methods: The work of this paper is supplemented to the literature. Three new different topological classes of the quadrature oscillators, called the class IV, V, and VI oscillators, are added by Nodal Admittance Matrix (NAM) expansion method. The fourth has 32 different forms, the fifth has 12 different forms, and the sixth has eight different forms. In all, 52 double-mode quadrature oscillators using Current Controlled Current Conveyor Transconductance Amplifiers (CCCCTAs) are obtained. The derived oscillators use canonic number of components, then they are easy to be integrated and there is an independent electronic control between the condition for oscillation and the frequency of oscillation.
Results: The hand and computer analysis results have been included to support the generation method.