In this paper, A non-linear capacitance chaotic circuit is transformed into a novel third-order autonomous chaotic circuit using the duality theorem.With non-linear magnetic-control inductance as the core structure, the new circuit is simple and compact in its structure.There exist the phenomena of double scroll strange attractors and abundant chaotic dynamics behavior through numerical simulation.Furthermore, a new circuit design approach for the novel third-order autonomous chaotic circuit based on non-dimension state equation is proposed in this paper.Thus the novel circuit design has provided a new chaotic generator for the chaotic communication.