In　this　paper,　we　proposed　a　new　nonlinear　chaotic　oscillator.　The　model　of　the　system　is　given　through　a　predefined　form.　Its　unique　property　lies　in　the　circle-shaped　equilibrium.　Both　analysis　and　simulations　are　presented.　In　particular,　the　stability　of　the　neighbourhood　of　the　equilibrium　point　is　analysed　in　terms　of　theoretical　derivation　and　dynamic　behaviour.　Moreover　than　that,　a　robust　control　method　of　a　category　of　three-dimensional　chaotic　systems　is　designed.　And　the　final　simulation　results　proved　the　effectiveness　of　the　controllers.　©　Published　under　licence　by　IOP　Publishing　Ltd.