Based　on　the　original　stretch-twist-fold　flow,　we　propose　a　unified　stretch-twist-fold　(USTF)　flow.　We　explore　the　conditions　that　zero-Hopf　bifurcation　occurs　at　the　origin.　Using　the　first-order　averaging　theorem,　a　periodic　solution　produced　from　the　zero-Hopf　equilibrium　is　derived.　In　addition,　we　obtain　the　conclusion　that　for　parameter　alpha　large　enough,　the　periodic　orbit　of　USTF　flow　exists　as　well　unstable.　Finally,　circuit　design　has　been　built　for　implementing　the　new　system,　showing　a　good　agreement　between　computer　simulations　and　experimental　observations.