The　aim　of　this　paper　is　to　study　a　chaotic　oscillator＇s　stability　and　chaos　behavior　and　to　determine　the　conditions　for　the　stability　and　chaotic　behavior　of　the　chaotic　oscillator　by　theoretical　analysis.　Furthermore,　this　study　also　aims　to　control　the　chaotic　oscillator　by　an　exact　feedback　linearization　method.　Finally,　both　numerical　simulations　and　circuit　experiments　verify　the　validity　of　the　theoretical　analysis.