The　stability　and　bifurcations　of　multiple　limit　cycles　for　the　physical　model　of　thermonuclear　reaction　in　Tokamak　are　investigated　in　this　paper.　The　one-dimensional　Ginzburg-Landau　type　perturbed　diffusion　equations　for　the　density　of　the　plasma　and　the　radial　electric　field　near　the　plasma　edge　in　Tokamak　are　established.　First,　the　equations　are　transformed　to　the　average　equations　with　the　method　of　multiple　scales　and　the　average　equations　turn　to　be　a　Z(2)-symmetric　perturbed　polynomial　Hamiltonian　system　of　degree　5.　Then,　with　the　bifurcations　theory　and　method　of　detection　function,　the　qualitative　behavior　of　the　unperturbed　system　and　the　number　of　the　limit　cycles　of　the　perturbed　system　for　certain　groups　of　parameter　are　analyzed.　At　last,　the　stability　of　the　limit　cycles　is　studied　and　the　physical　meaning　of　Tokamak　equations　under　these　parameter　groups　is　given.