title: The dynamic mutation characteristics of thermonuclear reaction in Tokamak.
abstract: 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.
authors.affiliation: College of Applied Sciences, Beijing University of Technology, Beijing 100124, China.
authors.forename: Jing
authors.initials: J
authors.lastname: Li
authors.affiliation: College of Applied Sciences, Beijing University of Technology, Beijing 100124, China.
authors.forename: Tingting
authors.initials: T
authors.lastname: Quan
authors.affiliation: College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China.
authors.forename: Wei
authors.initials: W
authors.lastname: Zhang
authors.affiliation: Beijing Electrical Research Institute, Beijing 100124, China.
authors.forename: Wei
authors.initials: W
authors.lastname: Deng
mesh_terms: D002681:China; D008962:Models, Theoretical