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The Scientific World Journal
Volume 2014, Article ID 841891, 10 pages
Research Article

The Dynamic Mutation Characteristics of Thermonuclear Reaction in Tokamak

1College of Applied Sciences, Beijing University of Technology, Beijing 100124, China
2College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China
3Beijing Electrical Research Institute, Beijing 100124, China

Received 18 February 2014; Accepted 11 March 2014; Published 29 April 2014

Academic Editors: M. Han, Z. Jin, and Y. Xia

Copyright © 2014 Jing Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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 -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.