Bifurcation of multiple limit cycles for the systems of thermonuclear reaction in Tokamaks

Abstract

This paper mainly studies the physical model of thermonuclear reaction in Tokamaks, analysis the L-mode to H-mode transition near the plasma edge in Tokamaks by using the theory of nonlinear dynamics. Obtaining the averaged equations by using the method of multiple scales, we not only make some dynamics analysis for unperturbed and perturbed system, but also give out parameter bifurcation diagrams and diagram composition about bifurcation of multiple limit cycles for Tokamaks system.