CHEN Fang-qi, ZHOU Liang-qiang, WANG Xia, CHEN Yu-shu. Chaotic Motions for the Model of the L-Mode to H-Mode in Tokamak[J]. Applied Mathematics and Mechanics, 2009, 30(7): 757-765. doi: 10.3879/j.issn.1000-0887.2009.07.001
Citation: CHEN Fang-qi, ZHOU Liang-qiang, WANG Xia, CHEN Yu-shu. Chaotic Motions for the Model of the L-Mode to H-Mode in Tokamak[J]. Applied Mathematics and Mechanics, 2009, 30(7): 757-765. doi: 10.3879/j.issn.1000-0887.2009.07.001

Chaotic Motions for the Model of the L-Mode to H-Mode in Tokamak

doi: 10.3879/j.issn.1000-0887.2009.07.001
  • Received Date: 2008-10-17
  • Rev Recd Date: 2009-06-11
  • Publish Date: 2009-07-15
  • The chaotic dynamics of the transport equation for the L-mode to H-mode near plasma in Tokamak is studied in detail with Melnilov method.The transport equations represent a system with external and parametric excitation.The critical curves separating the chaotic regions and non-chaotic regions were presented for the system with periodically external excitation and linear parametric excitation,or cubic parametric excitation,respectively.The results obtained here show that there exist uncontrollable regions in which chaos always takes place via heteroclinic bifurcation for the system with linear or cubic parametric excitation.Especially,there exists a "controllable frequency" excited at which chaos doesn.toccur via homoclinic bifurcation no matter how large the excitation amplitude is for the system with cubic parametric excitation.Some complicated dynamical behaviors were obtained for this class of systems.
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