LIU Yudan, DU Zhiyuan, ZHAO Qiang. Bifurcation Analysis of the ENSO Recharge Oscillator With Time-Delayed Feedback[J]. Applied Mathematics and Mechanics, 2018, 39(10): 1128-1136. doi: 10.21656/1000-0887.380332
Citation: LIU Yudan, DU Zhiyuan, ZHAO Qiang. Bifurcation Analysis of the ENSO Recharge Oscillator With Time-Delayed Feedback[J]. Applied Mathematics and Mechanics, 2018, 39(10): 1128-1136. doi: 10.21656/1000-0887.380332

Bifurcation Analysis of the ENSO Recharge Oscillator With Time-Delayed Feedback

doi: 10.21656/1000-0887.380332
Funds:  The National Natural Science Foundation of China(41175052)
  • Received Date: 2017-12-22
  • Rev Recd Date: 2018-02-26
  • Publish Date: 2018-10-01
  • The time-delayed impact on a class of nonlinear ENSO recharge oscillator models was investigated through transformation of the model equations into the Van der Pol-Duffing oscillator with time-delayed feedback. The Hopf bifurcation and stable limit cycles were obtained with the averaging method. Qualitative analysis shows that equilibrium stability of the ENSO system and its oscillation are closely related to the delayed feedback amplitude and time. Finally, numerical simulations were carried out to illustrate the analytical results.
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