Bifurcation Phenomenon in An Oscillator Model for EI Nin o and Southern Oscillation

In this paper, a recharge-discharge oscillator model for the EI Ni˜no and southern oscillation with different delays is investigated. The conditions which ensure the local stability and the existence of Hopf bifurcation at the zero equilibrium of the model are obtained. It shows that the two different time delays have different effect on the dynamical behavior of the model. An example together with its numerical simulations shows the feasibility of the main results. Finally, main conclusions are included.