Open AccessHopf bifurcation and chaos in the solar-forced El Niño /Southern Oscillation recharge oscillator model
Author(s) -
Zhang Wu-Fan,
Q. Zhao
Publication year - 2014
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.63.210201
Subject(s) - van der pol oscillator , physics , hopf bifurcation , oscillation (cell signaling) , forcing (mathematics) , harmonic balance , harmonic oscillator , pitchfork bifurcation , bifurcation , el niño southern oscillation , meteorology , nonlinear system , climatology , atmospheric sciences , quantum mechanics , geology , biology , genetics
A class of solar-forced recharge oscillator model for the El Niño /Southern Oscillation (ENSO) is considered. By transforming the ENSO model equations into the van der Pol-Duffing oscillator with periodic forcing, we obtain the Hopf bifurcation conditions by the harmonic balance method. Numerical simulations also show that the 11-yr solar-cycle forced ENSO system undergoes a transition from the quasi-periodicity route to chaos as the solar-cycle forcing is increased.