Hopf bifurcation and chaos in the solar-forced El Niño /Southern Oscillation recharge oscillator model | Zendy

Wu-Fan Zhang | Zendy; Qiang Zhao | Zendy

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Hopf bifurcation and chaos in the solar-forced El Niño /Southern Oscillation recharge oscillator model

Author(s) -

Wu-Fan Zhang,

Qiang Zhao

Publication year - 2014

Publication title -

acta physica sinica

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.

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