Periodic solutions of El Niño model through the Vallis differential system. (English) Zbl 1302.86010
Summary: By rescaling the variables, the parameters and the periodic function of the Vallis differential system we provide sufficient conditions for the existence of periodic solutions and we also characterize their kind of stability. The results are obtained using averaging theory.
MSC:
86A10 | Meteorology and atmospheric physics |
37N10 | Dynamical systems in fluid mechanics, oceanography and meteorology |
34C25 | Periodic solutions to ordinary differential equations |
34C07 | Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert’s 16th problem and ramifications) for ordinary differential equations |
References:
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