Periodic solutions of el niño model through the vallis differential system

Rodrigo Donizete Euzébio; Jaume Llibre

doi:10.3934/dcds.2014.34.3455

Periodic solutions of el niño model through the vallis differential system

Rodrigo Donizete Euzébio, Jaume Llibre

Departament de Matemàtiques

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13 Cites (Scopus)

Resum

By rescaling the variables, the parameters and the periodic function of the Vallis diérential 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.

Idioma original	Anglès
Pàgines (de-a)	3455-3469
Revista	Discrete and Continuous Dynamical Systems
Volum	34
Número	9
DOIs	https://doi.org/10.3934/dcds.2014.34.3455
Estat de la publicació	Publicada - 1 de gen. 2014

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10.3934/dcds.2014.34.3455

https://ddd.uab.cat/record/150730

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@article{268cf3671e8a4a62991ade9636238259,

title = "Periodic solutions of el ni{\~n}o model through the vallis differential system",

abstract = "By rescaling the variables, the parameters and the periodic function of the Vallis di{\'e}rential 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.",

keywords = "El Ni{\~n}o model, Periodic solutions, Vallis system",

author = "{Donizete Euz{\'e}bio}, Rodrigo and Jaume Llibre",

year = "2014",

month = jan,

day = "1",

doi = "10.3934/dcds.2014.34.3455",

language = "English",

volume = "34",

pages = "3455--3469",

number = "9",

}

TY - JOUR

T1 - Periodic solutions of el niño model through the vallis differential system

AU - Donizete Euzébio, Rodrigo

AU - Llibre, Jaume

PY - 2014/1/1

Y1 - 2014/1/1

N2 - By rescaling the variables, the parameters and the periodic function of the Vallis diérential 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.

AB - By rescaling the variables, the parameters and the periodic function of the Vallis diérential 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.

KW - El Niño model

KW - Periodic solutions

KW - Vallis system

U2 - 10.3934/dcds.2014.34.3455

DO - 10.3934/dcds.2014.34.3455

M3 - Article

SN - 1078-0947

VL - 34

SP - 3455

EP - 3469

JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

IS - 9

ER -

Periodic solutions of el niño model through the vallis differential system

Resum

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