PERIODIC SOLUTIONS OF EL NINO MODEL THROUGH THE VALLIS DIFFERENTIAL SYSTEM

被引：10
|
作者：
Euzebio, Rodrigo Donizete [1 ]
Llibre, Jaume [2 ]
机构：
[1] UNESP Univ Estadual Paulista, Dept Math, IBILCE, BR-15054000 Sao Jose De Rio Preto, SP, Brazil
[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2014年 / 34卷 / 09期
基金：
巴西圣保罗研究基金会;
关键词：
Vallis system; periodic solutions; El Nino model; LOCALIZATION; SETS;
D O I：
10.3934/dcds.2014.34.3455
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：3455 / 3469
页数：15
相关论文
共 50 条
  • [1] The effect of state dependence in a delay differential equation model for the El Nino Southern Oscillation
    Keane, Andrew
    Krauskopf, Bernd
    Dijkstra, Henk A.
    PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2019, 377 (2153):
  • [2] Periodic Solutions of an Indefinite Singular Planar Differential System
    Zaitao Liang
    Xiuqiang Zhang
    Shengjun Li
    Mediterranean Journal of Mathematics, 2023, 20
  • [3] Periodic Solutions of an Indefinite Singular Planar Differential System
    Liang, Zaitao
    Zhang, Xiuqiang
    Li, Shengjun
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2023, 20 (01)
  • [4] Positive Periodic Solutions of Delay Differential System at Resonance
    Bouteraa, Noureddine
    FILOMAT, 2022, 36 (10) : 3433 - 3447
  • [5] Cubic nonlinear differential system, their periodic solutions and bifurcation analysis
    Akram, Saima
    Nawaz, Allah
    Rehman, Mariam
    AIMS MATHEMATICS, 2021, 6 (10): : 11286 - 11304
  • [6] Periodic solutions of differential equations with periodic constraints
    Spadini, Marco
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2025, 48 (04) : 5007 - 5015
  • [7] On the periodic solutions of the Michelson continuous and discontinuous piecewise linear differential system
    Jaume Llibre
    Regilene Oliveira
    Camila Ap. B. Rodrigues
    Computational and Applied Mathematics, 2018, 37 : 1550 - 1561
  • [8] New Symmetric Periodic Solutions for the Maxwell-Bloch Differential System
    Candido, M. R.
    Llibre, J.
    Valls, C.
    MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2019, 22 (02)
  • [9] Stable phase-locked periodic solutions in a delay differential system
    Wu, JH
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2003, 194 (02) : 237 - 286
  • [10] New Symmetric Periodic Solutions for the Maxwell-Bloch Differential System
    M. R. Cândido
    J. Llibre
    C. Valls
    Mathematical Physics, Analysis and Geometry, 2019, 22
12345