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El Ni\~no-Southern Oscillation (ENSO) is the most prominent interannual climate variability in the tropics and exhibits diverse features in spatiotemporal patterns. In this paper, a simple multiscale intermediate coupled stochastic model is…

Atmospheric and Oceanic Physics · Physics 2022-06-15 Nan Chen , Xianghui Fang

A spatiotemporal oscillator model for El Ni\~no/Southern Oscillation (ENSO) is constructed based on the sea surface temperature (SST) and thermocline depth dynamics. The model is enclosed by introducing a proportional relationship between…

Atmospheric and Oceanic Physics · Physics 2023-06-08 Yaokun Li

This paper studies the chaotic behavior of hydrosphere and its influence on global weather and climate. We give mathematical arguments for the sea surface temperature (SST) to be unpredictable over the global ocean. The impact of SST…

Atmospheric and Oceanic Physics · Physics 2018-01-04 Marat Akhmet , Mehmet Onur Fen , Ejaily Milad Alejaily

Very strong El Ni\~no events occur sporadically every 10-20 years. The origin of this bursting behavior still remains elusive. Using a simplified 3-dimensional dynamical model of the tropical Pacific climate system, which captures the El…

Dynamical Systems · Mathematics 2016-05-04 Andrew Roberts , Esther Widiasih , Axel Timmermann , Christopher K. R. T. Jones , John Guckenheimer

Understanding current global climate requires an understanding of trends both in Earth's atmospheric temperature and the El Nino-Southern Oscillation (ENSO), a characteristic large-scale distribution of warm water in the tropical Pacific…

Atmospheric and Oceanic Physics · Physics 2014-02-27 L. M. W. Leggett , D. A. Ball

The El Ni\~no Southern Oscillation (ENSO) is the most important driver of climate variability and can trigger extreme weather events and disasters in various parts of the globe. Recently we have developed a network approach, which allows…

Atmospheric and Oceanic Physics · Physics 2020-02-19 Josef Ludescher , Armin Bunde , Shlomo Havlin , Hans Joachim Schellnhuber

Accurate long-range forecasting of the El \Nino-Southern Oscillation (ENSO) is vital for global climate prediction and disaster risk management. Yet, limited understanding of ENSO's physical mechanisms constrains both numerical and deep…

We consider a delay differential equation (DDE) model for El-Nino Southern Oscillation (ENSO) variability. The model combines two key mechanisms that participate in ENSO dynamics: delayed negative feedback and seasonal forcing. We perform…

Atmospheric and Oceanic Physics · Physics 2020-01-29 Michael Ghil , Ilya Zaliapin , Sylvester Thompson

In this article, we present a mathematical theory of the Walker circulation of the large-scale atmosphere over the tropics. This study leads to a new metastable state oscillation theory for the El Nino Southern Oscillation (ENSO), a typical…

Mathematical Physics · Physics 2010-05-14 Tian Ma , Shouhong Wang

El Ni\~no Southern Oscillation (ENSO) diversity is characterized based on the longitudinal location of maximum sea surface temperature anomalies (SSTA) and amplitude in the tropical Pacific, as Central Pacific (CP) events are typically…

Atmospheric and Oceanic Physics · Physics 2024-05-15 Jakob Schlör , Felix Strnad , Antonietta Capotondi , Bedartha Goswami

The El Ni{~n}o-Southern Oscillation (ENSO) exerts profound influence on global climate variability, yet its prediction remains a grand challenge. Recent advances in deep learning have significantly improved forecasting skill, but the…

Machine Learning · Computer Science 2026-01-06 Yanhai Gan , Yipeng Chen , Ning Li , Xingguo Liu , Junyu Dong , Xianyao Chen

The dynamics of the El Ni\~no-Southern Oscillation (ENSO) are succinctly captured by the Recharge Oscillator (RO) framework. However, to simulate ENSO realistically, careful choices must be made regarding the RO's key parameters. In…

Atmospheric and Oceanic Physics · Physics 2025-09-16 Sooman Han , Alexey Fedorov , Jérôme Vialard

We analyse the transitions between established phases of the El Ni\~no Southern Oscillation (ENSO) by surveying the daily data of the Southern Oscillation Index from an entropic viewpoint using the framework of stochastic Statistical…

Statistical Mechanics · Physics 2025-07-15 Sílvio M. Duarte Queirós

Anomalies during an El Nino are dominated by a single, irregularly oscillating, mode. Equatorial dynamics has been linked to delayed-oscillator models of this mode. Usually, the El Nino mode is regarded as an unstable mode of the coupled…

Atmospheric and Oceanic Physics · Physics 2008-02-03 Gerrit Burgers

The El Nino Southern Oscillation (ENSO) is one of the most prominent interannual climate phenomena. An early and reliable ENSO forecasting remains a crucial goal, due to its serious implications for economy, society, and ecosystem. Despite…

Atmospheric and Oceanic Physics · Physics 2020-01-15 Jun Meng , Jingfang Fan , Josef Ludescher , Agarwal Ankit , Xiaosong Chen , Armin Bunde , Jurgen Kurths , Hans Joachim Schellnhuber

The El Ni\~no Southern Oscillation (ENSO) is a semi-periodic fluctuation in sea surface temperature (SST) over the tropical central and eastern Pacific Ocean that influences interannual variability in regional hydrology across the world…

Atmospheric and Oceanic Physics · Physics 2023-01-24 Yumin Liu , Kate Duffy , Jennifer G. Dy , Auroop R. Ganguly

The El Ni\~no Southern Oscillation (ENSO) is the strongest driver of interannual global climate variability and can lead to extreme weather events like droughts and flooding. Additionally, ENSO influences the mean global temperature with…

Atmospheric and Oceanic Physics · Physics 2025-02-04 J. Ludescher , J. Meng , J. Fan , A. Bunde , H. J. Schellnhuber

We apply a test for low-dimensional, deterministic dynamics to the Nino 3 time series for the El Nino Southern Oscillation (ENSO). The test is negative, indicating that the dynamics is high-dimensional/stochastic. However, application of…

Atmospheric and Oceanic Physics · Physics 2015-06-05 Tatjana Zivkovic , Kristoffer Rypdal

The emergence of oscillations in models of the El-Ni\~no effect is of utmost relevance. Here we investigate a coupled nonlinear delay differential system modeling theEl-Ni\~no/ Southern Oscillation (ENSO) phenomenon, which arises through…

Atmospheric and Oceanic Physics · Physics 2017-05-24 Chandrakala Meena , Shweta Kumari , Akansha Sharma , Sudeshna Sinha

El Ni\~no-Southern Oscillation (ENSO) exhibits significant impacts on the frequency of extreme weather events and its socio-economic implications prevail on a global scale. However, a fundamental gap still exists in understanding the…

Systems and Control · Electrical Eng. & Systems 2024-06-21 Long Huo , Xin Chen , Kaiwen Li , Fengying Cai , Jürgen Kurths