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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

We consider a highly idealized model for El Nino/Southern Oscillation (ENSO) variability, as introduced in an earlier paper. The model is governed by a delay differential equation for sea surface temperature in the Tropical Pacific, and it…

Atmospheric and Oceanic Physics · Physics 2011-01-13 Ilya Zaliapin , Michael Ghil

El Ni\~no Southern Oscillation (ENSO) is the Earth's strongest source of interannual climate variability. Although its center of action is in the tropical Pacific, it has significant influences on the climate at the planetary scale. ENSO is…

Atmospheric and Oceanic Physics · Physics 2025-12-05 Gian Luca Eusebi Borzelli , Cosimo Enrico Carniel , Sandro Carniel , Mauro Sclavo

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

The Earth's climate system is a classical example of a multiscale, multiphysics dynamical system with an extremely large number of active degrees of freedom, exhibiting variability on scales ranging from micrometers and seconds in cloud…

Atmospheric and Oceanic Physics · Physics 2022-01-19 Gary Froyland , Dimitrios Giannakis , Benjamin Lintner , Maxwell Pike , Joanna Slawinska

This is the last part of four series papers, aiming at stabilization for signal-input-signaloutput (SISO) linear finite-dimensional systems corrupted by general input disturbances. A new observer, referred to as Extended Dynamics Observer…

Systems and Control · Electrical Eng. & Systems 2020-11-13 Hongyinping Feng , Bao-Zhu Guo

The El Ni\~no Southern Oscillation (ENSO) is the dominant driver of interannual global climate variability and can lead to extreme weather events such as droughts or flooding. Recently, we have developed several statistical approaches for…

Atmospheric and Oceanic Physics · Physics 2026-02-17 Josef Ludescher , Jun Meng , Jingfang Fan , Armin Bunde , Hans Joachim Schellnhuber

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

Satellite and ground-based observations are used to explore the composite oceanic - atmospheric link known as the El Ni\~no/La Ni\~na Southern Oscillation (ENSO) phenomenon, which is closely associated with extreme weather events (e.g. heat…

Atmospheric and Oceanic Physics · Physics 2017-08-22 Costas A. Varotsos , Arthur P. Cracknell

Despite advances in climate modeling, simulating the El Ni\~no-Southern Oscillation (ENSO) remains challenging due to its spatiotemporal diversity and complexity. To address this, we build upon existing model hierarchies to develop a new…

Atmospheric and Oceanic Physics · Physics 2025-03-27 Jinyu Wang , Xianghui Fang , Nan Chen , Bo Qin , Mu Mu , Chaopeng Ji

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

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

We study the dynamics of the El Nino phenomenon using the mathematical model of delayed-action oscillator (DAO). Topics such as the influence of the annual cycle, global warming, stochastic influences due to weather conditions and even…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Ian Boutle , Richard H. S. Taylor , Rudolf A. Roemer

We show that the monthly recorded history (1878-2013) of the Southern Oscillation Index (SOI), a descriptor of the El Ni\~no Southern Oscillation (ENSO) phenomenon, can be well described as a dynamic system that supports an average…

Geophysics · Physics 2018-05-21 H. F. Astudillo , R. Abarca-del-Rio , F. A. Borotto

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 extended state observer (ESO) plays an important role in the design of feedback control for nonlinear systems. However, its high-gain nature creates a challenge in engineering practice in cases where the output measurement is corrupted…

Systems and Control · Electrical Eng. & Systems 2020-09-30 Krzysztof Łakomy , Rafal Madonski

The El Nino-Southern Oscillation (ENSO) is one of the most important phenomena in climate. By studying the fluctuations of surface air temperature within one year between 1979-01-01 and 2016-12-31 of the region (30S-30N, 0E-360E) with…

Atmospheric and Oceanic Physics · Physics 2020-03-31 Yongwen Zhang , Jingfang Fan , Xiaoteng Li , Wenqi Liu , Xiaosong Chen

The impact of the El Ni\~no-Southern Oscillation (ENSO) on the extratropics is investigated in an idealized, reduced-order model that has a tropical and an extratropical module. Unidirectional ENSO forcing is used to mimick the atmospheric…

Atmospheric and Oceanic Physics · Physics 2021-07-07 Stéphane Vannitsem , Jonathan Demaeyer , Michael Ghil

El Ni\~no-Southern Oscillation (ENSO) is a prominent mode of interannual climate variability with far-reaching global impacts. Its evolution is governed by intricate air-sea interactions, posing significant challenges for long-term…