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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

Understanding the interactions between the El Nino-Southern Oscillation (ENSO) and the Madden-Julian Oscillation (MJO) is essential to studying climate variabilities and predicting extreme weather events. Here, we develop a stochastic…

Atmospheric and Oceanic Physics · Physics 2024-11-11 Charlotte Moser , Nan Chen , Yinling Zhang

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

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 Madden-Julian Oscillation (MJO) and the El Ni\~no-Southern Oscillation (ENSO) are two dominant modes of tropical climate variability, each with profound global weather impacts. While their individual dynamics have been widely studied,…

Atmospheric and Oceanic Physics · Physics 2025-07-22 Yinling Zhang , Nan Chen , Charlotte Moser

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

A non-autonomous stochastic dynamical model approach is developed to describe the seasonal to interannual variability of the El Ni\~no-Southern Oscillation (ENSO). We determine the model coefficients by systematic statistical estimations…

Atmospheric and Oceanic Physics · Physics 2020-12-21 L. T. Giorgini , W. Moon , N. Chen , J. S. Wettlaufer

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

The El Ni\~no-Southern Oscillation (ENSO) is a mode of interannual variability in the coupled equatorial ocean/atmosphere Pacific. El Ni\~no describes a state in which sea surface temperatures in the eastern Pacific increase and upwelling…

Atmospheric and Oceanic Physics · Physics 2016-07-12 John Guckenheimer , Andrew Roberts , Axel Timmermann , Henk Dijkstra

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 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

The Southern Oscillation (ENSO) is modelled with the help of a simple model representing a classical damped oscillator forced by external forcing. Eastern Pacific sea surface temperature (SST) and the mean equatorial Pacific thermocline…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Vladimir N. Stepanov

The El Ni\~no Southern Oscillation (ENSO) is the most important driver of interannual global climate variability and can trigger extreme weather events and disasters in various parts of the globe. Depending on the region of maximal warming,…

Atmospheric and Oceanic Physics · Physics 2022-12-29 J. Ludescher , A. Bunde , H. J. Schellnhuber

The relation between El Ni\~{n}o-Southern Oscillation (ENSO) and Pacific Decadal Oscillation (PDO) perplexes the researchers. Probably, this is due to the default choice on empirical orthogonal function (EOF) method whose outputs are merely…

Atmospheric and Oceanic Physics · Physics 2019-12-05 Jin-Liang Wang

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

The El Ni\~{n}o-Southern Oscillation (ENSO) is a dominant mode of interannual climate variability, yet the mechanisms limiting its long-lead predictability remain unclear. Here we develop a physics-guided Deep Echo State Network (DESN) that…

Studying the response of a climate system to perturbations has practical significance. Standard methods in computing the trajectory-wise deviation caused by perturbations may suffer from the chaotic nature that makes the model error…

Atmospheric and Oceanic Physics · Physics 2025-10-07 Marios Andreou , Nan Chen

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

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

Models incorporating delay have been frequently used to understand climate variability phenomena, but often the delay is introduced through an ad-hoc physical reasoning, such as the propagation time of waves. In this paper, the Mori-Zwanzig…

Dynamical Systems · Mathematics 2019-09-11 Swinda K. J. Falkena , Courtney Quinn , Jan Sieber , Jason Frank , Henk A. Dijkstra