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Chaos is a fundamental feature of many complex dynamical systems, including weather systems and fluid turbulence. These systems are inherently difficult to predict due to their extreme sensitivity to initial conditions. Many chaotic systems…

系统与控制 · 电气工程与系统科学 2025-12-02 Andrea Goertzen , Sunbochen Tang , Navid Azizan

Deep Learning has received increased attention due to its unbeatable success in many fields, such as computer vision, natural language processing, recommendation systems, and most recently in simulating multiphysics problems and predicting…

机器学习 · 计算机科学 2023-12-05 Zakaria Elabid , Tanujit Chakraborty , Abdenour Hadid

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…

大气与海洋物理 · 物理学 2007-05-23 Vladimir N. Stepanov

Westerly wind bursts (WWBs) have long been known to have a major impact on the development of El Ni\~no events. In particular, they amplify these events, with stronger events associated with a higher number of WWBs. We further find…

大气与海洋物理 · 物理学 2025-12-30 Georg A. Gottwald , Eli Tziperman , Alexey Fedorov

The fact that the Earth climate is a highly complex dynamical system is well-known. In the last few decades a lot of effort has been focused on understanding how climate phenomena in one geographical region affects the climate of other…

混沌动力学 · 物理学 2015-06-17 J. Ignacio Deza , Cristina Masoller , Marcelo Barreiro

Neutrinos, and primarily neutrino oscillations, have undoubtedly been one of the most exciting topics in the field of high-energy physics over the past few years. The existence of neutrino oscillations would require an extension of the…

高能物理 - 实验 · 物理学 2009-12-08 A. De Santo

In this paper, a brief review of delay population models and their applications in ecology is provided. The inclusion of diffusion and nonlocality terms in delay models has given more capabilities to these models enabling them to capture…

种群与进化 · 定量生物学 2017-01-18 Majid Bani-Yaghoub

Neural Operators (NOs) are a leading method for surrogate modeling of partial differential equations. Unlike traditional neural networks, which approximate individual functions, NOs learn the mappings between function spaces. While NOs have…

星系天体物理 · 物理学 2025-08-01 Keith Poletti , Stella S. R. Offner , Rachel A. Ward

The time needed to exchange information in the physical world induces a delay term when the respective system is modeled by differential equations. Time delays are hence ubiquitous, being furthermore likely to induce instabilities and with…

混沌动力学 · 物理学 2019-10-31 Hendrik Wernecke , Bulcsú Sándor , Claudius Gros

Spatiotemporal variations in thunderstorm occurrence frequency are considered here using an environmental dataset derived from ERA5 reanalysis data. Interannual variability in the thunderstorm environments is examined for the period…

大气与海洋物理 · 物理学 2025-12-17 Andrew Dowdy , Andrew Brown , Todd Lane , Mateusz Taszarek

El Ni\~{n}o-Southern Oscillation (ENSO) is one of the significant climate phenomena, which appears periodically in the tropic Pacific. The intermediate coupled ocean-atmosphere Zebiak-Cane (ZC) model is the first and classical one designed…

大气与海洋物理 · 物理学 2023-08-29 Bin Shi , Junjie Ma

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…

大气与海洋物理 · 物理学 2021-07-07 Stéphane Vannitsem , Jonathan Demaeyer , Michael Ghil

Machine learning models deployed in open-world scenarios often encounter unfamiliar conditions and perform poorly in unanticipated situations. As AI systems advance and find application in safety-critical domains, effectively handling…

机器学习 · 计算机科学 2025-04-22 Tian Xie , Jifan Zhang , Haoyue Bai , Robert Nowak

Delayed processes are ubiquitous in biological systems and are often characterized by delay differential equations (DDEs) and their extension to include stochastic effects. DDEs do not explicitly incorporate intermediate states associated…

定量方法 · 定量生物学 2016-09-28 Jingchen Feng , Stuart Sevier , Bin Huang , Dongya Jia , Herbert Levine

This paper explores the potential of a hybrid modeling approach that combines machine learning (ML) with conventional physics-based modeling for weather prediction beyond the medium range. It extends the work of Arcomano et al. (2022),…

大气与海洋物理 · 物理学 2024-11-28 Dhruvit Patel , Troy Arcomano , Brian Hunt , Istvan Szunyogh , Edward Ott

Generative Deep Learning is a powerful tool for modeling of the Madden-Julian oscillation (MJO) in the tropics, yet its relationship to traditional theoretical frameworks remains poorly understood. Here we propose a video diffusion model,…

计算机视觉与模式识别 · 计算机科学 2026-03-24 Sulian Thual , Feiyang Cai , Jingjing Wang , Feng Luo

Dynamical systems with long delay feedback can exhibit complicated temporal phenomena, which once re-organized in a two-dimensional space are reminiscent of spatio-temporal behavior. In this framework, normal forms description have been…

斑图形成与孤子 · 物理学 2020-12-30 Francesco Marino , Giovanni Giacomelli

Machine Learning has become a pervasive tool in climate science applications. However, current models fail to address nonstationarity induced by anthropogenic alterations in greenhouse emissions and do not routinely quantify the uncertainty…

机器学习 · 计算机科学 2024-02-22 Simon Dräger , Maike Sonnewald

We consider the numerical approximation of stochastic partial differential equations (SPDEs) based models for a quasi-periodic climate pattern in the tropical Pacific Ocean known as El Ni\~no phenomenon. We show that for these models the…

数值分析 · 数学 2017-09-15 Hermann Mena , Lena Pfurtscheller

The data generated by long-delayed dynamical systems can be organized in patterns by means of the so-called spatio-temporal representation, uncovering the role of multiple time-scales as independent degrees of freedom. However, their…

混沌动力学 · 物理学 2018-12-19 Francesco Marino , Giovanni Giacomelli