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I study a recently proposed statistical model of earthquake dynamics that incorporates aging as a fundamental ingredient. The model is known to generate earthquake sequences that quantitatively reproduce the spatial and temporal clustering…

Statistical Mechanics · Physics 2015-05-19 E. A. Jagla

Current approaches to design flood-sensitive infrastructure typically assume a stationary rainfall distribution and neglect many uncertainties. These assumptions are inconsistent with observations that suggest intensifying extreme…

Applications · Statistics 2022-01-11 Sanjib Sharma , Ben Seiyon Lee , Robert E. Nicholas , Klaus Keller

The purpose of this review-and-research paper is twofold: (i) to review the role played in climate dynamics by fluid-dynamical models; and (ii) to contribute to the understanding and reduction of the uncertainties in future climate-change…

Dynamical Systems · Mathematics 2010-06-16 Michael Ghil , Mickaël D. Chekroun , Eric Simonnet

In high-renewable power systems, active-power disturbances are becoming larger and exhibit increasingly diverse time scales, which complicates frequency stability assessment under unanticipated events. This paper presents a response-based…

Systems and Control · Electrical Eng. & Systems 2025-11-27 Jinhui Chen , Huadong Sun , Ping Wu , Baocai Wang , Bing Zhao

We study cascading failures in networks using a dynamical flow model based on simple conservation and distribution laws to investigate the impact of transient dynamics caused by the rebalancing of loads after an initial network failure…

Physics and Society · Physics 2010-05-04 Ingve Simonsen , Lubos Buzna , Karsten Peters , Stefan Bornholdt , Dirk Helbing

Frequency-dependent selection reflects the interaction between different species as they battle for limited resources in their environment. In a stochastic evolutionary game the species relative fitnesses guides the evolutionary dynamics…

Probability · Mathematics 2020-12-29 Lea Popovic , Liam Peuckert

Sustainability aspects of transportation infrastructure systems primarily focus on system performance based on environmental, social, and economic impacts. In contrast, resilience aspects demonstrate the ability to withstand external shocks…

Systems and Control · Electrical Eng. & Systems 2022-08-23 H M Imran Kays , Arif Mohaimin Sadri

Having become vital to satisfying basic human needs, water distribution systems (WDSs) are considered critical infrastructure. They are vulnerable to critical events such as extreme weather, natural and man-made disasters, armed conflicts…

Cryptography and Security · Computer Science 2023-06-26 Michaela Leštáková , Kevin Tiernan Logan , Imke-Sophie Rehm , Peter F. Pelz , John Friesen

Approaches to understanding resilience from psychology and sociology emphasise individuals' agency but obscure systemic factors. Approaches to understanding resilience stemming from ecology emphasise system dynamics such as feedbacks but…

Populations and Evolution · Quantitative Biology 2019-11-07 Steven J. Lade , Brian H. Walker , L. Jamila Haider

We consider a general construction of ``kicked systems''. Let G be a group of measure preserving transformations of a probability space. Given its one-parameter/cyclic subgroup (the flow), and any sequence of elements (the kicks) we define…

Dynamical Systems · Mathematics 2009-10-31 Leonid Polterovich , Zeev Rudnick

It is of growing concern to ensure resilience in power distribution systems to extreme weather events. However, there are no clear methodologies or metrics available for resilience assessment that allows system planners to assess the impact…

Systems and Control · Electrical Eng. & Systems 2022-11-16 Abodh Poudyal , Anamika Dubey , Shiva Poudel

Noise plays a fundamental role in a wide variety of physical and biological dynamical systems. It can arise from an external forcing or due to random dynamics internal to the system. It is well established that even weak noise can result in…

Analysis of PDEs · Mathematics 2019-08-06 Eric Forgoston , Richard O. Moore

Ecological communities are composed of species interactions that respond to environmental fluctuations. Despite increasing evidence of temporal variation in these interactions, most theoretical frameworks remain rooted in static…

We explore the connection between migration patterns and emergent behaviors of evolving populations in spatially heterogeneous environments. Despite extensive studies in ecologically and medically important systems, a unifying framework…

Populations and Evolution · Quantitative Biology 2024-01-10 Casey O. Barkan , Shenshen Wang

We study the biodiversity problem for resource competition systems with extinctions and self-limitation effects. Our main result establishes estimates of biodiversity in terms of the fundamental parameters of the model. We also prove the…

Dynamical Systems · Mathematics 2018-09-12 Vladimir Kozlov , Sergey Vakulenko , Uno Wennergren , Vladimir G. Tkachev

Noise, through its interaction with the nonlinearity of the living systems, can give rise to counter-intuitive phenomena such as stochastic resonance, noise-delayed extinction, temporal oscillations, and spatial patterns. In this paper we…

Populations and Evolution · Quantitative Biology 2007-05-23 B. Spagnolo , D. Valenti , A. Fiasconaro

We study a model ecosystem by means of dynamical techniques from disordered systems theory. The model describes a set of species subject to competitive interactions through a background of resources, which they feed upon. Additionally…

Populations and Evolution · Quantitative Biology 2009-11-13 Yoshimi Yoshino , Tobias Galla , Kei Tokita

Preserving biodiversity and ecosystem stability is a challenge that can be pursued through modern statistical mechanics modeling. Here we introduce a variational maximum entropy-based algorithm to evaluate the entropy in a minimal ecosystem…

Biological Physics · Physics 2018-10-17 Mattia Miotto , Lorenzo Monacelli

Many systems may switch to an undesired state due to internal failures or external perturbations, of which critical transitions toward degraded ecosystem states are a prominent example. Resilience restoration focuses on the ability of…

Populations and Evolution · Quantitative Biology 2021-12-23 Cheng Ma , Gyorgy Korniss , Boleslaw K. Szymanski , Jianxi Gao

Quasiperiodicity, a partially synchronous state that precedes the onset of forced synchronization in hydrodynamic systems, exhibits distinct geometrical patterns based on the specific route to lock-in. In this study, we explore these…

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