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Related papers: Quantifying Tipping Risks in Power Grids and beyon…

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Spreading phenomena on networks are essential for the collective dynamics of various natural and technological systems, from information spreading in gene regulatory networks to neural circuits or from epidemics to supply networks…

Physics and Society · Physics 2021-06-01 Justine Wolter , Benedict Lünsmann , Xiaozhu Zhang , Malte Schröder , Marc Timme

Using experiments on a colloidal particle trapped in an optical tweezer, we confirm a recent proposal to increase the effective mobility or clock rate of systems described by Langevin dynamics, by simultaneously scaling deterministic forces…

Statistical Mechanics · Physics 2026-03-05 Prithviraj Basak , Stephen Whitelam , John Bechhoefer

We present a new form of intermittency, L\'evy on-off intermittency, which arises from multiplicative $\alpha$-stable white noise close to an instability threshold. We study this problem in the linear and nonlinear regimes, both…

Statistical Mechanics · Physics 2021-05-19 Adrian van Kan , Alexandros Alexakis , Marc-Etienne Brachet

This paper studies the stability and $\mathcal{H}_{\infty}$ performance analysis problem for linear networked and quantized control systems with both communication delays random packet losses. To deal with the network-induced uncertainties…

Systems and Control · Electrical Eng. & Systems 2021-03-05 Wei Ren , Junlin Xiong

Much research has been conducted arguing that tipping points at which complex systems experience phase transitions are difficult to identify. To test the existence of tipping points in financial markets, based on the alternating offer…

Computational Finance · Quantitative Finance 2016-08-24 Zvonko Kostanjcar , Stjepan Begusic , H. E. Stanley , Boris Podobnik

Multiple types of fluctuations impact the collective dynamics of power grids and thus challenge their robust operation. Fluctuations result from processes as different as dynamically changing demands, energy trading, and an increasing share…

Data Analysis, Statistics and Probability · Physics 2018-07-24 Benjamin Schäfer , Christian Beck , Kazuyuki Aihara , Dirk Witthaut , Marc Timme

Characterizing the dynamics of quantum systems is a central task for the development of quantum information processors (QIPs). It serves to benchmark different devices, learn about their specific noise, and plan the next hardware upgrades.…

Quantum Physics · Physics 2024-03-13 Dmitrii Dobrynin , Lorenzo Cardarelli , Markus Müller , Alejandro Bermudez

Interpreting partial information collected from systems subject to noise is a key problem across scientific disciplines. Theoretical frameworks often focus on the dynamics of variables that result from coarse-graining the internal states of…

Statistical Mechanics · Physics 2022-08-18 Pedro E. Harunari , Annwesha Dutta , Matteo Polettini , Édgar Roldán

We study delay-induced transitions in consensus dynamics on signed networks with a ring topology. The proposed model is formulated as a system of delay differential equations incorporating both cooperative and antagonistic interactions, as…

Dynamical Systems · Mathematics 2026-04-20 Hui Wu

We propose an approximation for the probability of tipping when the speed of parameter change and additive white noise interact to cause tipping. Our approximation is valid for small to moderate drift speeds and helps to estimate the…

Dynamical Systems · Mathematics 2017-12-14 Paul Ritchie , Jan Sieber

Critical infrastructure increasingly relies on interconnected cyber-physical systems whose security incidents can escalate rapidly into safety and operational failures. Existing decision-support approaches struggle to support real-time…

Cryptography and Security · Computer Science 2026-02-19 Shaofei Huang , Christopher M. Poskitt , Lwin Khin Shar

While power systems are reliable infrastructures, their complex interconnectivities allow for propagation of disturbances through cascading failures which causes blackouts. Meanwhile the ever increasing penetration level of renewable…

Applied Physics · Physics 2017-07-03 Mir Hadi Athari , Zhifang Wang

The dynamics of an ensemble of bistable elements under the influence of noise and with global time-delayed coupling is studied numerically by using a Langevin description and analytically by using 1) a Gaussian approximation and 2) a…

Statistical Mechanics · Physics 2009-11-10 Daniel Huber , Lev S. Tsimring

Timeout control is a simple mechanism used when direct feedback is either impossible, unreliable, or too costly, as is often the case in distributed systems. Its effectiveness is determined by a timeout threshold parameter and our goal is…

Optimization and Control · Mathematics 2015-03-20 Ali Kebarighotbi , Christos G. Cassandras

Blackouts in power grids typically result from cascading failures. The key importance of the electric power grid to society encourages further research into sustaining power system reliability and developing new methods to manage the risks…

Physics and Society · Physics 2014-02-18 Yakup Koç , Trivik Verma , Nuno A. M. Araujo , Martijn Warnier

For a Markovian dynamics on discrete states, the logarithmic ratio of waiting-time distributions between two successive, instantaneous transitions in forward and backward direction is a measure of time-irreversibility. It thus serves as an…

Statistical Mechanics · Physics 2024-06-13 Ellen Meyberg , Julius Degünther , Udo Seifert

This paper proposes a novel methodology for probabilistic dynamic security assessment and enhancement of power systems that considers load and generation variability, N-2 contingencies, and uncertain cascade propagation caused by uncertain…

Systems and Control · Electrical Eng. & Systems 2025-05-05 Frédéric Sabot , Pierre-Etienne Labeau , Pierre Henneaux

Living systems have time-evolving interactions that, until recently, could not be identified accurately from recorded time series in the presence of noise. Stankovski et al. (Phys. Rev. Lett. 109 024101, 2012) introduced a method based on…

Data Analysis, Statistics and Probability · Physics 2013-01-14 Andrea Duggento , Tomislav Stankovski , Peter V. E. McClintock , Aneta Stefanovska

Tipping in multistable systems occurs usually by varying the input slightly, resulting in the output switching to an often unsatisfactory state. This phenomenon is manifested in thermoacoustic systems. This thermoacoustic instability may…

Adaptation and Self-Organizing Systems · Physics 2020-09-29 Xiaoyu Zhang , Yong Xu , Qi Liu , Jürgen Kurths , Celso Grebogi

In view of the current availability and variety of measured data, there is an increasing demand for powerful signal processing tools that can cope successfully with the associated problems that often arise when data are being analysed. In…

Data Analysis, Statistics and Probability · Physics 2014-12-16 Tomislav Stankovski , Andrea Duggento , Peter V. E. McClintock , Aneta Stefanovska
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