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   Articles with "basin stability" as a keyword



Nonlinear Stability Measures of Synchronised States in a Power Grid Model

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recommendations! Published in 2025 at "Journal of Nonlinear Science"

DOI: 10.1007/s00332-025-10139-6

Abstract: Nonlinear stability of desired dynamics in multi-stable systems (systems with more than one attracting state) depends on the shape and size of its basins of attraction. ‘Basin stability’ estimates the volume of a state’s basin… read more here.

Keywords: basin stability; nonlinear stability; stability; power grid ... See more keywords

Transitional behaviour of convective patterns in free convection in porous media

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recommendations! Published in 2017 at "Journal of Fluid Mechanics"

DOI: 10.1017/jfm.2017.155

Abstract: The present study focuses on the transition between steady convective patterns in fluid-saturated porous media. We conduct experiments to identify the transition point from the single- to double-cell pattern in a two-dimensional porous medium. We… read more here.

Keywords: behaviour convective; convective patterns; basin stability; transitional behaviour ... See more keywords

Basin stability measure of different steady states in coupled oscillators

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recommendations! Published in 2017 at "Scientific Reports"

DOI: 10.1038/srep45909

Abstract: In this report, we investigate the stabilization of saddle fixed points in coupled oscillators where individual oscillators exhibit the saddle fixed points. The coupled oscillators may have two structurally different types of suppressed states, namely… read more here.

Keywords: coupled oscillators; death; steady states; basin stability ... See more keywords

Review of sample-based methods used in an analysis of multistable dynamical systems.

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recommendations! Published in 2022 at "Chaos"

DOI: 10.1063/5.0088379

Abstract: Sample-based methods are a useful tool in analyzing the global behavior of multi-stable systems originating from various branches of science. Classical methods, such as bifurcation diagrams, Lyapunov exponents, and basins of attraction, often fail to… read more here.

Keywords: sample based; based methods; review sample; methods used ... See more keywords
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Lévy noise influences basin stability in a delayed vegetation-water dynamical system.

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recommendations! Published in 2023 at "Chaos"

DOI: 10.1063/5.0137230

Abstract: The stochastic stability for the irregular attraction basin in a time-delayed vegetation-water ecosystem disturbed by Lévy noise is explored. We first discuss that average delay time does not change the attractors of the deterministic model… read more here.

Keywords: time; vegetation water; stability; delayed vegetation ... See more keywords

Discovering stochastic basin stability from data in a Filippov competition system with threshold control.

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recommendations! Published in 2025 at "Chaos"

DOI: 10.1063/5.0238372

Abstract: The existing research studies on the basin stability of stochastic systems typically focus on smooth systems, or the attraction basins are pre-defined as easily solvable regular basins. In this work, we introduce a new framework… read more here.

Keywords: competition system; system; threshold control; basin stability ... See more keywords

Maximum Basin Stability Principle for Synchronization Stability Control of Smart Grid

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recommendations! Published in 2018 at "Electric Power Components and Systems"

DOI: 10.1080/15325008.2018.1509918

Abstract: Abstract Stability control is a central issue in power grid as diverse as runtime monitoring, contingency response and regulation. A typical stability problem of non-linear networks such as smart grid, is that noise on one… read more here.

Keywords: control; basin stability; stability principle; maximum basin ... See more keywords

Multiple-node basin stability in complex dynamical networks.

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recommendations! Published in 2017 at "Physical Review E"

DOI: 10.1103/physreve.95.032317

Abstract: Dynamical entities interacting with each other on complex networks often exhibit multistability. The stability of a desired steady regime (e.g., a synchronized state) to large perturbations is critical in the operation of many real-world networked… read more here.

Keywords: stability; multiple node; node basin; basin stability ... See more keywords