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This paper introduces a novel approach to quantifying ecological resilience in biological systems, particularly focusing on noisy systems responding to episodic disturbances with sudden adaptations. Incorporating concepts from…

定量方法 · 定量生物学 2024-12-24 Jorge M. Ramirez , Juan M. Restrepo , Valerio Lucarini , David Weston

There are many scales at which to quantify stability in spatial and ecological networks. Local-scale analyses focus on specific nodes of the spatial network, while regional-scale analyses consider the whole network. Similarly, species- and…

种群与进化 · 定量生物学 2022-10-19 Javier Jarillo , Francisco J. Cao-García , Frederik De Laender

The concept of resilience embodies the quest towards the ability to sustain shocks, to suffer from these shocks as little as possible, for the shortest time possible, and to recover with the full functionalities that existed before the…

物理与社会 · 物理学 2014-08-26 Tatyana Kovalenko , Didier Sornette

Stability is among the most important concepts in dynamical systems. Local stability is well-studied, whereas determining how "globally stable" a nonlinear system is very challenging. Over the last few decades, many different ideas have…

动力系统 · 数学 2022-10-10 Hana Krakovská , Christian Kühn , Iacopo P. Longo

Rising interest in the resilience of ecological systems has spawned diverse interpretations of the term's precise meaning. This paper classifies and explores definitions of resilience from the ecological literature using a dynamical systems…

动力系统 · 数学 2018-03-22 Katherine Meyer

The stability of ecological systems is a fundamental concept in ecology, which offers profound insights into species coexistence, biodiversity, and community persistence. In this article, we provide a systematic and comprehensive review on…

动力系统 · 数学 2024-02-08 Can Chen , Xu-Wen Wang , Yang-Yu Liu

Resilience broadly describes a quality of withstanding perturbations. Measures of system resilience have gathered increasing attention across applied disciplines, yet existing metrics often lack computational accessibility and…

动力系统 · 数学 2026-02-09 Andreas Morr , Christian Kuehn , George Datseris

Natural systems are remarkably robust and resilient, maintaining essential functions despite variability, uncertainty, and hostile conditions. Understanding these nonlinear, dynamic behaviours is challenging because such systems involve…

数学物理 · 物理学 2025-12-02 Daniele Proverbio , Rami Katz , Giulia Giordano

Comparable to the traditional notion of stability in system dynamics, resilience is typically measured in a way that assesses the quality of a system's response, for example the speed of its recovery. We present a broadly applicable…

物理与社会 · 物理学 2023-06-26 Samuel Bien , Paul Schultz , Jobst Heitzig , Jonathan F. Donges

We define the empiric stochastic stability of an invariant measure in the finite-time scenario, the classical definition of stochastic stability. We prove that an invariant measure of a continuous system is empirically stochastically stable…

动力系统 · 数学 2018-03-01 Eleonora Catsigeras

Shifting ecosystem disturbance patterns due to climate change (e.g. storms, droughts, wildfires) or direct human interference (e.g. harvests, nutrient loading) highlight the importance of quantifying and strengthening the resilience of…

Given the significance of physical measures in understanding the complexity of dynamical systems as well as the noisy nature of real-world systems, investigating the stability of physical measures under noise perturbations is undoubtedly a…

动力系统 · 数学 2025-06-24 Weiwei Qi , Zhongwei Shen , Yingfei Yi

On the basis of an analysis of previous research, we present a generalized approach for measuring the difference of plans with an exemplary application to machine scheduling. Our work is motivated by the need for such measures, which are…

人工智能 · 计算机科学 2015-03-17 Martin Josef Geiger

Empirical diagnosis of stability has received considerable attention, mostly focused on variance metrics for early warning signals of abrupt system change. Despite this, the theoretical foundation and application has been limited to…

适应与自组织系统 · 物理学 2020-09-11 Zachary C Williams , Dylan E McNamara

Resilience is a rehashed concept in natural hazard management - resilience of cities to earthquakes, to floods, to fire, etc. In a word, a system is said to be resilient if there exists a strategy that can drive the system state back to…

最优化与控制 · 数学 2018-01-17 Michel De Lara

Drawing from engineering systems and control theory, we introduce a framework to understand repository stability, which is a repository activity capacity to return to equilibrium following disturbances - such as a sudden influx of bug…

软件工程 · 计算机科学 2025-04-11 Giuseppe Destefanis , Silvia Bartolucci , Daniel Graziotin , Rumyana Neykova , Marco Ortu

Resilience is a rehashed concept in natural hazard management - resilience of cities to earthquakes, to floods, to fire, etc. In a word, a system is said to be resilient if there exists a strategy that can drive the system state back to…

最优化与控制 · 数学 2018-02-05 Michel De Lara

Due to the diffusion of IoT, modern software systems are often thought to control and coordinate smart devices in order to manage assets and resources, and to guarantee efficient behaviours. For this class of systems, which interact…

计算机科学中的逻辑 · 计算机科学 2024-02-14 Valentina Castiglioni , Michele Loreti , Simone Tini

The emergent dynamics of complex systems often arise from the internal dynamical interactions among different elements and hence is to be modeled using multiple variables that represent the different dynamical processes. When such systems…

混沌动力学 · 物理学 2024-11-05 Shivam Kumar , R. Misra , G. Ambika

The present article introduces a reference framework for discussing resilience of computational systems. Rather than a property that may or may not be exhibited by a system, resilience is interpreted here as the emerging result of a dynamic…

系统与控制 · 计算机科学 2015-04-13 Vincenzo De Florio
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