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Fast-slow systems are studied usually by "geometrical dissection". The fast dynamics exhibit attractors which may bifurcate under the influence of the slow dynamics which is seen as a parameter of the fast dynamics. A generic solution comes…

动力系统 · 数学 2009-12-16 Alexandre Vidal , Jean-Pierre Françoise

With the rise of computers, simulation models have emerged beside the more traditional statistical and mathematical models as a third pillar for ecological analysis. Broadly speaking, a simulation model is an algorithm, typically…

种群与进化 · 定量生物学 2018-12-24 Florian Hartig

High performance computing (HPC) has driven collaborative science discovery for decades. Exascale computing platforms, currently in the design stage, will be deployed around 2022. The next generation of supercomputers is expected to utilize…

人机交互 · 计算机科学 2015-10-22 Nan-Chen Chen , Sarah S. Poon , Lavanya Ramakrishnan , Cecilia R. Aragon

Growing anthropogenic pressures have increased the need for robust predictive models. Meeting this demand requires approaches that can handle bigger data to yield forecasts that capture the variability and underlying uncertainty of…

定量方法 · 定量生物学 2024-08-06 EM Wolkovich , T Jonathan Davies , William D Pearse , Michael Betancourt

The fast-slow dynamics of an eco-evolutionary system are studied, where we consider the feedback actions of environmental resources that are classified into those that are self-renewing and those externally supplied. We show although these…

系统与控制 · 电气工程与系统科学 2022-06-01 Lulu Gong , Ming Cao

Foraging is a widespread behavior, and being part of a group may bring several benefits compared to solitary foraging, such as collective pooling of information and reducing environmental uncertainty. Often theoretical models of collective…

生物物理 · 物理学 2024-12-05 Lisa Blum Moyse , Ahmed El Hady

The last decade has witnessed a number of important and exciting developments that had been achieved for improving recurrence plot based data analysis and to widen its application potential. We will give a brief overview about important and…

混沌动力学 · 物理学 2024-09-09 Norbert Marwan , K. Hauke Kraemer

Recently, an evolutionary game dynamics model taking into account the environmental feedback has been proposed to describe the co-evolution of strategic actions of a population of individuals and the state of the surrounding environment;…

系统与控制 · 电气工程与系统科学 2022-05-24 Lulu Gong , Weijia Yao , Jian Gao , Ming Cao

Motivated by the climate crisis that is currently ravaging the planet, we propose and analyze a novel framework for the evolution of anthropogenic climate impact in which the evolution of human environmental behavior and environmental…

动力系统 · 数学 2022-11-22 Kathinka Frieswijk , Lorenzo Zino , A. Stephen Morse , Ming Cao

Standard epidemic models based on compartmental differential equations are investigated under continuous parameter change as external forcing. We show that seasonal modulation of the contact parameter superimposed a monotonic decay needs a…

种群与进化 · 定量生物学 2020-08-13 Tamás Kovács

Identifying and comparing topological features, particularly cycles, across different topological objects remains a fundamental challenge in persistent homology and topological data analysis. This work introduces a novel framework for…

定量方法 · 定量生物学 2025-12-16 Sixtus Dakurah

This work concerns the long-term dynamics of a spatiotemporal many-body deterministic model that exhibits emergence and self-organization, and which has been recently proposed as a new paradigm for Artificial Life. Collective structures…

适应与自组织系统 · 物理学 2023-10-19 Alessandro Scirè

Hypergraphs effectively model higher-order relationships in natural phenomena, capturing complex interactions beyond pairwise connections. We introduce a novel hypergraph message passing framework inspired by interacting particle systems,…

机器学习 · 计算机科学 2025-05-27 Yixuan Ma , Kai Yi , Pietro Lio , Shi Jin , Yu Guang Wang

Recently, computational modelling became a very important research tool that enables us to study problems that for decades evaded scientific analysis. Evolutionary systems are certainly examples of such problems: they are composed of many…

种群与进化 · 定量生物学 2009-07-04 Adam Lipowski , Dorota Lipowska

Methods and insights from statistical physics are finding an increasing variety of applications where one seeks to understand the emergent properties of a complex interacting system. One such area concerns the dynamics of language at a…

物理与社会 · 物理学 2015-11-13 Richard A. Blythe

The striking fractal geometry of strange attractors underscores the generative nature of chaos: like probability distributions, chaotic systems can be repeatedly measured to produce arbitrarily-detailed information about the underlying…

机器学习 · 计算机科学 2023-01-31 William Gilpin

How ecosystems respond to environmental perturbations is a fundamental question in ecology, made especially challenging due to the strong coupling between species and their environment. Here, we introduce a theoretical framework for…

种群与进化 · 定量生物学 2024-11-25 Akshit Goyal , Jason W. Rocks , Pankaj Mehta

Games with environmental feedback have become a crucial area of study across various scientific domains, modelling the dynamic interplay between human decisions and environmental changes, and highlighting the consequences of our choices on…

物理与社会 · 物理学 2024-03-19 Meghdad Saeedian , Chengyi Tu , Fabio Menegazzo , Paolo D'Odorico , Sandro Azaele , Samir Suweis

When the climate system is forced, e.g. by emission of greenhouse gases, it responds on multiple time scales. As temperatures rise, feedback processes might intensify or weaken. Current methods to analyze feedback strength, however, do not…

大气与海洋物理 · 物理学 2021-11-03 Robbin Bastiaansen , Henk A. Dijkstra , Anna S. von der Heydt

When a large number of similar entities interact among each other and with their environment at a low scale, unexpected outcomes at higher spatio-temporal scales might spontaneously arise. This nontrivial phenomenon, known as emergence,…

物理与社会 · 物理学 2022-05-25 Oriol Artime , Manlio De Domenico