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Symmetry-breaking instabilities play an important role in understanding the mechanisms underlying the diversity of patterns observed in nature, such as in Turing's reaction--diffusion theory, which connects cellular signalling and transport…

Pattern Formation and Solitons · Physics 2023-12-25 Andrew L. Krause , Eamonn A. Gaffney , Thomas Jun Jewell , Václav Klika , Benjamin J. Walker

Ecological systems are studied using many different approaches and mathematical tools. One approach, based on the Jacobian of Lotka-Volterra type models, has been a staple of mathematical ecology for years, leading to many ideas such as on…

Populations and Evolution · Quantitative Biology 2021-06-25 Michael Thorne

Ecology and evolution are inseparable. Motivated by some recent experiments, we have developed models of evolutionary ecology from the perspective of dynamic networks. In these models, in addition to the intra-node dynamics, which…

Populations and Evolution · Quantitative Biology 2009-11-10 Debashish Chowdhury , Dietrich Stauffer

How do landscape fragmentation affects ecosystems diversity and stability is an important and complex question in ecology with no simple answer, as spatially separated habitats where species live are highly dynamic rather than just static.…

Chaotic Dynamics · Physics 2016-08-17 Ramesh Arumugam , Partha Sharathi Dutta , Tanmoy Banerjee

Constraints placed upon the phenotypes of organisms result from their interactions with the environment. Over evolutionary timescales, these constraints feed back onto smaller molecular subnetworks comprising the organism. The evolution of…

Molecular Networks · Quantitative Biology 2015-06-10 Cameron Smith , Ximo Pechuan , Raymond S. Puzio , Daniel Biro , Aviv Bergman

The continuity of life and its evolution, we proposed, emerge from an interactive group process manifested in networks of interaction. We term this process \textit{survival-of-the-fitted}. Here, we reason that survival of the fitted results…

Neural and Evolutionary Computing · Computer Science 2025-06-17 Irun R. Cohen , Assaf Marron

Complementarity is one of the main features underlying the interactions in biological and biochemical systems. Inspired by those systems we propose a model for the dynamical evolution of a system composed by agents that interact due to…

Disordered Systems and Neural Networks · Physics 2009-11-07 M. Copelli , R. M. Zorzenon dos Santos , J. S. Sa Martins

There has recently been an explosion of interest in how "higher-order" structures emerge in complex systems. This "emergent" organization has been found in a variety of natural and artificial systems, although at present the field lacks a…

Information Theory · Computer Science 2024-01-30 Thomas F. Varley , Joshua Bongard

Network structures in a wide array of systems such as social networks, transportation, power and water distribution infrastructures, and biological and ecological systems can exhibit critical thresholds or tipping points beyond which there…

Ecology studies biodiversity in its variety and complexity. It describes how species distribute and perform in response to environmental changes. Ecological processes and structures are highly complex and adaptive. In order to quantify…

Populations and Evolution · Quantitative Biology 2013-10-09 Cang Hui

We investigate the emergence and persistence of communities through a recently proposed mechanism of adaptive rewiring in coevolutionary networks. We characterize the topological structures arising in a coevolutionary network subject to an…

Physics and Society · Physics 2015-06-22 J. C. González-Avella , M. G. Cosenza , J. L. Herrera , K. Tucci

The observed architecture of ecological and socio-economic networks differs significantly from that of random networks. From a network science standpoint, non-random structural patterns observed in real networks call for an explanation of…

Physics and Society · Physics 2019-05-30 Manuel Sebastian Mariani , Zhuo-Ming Ren , Jordi Bascompte , Claudio Juan Tessone

The relationship between network topology and system dynamics has significant implications for unifying our understanding of the interplay among metabolic, gene-regulatory, and ecosystem network architecures. Here we analyze the stability…

Populations and Evolution · Quantitative Biology 2015-06-17 Cameron Smith , Raymond S. Puzio , Aviv Bergman

Collectives form non-equilibrium social structures characterised by a volatile dynamics. Individuals join or leave. Social relations change quickly. Therefore, differently from engineered or ecological systems, a resilient reference state…

Physics and Society · Physics 2022-10-19 Frank Schweitzer , Christian Zingg , Giona Casiraghi

Like all natural systems, great societies and their cultures emerge by a growth process from their environments, developing, organized, and behaving as wholes with their internal designs linked with their external worlds. So the general…

Physics and Society · Physics 2022-08-16 Jessie Henshaw

The evolutionary mechanisms of cooperative behavior represent a fundamental topic in complex systems and evolutionary dynamics. Real-world collective interactions, particularly in multi-agent systems, are often characterized by…

Adaptation and Self-Organizing Systems · Physics 2026-02-23 Yishen Jiang , Xin Wang , Wenqiang Zhu , Ming Wei , Longzhao Liu , Shaoting Tang , Hongwei Zheng

Today's economy, production activity, and our life are sustained by social and technological network infrastructures, while new threats of network attacks by destructing loops have been found recently in network science. We inversely take…

Physics and Society · Physics 2018-03-08 Yukio Hayashi

The co-evolution of structure and dynamics, known as adaptivity, is a fundamental property in various systems and drives diverse emergent behaviors. However, the adaptivity in previous works is primarily stemmed from pairwise situations,…

Physics and Society · Physics 2025-08-22 Longzhao Liu , Hongwei Zheng , Zhihao Han , Xin Wang , Shaoting Tang

Criticality has been proposed as a mechanism for the emergence of complexity, life, and computation, as it exhibits a balance between robustness and adaptability. In classic models of complex systems where structure and dynamics are…

Statistical Mechanics · Physics 2026-02-04 Fernanda Sánchez-Puig , Octavio Zapata , Omar K. Pineda , Gerardo Iñiguez , Carlos Gershenson

Model studies indicate that many climate subsystems, especially ecosystems, may be vulnerable to 'tipping': a 'catastrophic process' in which a system, driven by gradually changing external factors, abruptly transitions (or 'collapses')…

Dynamical Systems · Mathematics 2025-06-30 Dock Staal , Arjen Doelman