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Colloidal particles, amphiphiles, and functionalized nanoparticles are examples of systems that frequently exhibit short-range attractions coupled with long-range repulsions. In this work, we observe striking differences in the dynamics of…

Soft Condensed Matter · Physics 2017-06-01 Jakub Pȩkalski , Andrew P. Santos , Athanassios Z. Panagiotopoulos

This paper introduces a crowd modeling and motion control approach that employs diffusion adaptation within an adaptive network. In the network, nodes collaboratively address specific estimation problems while simultaneously moving as…

Multiagent Systems · Computer Science 2023-10-25 Zirui Wan , Saeid Sanei

Swarming is a conspicuous behavioural trait observed in bird flocks, fish shoals, insect swarms and mammal herds. It is thought to improve collective awareness and offer protection from predators. Many current models involve the hypothesis…

Quantitative Methods · Quantitative Biology 2015-06-22 Daniel J. G. Pearce , A. M. Miller , George Rowlands , Matthew S. Turner

Collective phenomena, whereby agent-agent interactions determine spatial patterns, are ubiquitous in the animal kingdom. On the other hand, movement and space use are also greatly influenced by the interactions between animals and their…

Quantitative Methods · Quantitative Biology 2016-03-21 Jonathan R. Potts , Karl Mokross , Mark A. Lewis

This paper presents the foundational ideas for a new way of modeling social aggregation. Traditional approaches have been using network theory, and the theory of random networks. Under that paradigm, every social agent is represented by a…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Mirco A. Mannucci , Lisa Sparks , Daniele C. Struppa

Animal groups frequently move in a highly organized manner, as represented by flocks of birds and schools of fish. Despite being an everyday occurrence, we do not yet fully understand how this works. What type of social interactions between…

Quantitative Methods · Quantitative Biology 2021-11-23 Daniel Strömbom , Tasnia Hassan , W. Hunter Greis , Alice Antia

The aggregation dynamics of slime mold is studied using coupled equations of phase \phi and cell concentration n. Phase waves work as tactic signals for aggregation. Branching structures appear during the aggregation. A stationary branching…

Pattern Formation and Solitons · Physics 2016-08-24 Hidetsugu Sakaguchi , Takuma Kusagaki

We present a strategy capable of describing basic features of the dynamics of crowds. The behaviour of the crowd is considered from a twofold perspective. We examine both the large scale behaviour of the crowd, and phenomena happening at…

Mathematical Physics · Physics 2011-08-09 Joep Evers

Here we consider the communications tactics appropriate for a group of agents that need to "swarm" together in a highly adversarial environment. Specfically, whilst they need to cooperate by exchanging information with each other about…

Multiagent Systems · Computer Science 2023-04-07 Paul Kinsler , Sean Holman , Andrew Elliott , Cathryn N. Mitchell , R. Eddie Wilson

Large crowds exhibit intricate behaviors and significant emergent properties, yet existing crowd simulation systems often lack behavioral diversity, resulting in homogeneous simulation outcomes. To address this limitation, we propose…

Multiagent Systems · Computer Science 2024-09-25 Yihao Li , Junyu Liu , Xiaoyu Guan , Hanming Hou , Tianyu Huang

Swarming of animal groups enthralls scientists in fields ranging from biology to physics to engineering. Complex swarming patterns often arise from simple interactions between individuals to the benefit of the collective whole. The…

Biological Physics · Physics 2017-09-08 Glenn Palmer , Sho Yaida

We investigate the kinetics of many-species systems with aggregation of similar species clusters and annihilation of opposite species clusters. We find that the interplay between aggregation and annihilation leads to rich kinetic behaviors…

Condensed Matter · Physics 2009-10-28 E. Ben-Naim , P. L. Krapivsky

We consider models of identical pulse-coupled oscillators with global interactions. Previous work showed that under certain conditions such systems always end up in sync, but did not quantify how small clusters of synchronized oscillators…

Adaptation and Self-Organizing Systems · Physics 2015-08-12 Kevin P. O'Keeffe , Pavel L. Krapivsky , Steven H. Strogatz

We introduce and analyze a model for the dynamics of flocking and steering of a finite number of agents. In this model, each agent's acceleration consists of flocking and steering components. The flocking component is a generalization of…

Dynamical Systems · Mathematics 2022-02-22 Guy A Djokam , Muruhan Rathinam

We investigate the transition from incoherence to global collective motion in a three-dimensional swarming model of agents with helical trajectories, subject to noise and global coupling. Without noise this model was recently proposed as a…

Statistical Mechanics · Physics 2021-07-28 Chunming Zheng , Ralf Toenjes , Arkady Pikovsky

Collective sensing is an emergent phenomenon which enables individuals to estimate a hidden property of the environment through the observation of social interactions. Previous work on collective sensing shows that gregarious individuals…

Populations and Evolution · Quantitative Biology 2018-05-24 Stefano Bennati

We study the collective dynamics of a population of particles/organisms subject to self-consistent attraction-repulsion interactions and an external velocity field. The starting point of our analysis is a mean-field kinetic model and we…

Analysis of PDEs · Mathematics 2025-11-04 Thierry Goudon , Antoine Mellet

Swarm dynamics is the study of collections of agents that interact with one another without central control. In natural systems, insects, birds, fish and other large mammals function in larger units to increase the overall fitness of the…

Neural and Evolutionary Computing · Computer Science 2014-07-02 Yu Sun , Louis F. Rossi , Chien-Chung Shen , Jennifer Miller , X. Rosalind Wang , Joseph T. Lizier , Mikhail Prokopenko , Upul Senanayake

Mathematical models for systems of interacting agents using simple local rules have been proposed and shown to exhibit emergent swarming behavior. Most of these models are constructed by intuition or manual observations of real phenomena,…

Adaptation and Self-Organizing Systems · Physics 2015-06-04 Graciano Dieck Kattas , Xiao-ke Xu , Michael Small

This paper is concerned with mathematical modeling of intelligent systems, such as human crowds and animal groups. In particular, the focus is on the emergence of different self-organized patterns from non-locality and anisotropy of the…

Mathematical Physics · Physics 2010-09-07 Emiliano Cristiani , Benedetto Piccoli , Andrea Tosin