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We consider the problem of characterizing the dynamics of interacting swarms after they collide and form a stationary center of mass. Modeling efforts have shown that the collision of near head-on interacting swarms can produce a variety of…

Pattern Formation and Solitons · Physics 2023-06-06 Sayomi Kamimoto , Jason Hindes , Ira Schwartz

Swarms are self-organized dynamical coupled agents which evolve from simple rules of communication. They are ubiquitous in nature, and be- coming more prominent in defense applications. Here we report on a preliminary study of swarm…

Adaptation and Self-Organizing Systems · Physics 2018-03-26 Carl Kolon , Ira B. Schwartz

Emergence and emergent behaviors are often defined as cases where changes in local interactions between agents at a lower level effectively changes what occurs in the higher level of the system (i.e., the whole swarm) and its properties.…

Robotics · Computer Science 2024-04-01 Ricardo Vega , Connor Mattson , Daniel S. Brown , Cameron Nowzari

In this paper, we propose a numerical investigation of topological interactions in flocking dynamics. Starting from a microscopic description of the phenomena, mesoscopic and macroscopic models have been previously derived under specific…

Analysis of PDEs · Mathematics 2025-12-30 Marta Menci , Thierry Paul , Stefano Rossi , Tommaso Tenna

We study the spatial patterns formed by a system of interacting particles where the mobility of any individual is determined by the population crowding at two different spatial scales. In this way we model the behavior of some biological…

Statistical Mechanics · Physics 2015-07-08 Ricardo Martínez-García , Clara Murgui , Emilio Hernández-García , Cristóbal López

Leadership and followership are essential parts of collective decision and organization in social animals, including humans. In nature, relationships of leaders and followers are dynamic and vary with context or temporal factors.…

Social and Information Networks · Computer Science 2020-11-20 Chainarong Amornbunchornvej , Tanya Y. Berger-Wolf

One of the aims of systems biology is to build multiple layered and multiple scale models of living systems which can efficiently describe phenomena occurring at various level of resolution. Such models should consist of layers of various…

Dynamical Systems · Mathematics 2015-03-03 Jacek Banasiak , Aleksandra Falkiewicz , Proscovia Namayanja

In nature self-organized systems as flock of birds, school of fishes or herd of sheeps have to deal with the presence of external agents such as predators or leaders which modify their internal dynamic. Such situations take into account a…

Biological Physics · Physics 2012-10-15 Giacomo Albi , Lorenzo Pareschi

Swarming patterns that emerge from the interaction of many mobile agents are a subject of great interest in fields ranging from biology to physics and robotics. In some application areas, multiple swarms effectively interact and collide,…

Pattern Formation and Solitons · Physics 2021-06-09 Jason Hindes , Victoria Edwards , M. Ani Hsieh , Ira B. Schwartz

A spacially extended model of the collective behavior of a large number of locally acting organisms is proposed in which organisms move probabilistically between local cells in space, but with weights dependent on local morphogenetic…

adap-org · Physics 2008-06-25 Mark M. Millonas

We investigate the emergence of self-organised trails between two specific target areas in collective motion of social organisms by means of an agent-based model. We present numerical evidences that an increase in the efficiency of…

Adaptation and Self-Organizing Systems · Physics 2018-02-27 E. Brigatti , A. Hernández

Collective motion of bird flocks can be explained via the hypothesis of many wrongs, and/or, a structured leadership mechanism. In pigeons, previous studies have shown that there is a well-defined hierarchical structure and certain specific…

Physics and Society · Physics 2015-06-03 Xiao-Ke Xu , Graciano Dieck Kattas , Michael Small

Self-organisation of individuals within large collectives occurs throughout biology. Mathematical models can help elucidate the individual-level mechanisms behind these dynamics, but analytical tractability often comes at the cost of…

By introducing a predictive mechanism with small-world connections, we propose a new motion protocol for self-driven flocks. The small-world connections are implemented by randomly adding long-range interactions from the leader to a few…

Data Analysis, Statistics and Probability · Physics 2009-02-03 Hai-Tao Zhang , Michael Z. Q. Chen , Tao Zhou

We study a leader-follower system of interacting particles subject to feedback control and derive its mean-field limits through a two-step passage: first to a micro-macro system coupling leader particles with a follower fluid, and then to a…

Analysis of PDEs · Mathematics 2025-08-07 Giacomo Albi , Young-Pil Choi , Matteo Piu , Sihyun Song

We overview recent developments in the study of alignment hydrodynamics, driven by a general class of symmetric communication kernels. A main question of interest is to characterize the emergent behavior of such systems, which we quantify…

Analysis of PDEs · Mathematics 2021-02-19 Eitan Tadmor

The internal behaviour of a population is an important feature to take account of when modelling their dynamics. In line with kin selection theory, many social species tend to cluster into distinct groups in order to enhance their overall…

Methodology · Statistics 2023-11-02 Blake McGrane-Corrigan , Oliver Mason , Rafael de Andrade Moral

Micro- and molecular-robotic systems act as large-scale swarms. Capabilities of sensing, communication and information processing are very limited on these scales. This short position paper describes a swarm-based minimalistic approach,…

Robotics · Computer Science 2015-03-19 S. Kornienko , O. Kornienko

In this paper we are concerned with multiscale modeling, control, and simulation of self-organizing agents leaving an unknown area under limited visibility, with special emphasis on crowds. We first introduce a new microscopic model…

Optimization and Control · Mathematics 2016-10-04 Giacomo Albi , Mattia Bongini , Emiliano Cristiani , Dante Kalise

Modelling biological or engineering swarms is challenging due to the inherently high dimension of the system, despite the often low-dimensional emergent dynamics. Most existing swarm modelling approaches are based on first principles and…

Neural and Evolutionary Computing · Computer Science 2022-04-14 Emma Hansen , Steven L. Brunton , Zhuoyuan Song