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Fish, birds, insects and robots frequently swim or fly in groups. During their 3 dimensional collective motion, these agents do not stop, they avoid collisions by strong short-range repulsion, and achieve group cohesion by weak long-range…

Soft Condensed Matter · Physics 2018-07-04 Illes J. Farkas , Shuo-Hong Wang

The simplest model of a smart spatial redistribution of individuals is proposed. A single-species population is considered, to be composed of two discrete subpopulations inhabiting two stations; migration is a transfer between them. The…

Populations and Evolution · Quantitative Biology 2016-09-08 Michael Sadovsky

We study the evolution of social clusters, in an analogy with physical spin systems, and in detail show the importance of the concept of the "self" of each agent with quantifiable variable attributes. We investigate the effective influence…

Adaptation and Self-Organizing Systems · Physics 2008-06-03 Fariel Shafee

In this paper we describe a novel local algorithm for large statistical swarms using "harmonic attractor dynamics", by means of which a swarm can construct harmonics of the environment. This in turn allows the swarm to approximately…

Robotics · Computer Science 2017-06-14 Subhrajit Bhattacharya

This paper presents a unified mathematical theory of swarms where the dynamics of social behaviors interacts with the mechanical dynamics of self-propelled particles. The term behavioral swarms is introduced to characterize the specific…

Adaptation and Self-Organizing Systems · Physics 2020-06-24 Nicola Bellomo , Seung-Yeal Ha , Nisrine Outada

Systems of self-propelled particles are known for their tendency to aggregate and to display swarm behavior. We investigate two model systems, self-propelled rods interacting via volume exclusion, and sinusoidally-beating flagella embedded…

Biological Physics · Physics 2010-09-28 Yingzi Yang , Vincent Marceau , Gerhard Gompper

A continuum model for self-organized dynamics is numerically investigated. The model describes systems of particles subject to alignment interaction and short-range repulsion. It consists of a non-conservative hyperbolic system for the…

Mathematical Physics · Physics 2015-06-05 Pierre Degond , Jiale Hua

Multi-swarm systems, where two or more swarms of mobile agents occupy the same region of space with different parameters and goals, occur in a variety of biological, engineering, and defense applications. Composites of multiple swarms can…

Adaptation and Self-Organizing Systems · Physics 2026-03-13 Jason Hindes , Chinthan B. Prasad , Loy McGuire , Ira B. Schwartz

The safe control of multi-robot swarms is a challenging and active field of research, where common goals include maintaining group cohesion while simultaneously avoiding obstacles and inter-agent collision. Building off our previously…

Optimization and Control · Mathematics 2024-04-03 Brooks A. Butler , Chi Ho Leung , Philip E. Paré

In this work, we investigate swarm self-clustering, where robots autonomously organize into spatially coherent groups using only local sensing and decision-making, without external commands, global positioning, or inter-robot communication.…

Robotics · Computer Science 2026-03-19 Sweksha Jain , Rugved Katole , Leena Vachhani

Several mobile agents, modelled as deterministic automata, navigate in an infinite line in synchronous rounds. All agents start in the same round. In each round, an agent can move to one of the two neighboring nodes, or stay idle. Agents…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-08 Younan Gao , Andrzej Pelc

We investigate the optimal control of large-scale autonomous systems under explicitly adversarial conditions, incorporating the probabilistic destruction of agents over time. In many such systems, adversarial interactions arise as different…

Optimization and Control · Mathematics 2026-02-27 Claire Walton , Isaac Kaminer , Qi Gong , Abram H. Clark , Theodoros Tsatsanifos

In this paper, a distributed convex optimization problem with swarm tracking behavior is studied for continuous-time multi-agent systems. The agents' task is to drive their center to track an optimal trajectory which minimizes the sum of…

Optimization and Control · Mathematics 2015-07-20 Salar Rahili , Wei Ren , Sheida Ghapani

We present a 2D lattice model of self-propelled spins that can only change direction upon collision with another spin. We show that even with ballistic motion and minimal cooperativity, these spins display robust flocking behavior at nearly…

Soft Condensed Matter · Physics 2013-09-06 Kevin R. Pilkiewicz , Joel D. Eaves

Classical flocking models demonstrate how local interactions generate emergent order, but real-world multi-agent deployments are bound by severe constraints: limited actuator availability, heterogeneous communication latencies, and…

Optimization and Control · Mathematics 2026-05-04 Jiguang Yu

A simple periodically driven system displaying rich behavior is introduced and studied. The system self-organizes into a mosaic of static ordered regions with three possible patterns, which are threaded by one-dimensional paths on which a…

Statistical Mechanics · Physics 2015-03-24 Daniel Hexner , Dov Levine

We introduce a model, based on the Evolutionary Game Theory, for studying the dynamics of group formation. The latter constitutes a relevant phenomenon observed in different animal species, whose individuals tend to cluster together forming…

Populations and Evolution · Quantitative Biology 2018-02-07 Marco Alberto Javarone , Daniele Marinazzo

Cooperative transport is a striking phenomenon where multiple agents join forces to transit a payload too heavy for the individual. While social animals such as ants are routinely observed to coordinate transport at scale, reproducing the…

We analyze a simplistic model for run-and-tumble dynamics, motivated by observations of complex spatio-temporal patterns in colonies of myxobacteria. In our model, agents run with fixed speed either left or right, and agents turn with a…

Pattern Formation and Solitons · Physics 2017-12-04 Patrick Flynn , Quinton Neville , Arnd Scheel

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