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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

We investigate a class of continuum models for the motion of a two-dimensional biological group under the influence of nonlocal social interactions. The dynamics may be uniquely decomposed into incompressible motion and potential motion.…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 C. M. Topaz , A. L. Bertozzi

A simple weakly frequency dependent model for the dynamics of a population with a finite number of types is proposed, based upon an advantage of being rare. In the infinite population limit, this model gives rise to a non-smooth dynamical…

Populations and Evolution · Quantitative Biology 2007-05-23 Michael Baake , Uwe Grimm , Harald Jockusch

In this technical note we consider a class of multi-agent network systems that we refer to as Open Multi-Agent Systems (OMAS): in these multi-agent systems, an indefinite number of agents may join or leave the network at any time. Focusing…

Systems and Control · Electrical Eng. & Systems 2024-09-23 Mauro Franceschelli , Paolo Frasca

We propose a Self-Regulated Swarm (SRS) algorithm which hybridizes the advantageous characteristics of Swarm Intelligence as the emergence of a societal environmental memory or cognitive map via collective pheromone laying in the landscape…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Vitorino Ramos , Carlos Fernandes , Agostinho C. Rosa

We classify and predict the asymptotic dynamics of a class of swarming models. The model consists of a conservation equation in one dimension describing the movement of a population density field. The velocity is found by convolving the…

Populations and Evolution · Quantitative Biology 2015-05-13 A. J. Leverentz , C. M. Topaz , A. J. Bernoff

We introduce a stochastic agent-based model for the flocking dynamics of self-propelled particles that exhibit velocity-alignment interactions with neighbours within their field of view. The stochasticity in the dynamics of the model arises…

Statistical Mechanics · Physics 2019-07-24 Trilochan Bagarti , Shakti N. Menon

We present a model for controlling swarms of mobile agents via broadcast control, assumed to be detected by a random set of agents in the swarm. The agents that detect the control signal become ad-hoc leaders of the swarm. The agents are…

Robotics · Computer Science 2016-07-19 Ilana Segall , Alfred Bruckstein

Self-organization of heterogeneous particle swarms is rich in its dynamics but hard to design in a traditional top-down manner, especially when many types of kinetically distinct particles are involved. In this chapter, we discuss how we…

Neural and Evolutionary Computing · Computer Science 2017-05-29 Hiroki Sayama

The Motsch-Tadmor (MT) model is a variant of the Cucker-Smale model with a normalized communication weight function. The normalization poses technical challenges in analyzing the collective behavior due to the absence of conservation of…

Numerical Analysis · Mathematics 2024-08-21 Seung-Yeal Ha , Franca Hoffmann , Dohyeon Kim , Wook Yoon

This paper introduces a novel approach of clustering, which is based on group consensus of dynamic linear high-order multi-agent systems. The graph topology is associated with a selected multi-agent system, with each agent corresponding to…

Systems and Control · Computer Science 2017-06-13 Ning Cai , Chen Diao , M. Junaid Khan

Collective animal behaviors are paradigmatic examples of fully decentralized operations involving complex collective computations such as collective turns in flocks of birds or collective harvesting by ants. These systems offer a unique…

Robotics · Computer Science 2022-09-28 Jabez Leong Kit , David Mateo , Roland Bouffanais

Self-organization is frequently observed in active collectives, from ant rafts to molecular motor assemblies. General principles describing self-organization away from equilibrium have been challenging to identify. We offer a unifying…

Swarm robotics utilises decentralised self-organising systems to form complex collective behaviours built from the bottom-up using individuals that have limited capabilities. Previous work has shown that simple occlusion-based strategies…

Robotics · Computer Science 2026-05-14 Breno Cunha Queiroz , Daniel MacRae

Most of the grand challenges of humanity today involve complex agent-based systems, such as epidemiology, economics or ecology. However, remains as a pending task the challenge of identifying the general principles underlying their…

General Finance · Quantitative Finance 2020-10-19 Martin Jaraiz

This paper considers the problem of steering a vast group of agents of which the dynamics are governed by a discrete-time first-order linear system. The group of agents are characterized as a probability density function and an occupation…

Optimization and Control · Mathematics 2024-01-24 Guangyu Wu , Anders Lindquist

In this paper, we study the behavior of systems of individuals in confined environments that are driven by laws of self-organization. We propose that, under certain conditions, the long-term behavior of such systems will be global…

Classical Analysis and ODEs · Mathematics 2020-05-14 Veronica Kalicki

Collective behaviour is a widespread phenomenon in biology, cutting through a huge span of scales, from cell colonies up to bird flocks and fish schools. The most prominent trait of collective behaviour is the emergence of global order:…

Statistical Mechanics · Physics 2015-06-16 A. Attanasi , A. Cavagna , L. Del Castello , I. Giardina , S. Melillo , L. Parisi , O. Pohl , B. Rossaro , E. Shen , E. Silvestri , M. Viale

Large animal groups -- bird flocks, fish schools, insect swarms -- are often assumed to form by gradual aggregation of sparsely distributed individuals. Using a mathematically precise framework based on time-varying directed interaction…

Populations and Evolution · Quantitative Biology 2025-12-02 Jidong Jin

We propose a model for demonstrating spontaneous emergence of collective intelligent behavior from selfish individual agents. Agents' behavior is modeled using our proposed selfish algorithm ($SA$) with three learning mechanisms: reinforced…

Adaptation and Self-Organizing Systems · Physics 2020-01-06 Korosh Mahmoodi , Bruce J. West , Cleotilde Gonzalez
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