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A variety of agent-based models has been proposed to account for the emergence of coordinated collective behavior of animal groups from simple interaction rules. A common, simplifying assumption of such collective movement models, is the…

We derive a class of macroscopic differential equations that describe collective adaptation, starting from a discrete-time stochastic microscopic model. The behavior of each agent is a dynamic balance between adaptation that locally…

Adaptation and Self-Organizing Systems · Physics 2024-05-15 Yuzuru Sato , Eizo Akiyama , James P. Crutchfield

Diffusion models have emerged as powerful generative models in the text-to-image domain. This paper studies their application as observation-to-action models for imitating human behaviour in sequential environments. Human behaviour is…

We study the collective motion of autonomous mobile agents on a ringlike environment. The agents' dynamics is inspired by known laboratory experiments on the dynamics of locust swarms. In these experiments, locusts placed at arbitrary…

Multiagent Systems · Computer Science 2022-05-31 Michael Amir , Noa Agmon , Alfred M. Bruckstein

A simple model for the nonlinear collective transport of interacting particles in a random medium with strong disorder is introduced and analyzed. A finite threshold for the driving force divides the behavior into two regimes characterized…

Condensed Matter · Physics 2009-10-28 Joe Watson , Daniel S. Fisher

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

In this paper we study the emergence of coherence in collective motion described by a system of interacting motiles endowed with an inner, adaptative, steering mechanism. By means of a nonlinear parametric coupling, the system elements are…

Chaotic Dynamics · Physics 2015-05-19 Anselmo Garcia Cantu Ros , Chris Antonopoulos , Vasileios Basios

Collective behavior in biological systems was first captured by the Vicsek model, in which particles align their velocities in the average direction of neighbors, leading to coherent motion and showing an order-disorder transition. However,…

Soft Condensed Matter · Physics 2026-02-26 Mohit Gaur , Arnab Saha , Subhajit Paul

We review existing approaches to mathematical modeling and analysis of multi-agent systems in which complex collective behavior arises out of local interactions between many simple agents. Though the behavior of an individual agent can be…

Robotics · Computer Science 2007-05-23 Kristina Lerman , Aram Galstyan , Tad Hogg

The collective motion of self-driven agents is a phenomenon of great interest in interacting particle systems. In this paper, we develop and analyze a model of agent motion in one dimension with periodic boundaries using a stochastic…

Dynamical Systems · Mathematics 2023-03-28 Matthias Ehrhardt , Thomas Kruse , Antoine Tordeux

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

While natural systems often present collective intelligence that allows them to self-organize and adapt to changes, the equivalent is missing in most artificial systems. We explore the possibility of such a system in the context of…

We present a model of active particles interacting through a dynamic, heterogeneous environment, leading to emergent collective behaviors without direct agent-to-agent communication. Expanding the resource-dependent framework introduced in…

Biological Physics · Physics 2026-01-22 Gaston Briozzo , Gustavo J. Sibona , Fernando Peruani

This work presents a methodology for modeling and predicting human behavior in settings with N humans interacting in highly multimodal scenarios (i.e. where there are many possible highly-distinct futures). A motivating example includes…

Robotics · Computer Science 2018-07-27 Boris Ivanovic , Edward Schmerling , Karen Leung , Marco Pavone

Many organisms in nature use local interactions to generate global cooperative phenomena. To unravel how the behavior of individuals generates effective interactions within a group, we introduce a simple model, wherein each agent senses the…

Statistical Mechanics · Physics 2024-02-20 Samudrajit Thapa , Bat-El Pinchasik , Yair Shokef

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

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

Humans perform exquisite sensorimotor skills, both individually and in teams, from athletes performing rhythmic gymnastics to everyday tasks like carrying a cup of coffee. The "predictive brain" framework suggests that mastering these…

Neurons and Cognition · Quantitative Biology 2025-03-10 Marta Russo , Antonella Maselli , Dagmar Sternad , Giovanni Pezzulo

Collective control of mobile microrobotic swarms is indispensable for their potential high-impact applications in targeted drug delivery, medical diagnostics, parallel micromanipulation, and environmental sensing and remediation. Lack of…

Soft Condensed Matter · Physics 2018-07-26 Berk Yigit , Yunus Alapan , Metin Sitti

Humans can autonomously learn the relationship between sensation and motion in their own bodies, estimate and control their own body states, and move while continuously adapting to the current environment. On the other hand, current robots…

Robotics · Computer Science 2025-08-08 Kento Kawaharazuka , Kei Okada , Masayuki Inaba