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Related papers: Swarm Modelling with Dynamic Mode Decomposition

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Swarm robotics is a study of simple robots that exhibit complex behaviour only by interacting locally with other robots and their environment. The control in swarm robotics is mainly distributed whereas centralised control is widely used in…

Recent technological advances and long-term data studies provide interaction data that can be modelled through dynamic networks, i.e a sequence of different snapshots of an evolving ecological network. Most often time is the parameter along…

Populations and Evolution · Quantitative Biology 2017-01-06 Vincent Miele , Catherine Matias

The fundamental derivation of macroscopic model equations to describe swarms based on microscopic movement laws and mathematical analyses into their self-organisation capabilities remains a challenge from the perspective of both modelling…

Analysis of PDEs · Mathematics 2022-07-25 Sara Bernardi , Gissell Estrada-Rodriguez , Heiko Gimperlein , Kevin J. Painter

Swarms of coupled mobile agents subject to inter-agent wireless communication delays are known to exhibit multiple dynamic patterns in space that depend on the strength of the interactions and the magnitude of the communication delays. We…

Adaptation and Self-Organizing Systems · Physics 2020-08-26 Victoria Edwards , Philip deZonia , M. Ani Hsieh , Jason Hindes , Ioana Triandaf , Ira B Schwartz

We explore a simplified class of models we call swarms, which are inspired by the collective behavior of social insects. We perform a mean-field stability analysis and perform numerical simulations of the model. Several interesting types of…

adap-org · Physics 2009-10-28 Erik M. Rauch , Mark M. Millonas , Dante R. Chialvo

Over the past few decades, the research community has been interested in the study of multi-agent systems and their emerging collective dynamics. These systems are all around us in nature, like bacterial colonies, fish schools, bird flocks,…

Adaptation and Self-Organizing Systems · Physics 2023-12-12 Gourab Kumar Sar , Dibakar Ghosh

Building a distributed spatial awareness within a swarm of locally sensing and communicating robots enables new swarm algorithms. We use local observations by robots of each other and Gaussian Belief Propagation message passing combined…

Robotics · Computer Science 2024-11-12 Simon Jones , Sabine Hauert

Robot swarms offer inherent robustness and the capacity to execute complex, collaborative tasks surpassing the capabilities of single-agent systems. Co-designing these systems is critical, as marginal improvements in individual performance…

Robotics · Computer Science 2026-05-08 Andrew Wilhelm , Josie Hughes

We present Latent Diffeomorphic Dynamic Mode Decomposition (LDDMD), a new data reduction approach for the analysis of non-linear systems that combines the interpretability of Dynamic Mode Decomposition (DMD) with the predictive power of…

Machine Learning · Computer Science 2025-08-04 Willem Diepeveen , Jon Schwenk , Andrea Bertozzi

Dynamic Mode Decomposition (DMD) is a model-order reduction approach, whereby spatial modes of fixed temporal frequencies are extracted from numerical or experimental data sets. The DMD low-rank or reduced operator is typically obtained by…

Numerical Analysis · Mathematics 2023-01-25 Quincy A. Huhn , Mauricio E. Tano , Jean C. Ragusa , Youngsoo Choi

This paper introduces a framework for human swarm interaction studies that measures situation awareness in dynamic environments. A tablet-based interface was developed for a user study by implementing the concepts introduced in the…

Robotics · Computer Science 2025-11-03 Wasura D. Wattearachchi , Erandi Lakshika , Kathryn Kasmarik , Michael Barlow

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

Flexible spacecraft structures present significant challenges for physical and control system design due to nonlinear dynamics, mission constraints, environmental variables, and changing operational conditions. This paper presents a…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Matthew Hilsenrath , Daniel R. Herber

We study the large time behavior of a system of interacting agents modeling the relaxation of a large swarm of robots, whose task is to uniformly cover a portion of the domain by communicating with each other in terms of their distance. To…

Analysis of PDEs · Mathematics 2023-07-11 Ferdinando Auricchio , Massimo Carraturo , Giuseppe Toscani , Mattia Zanella

The ultra large multi-agent systems are becoming increasingly popular due to quick decay of the individual production costs and the potential of speeding up the solving of complex problems. Examples include nano-robots, or systems of…

Systems and Control · Computer Science 2013-11-18 Manuela L. Bujorianu , Marius C. Bujorianu

Swarming phenomena are ubiquitous in various physical, biological, and social systems, where simple local interactions between individual units lead to complex global patterns. A common feature of diverse swarming phenomena is that the…

Statistical Mechanics · Physics 2023-04-05 Yang Tian , Yunhui Xu , Pei Sun

Retardation between sensation and action is an inherent biological trait. Here we study its effect in the Vicsek model, which is a paradigmatic swarm model. We find that: (i) a discrete time delay in the orientational interactions…

Soft Condensed Matter · Physics 2022-11-28 Daniel Geiß , Klaus Kroy , Viktor Holubec

The self-organizing behavior of swarms of inter- acting particles or agents is a topic of intense research in fields extending from biology to physics and robotics. In this paper, we carry out a systematic study of how the stable…

Pattern Formation and Solitons · Physics 2015-03-02 Klimka Szwaykowska , Christoffer Heckman , Luis Mier-y-Teran-Romero , Ira B. Schwartz

This article presents a unique framework for deploying decentralized and infrastructure-independent swarms of homogeneous aerial vehicles in the real world without explicit communication. This is a requirement in swarm research, which…

Robotics · Computer Science 2023-03-07 Pavel Petracek , Viktor Walter , Tomas Baca , Martin Saska

In this paper we introduce a method for determining local interaction rules in animal swarms. The method is based on the assumption that the behavior of individuals in a swarm can be treated as a set of mechanistic rules. The principal idea…

Biological Physics · Physics 2015-03-13 Anders Eriksson , Martin Nilsson Jacobi , Johan Nystrom , Kolbjorn Tunstrom