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Ensemble forecasting is a technique devised to palliate sensitivity to initial conditions in nonlinear dynamical systems. The basic idea to avoid this sensitivity is to run the model many times under several slightly-different initial…

Atmospheric and Oceanic Physics · Physics 2015-06-26 F J Tapiador , R Verdejo

This paper presents an interaction-aware energy management optimization framework for Formula 1 racing. The considered scenario involves two agents and a drag reduction model. Strategic interactions between the agents are captured by a…

Systems and Control · Electrical Eng. & Systems 2025-08-21 Giona Fieni , Marc-Philippe Neumann , Alessandro Zanardi , Alberto Cerofolini , Christopher H. Onder

We present a minimal model for autonomous robotic swarms in one- and higher-dimensional spaces, where identical, field-driven agents interact pairwise to self-organize spacing and independently follow local gradients sensed through…

The study of flocking in biological systems has identified conditions for self-organized collective behavior, inspiring the development of decentralized strategies to coordinate the dynamics of swarms of drones and other autonomous…

Disordered Systems and Neural Networks · Physics 2025-11-05 Arthur N. Montanari , Ana Elisa D. Barioni , Chao Duan , Adilson E. Motter

We present a simple proof of asymptotic consensus in the discrete Hegselmann-Krause model and flocking in the discrete Cucker-Smale model with renormalization and variable delay. It is based on convexity of the renormalized communication…

Dynamical Systems · Mathematics 2020-06-30 Jan Haskovec

Flocking refers to collective behavior of a large number of interacting entities, where the interactions between discrete individuals produce collective motion on the large scale. We employ an agent-based model to describe the microscopic…

Numerical Analysis · Mathematics 2020-12-23 Zhiping Mao , Zhen Li , George Em Karniadakis

We analyze the dynamics of room evacuation for mixed populations that include both competitive and cooperative individuals through numerical simulations using the social force model. Cooperative agents represent well-trained individuals who…

Physics and Society · Physics 2024-05-17 Amir Zablotsky , Marcelo N Kuperman , Sebastián Bouzat

In this paper we study a kinetic model for pedestrians, who are assumed to adapt their motion towards a desired direction while avoiding collisions with others by stepping aside. These minimal microscopic interaction rules lead to complex…

Physics and Society · Physics 2018-02-27 Adriano Festa , Andrea Tosin , Marie-Therese Wolfram

Collision avoidance -- involving a rapid threat detection and quick execution of the appropriate evasive maneuver -- is a critical aspect of driving. However, existing models of human collision avoidance behavior are fragmented, focusing on…

We present a quantum thermometric protocol for the estimation of multiple temperatures within the collisional model framework. Employing the formalism of multiparameter quantum metrology, we develop a systematic strategy to estimate the…

Quantum Physics · Physics 2025-11-26 Srijon Ghosh , Sagnik Chakraborty , Rosario Lo Franco

We study the mean-field limit for a class of agent-based models describing flocking with nonlinear velocity alignment. Each agent interacts through a communication protocol $\phi$ and a non-linear coupling of velocities given by the power…

Analysis of PDEs · Mathematics 2026-01-01 Vinh Nguyen , Roman Shvydkoy , Changhui Tan

For the discrete Cucker-Smale's flocking model with a singular communication weight $\psi(s) = s^{-\alpha}$, with $0<\alpha<1/2$ , we prove that the velocity component of certain type of weak solutions is absolutly continuous. This result…

Analysis of PDEs · Mathematics 2014-12-22 Jan Peszek

This paper introduces an approach to address the target enclosing problem using non-holonomic multiagent systems, where agents self-organize on the enclosing shape around a fixed target. In our approach, agents independently move toward the…

Systems and Control · Electrical Eng. & Systems 2024-08-19 Praveen Kumar Ranjan , Abhinav Sinha , Yongcan Cao

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 consider the problem of controlling the group behavior of a large number of dynamic systems that are constantly interacting with each other. These systems are assumed to have identical dynamics (e.g., birds flock, robot swarm) and their…

Optimization and Control · Mathematics 2021-08-18 Yongxin Chen

Swarming behavior, where coherent motion emerges from the interactions of many mobile agents, is ubiquitous in physics and biology. Moreover, there are many efforts to replicate swarming dynamics in mobile robotic systems which take…

Adaptation and Self-Organizing Systems · Physics 2021-06-04 Ira B. Schwartz , Victoria Edwards , Jason Hindes

Collective motion in animal groups provide examples of emergent, decentralised coordination. Here, we examine a bottom-up model of collective behavior based on Future State Maximisation (FSM). In this model agents seek to maximise the…

Physics and Society · Physics 2026-01-22 Sam Turley , Matthew Turner

Populations of self-propelled mobile agents - animal groups, robot swarms or crowds of people - that exchange information with their surrounding, host fascinating cooperative behaviors. While in many situations of interest the agents motion…

Physics and Society · Physics 2019-01-28 Demian Levis , Albert Diaz-Guilera , Ignacio Pagonabarraga , Michele Starnini

Research on crowd simulation has important and wide range of applications. The main difficulty is how to lead all particles with a same and simple rule, especially when particles are numerous. In this paper, we firstly propose a two…

Numerical Analysis · Mathematics 2022-09-08 Tianlu Chen , Chang Yang , Léon Matar Tine , Zhichang Guo

Crowd dynamics and many large biological systems can be described as populations of agents or particles, which can only be observed on aggregate population level. Identifying the dynamics of agents is crucial for understanding these large…

Optimization and Control · Mathematics 2025-03-18 Filip Elvander , Isabel Haasler