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Related papers: Modelling Hierarchical Flocking

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Historical episodes such as the World War I "live-and-let-live" system and the Christmas Truce of 1914 demonstrate that opposing military units can establish spontaneous, local cooperation even in extreme conflict environments. Such…

Theoretical Economics · Economics 2026-03-20 Leonardo Becchetti , Franceso Salustri , Nazaria Solferino

From a mathematical point of view self-organization can be described as patterns to which certain dynamical systems modeling social dynamics tend spontaneously to be attracted. In this paper we explore situations beyond self-organization,…

Optimization and Control · Mathematics 2014-03-24 Marco Caponigro , Massimo Fornasier , Benedetto Piccoli , Emmanuel Trélat

Currently, the general aim of flocking and formation control laws for multi-agent systems is to form and maintain a rigid configuration, such as, the alpha-lattices in flocking control methods, where the desired distance between each pair…

Systems and Control · Electrical Eng. & Systems 2023-08-09 Tinghua Li , Bayu Jayawardhana

Flocking is a prime example of how robust collective behavior can emerge from simple interaction rules. The flocking transition has been studied extensively since the inception of the original Vicsek model. Here, we introduce a novel…

Soft Condensed Matter · Physics 2024-09-18 Eloise Lardet , Raphaël Voituriez , Silvia Grigolon , Thibault Bertrand

We study the collective dynamics of a lattice model of stochastically interacting agents with a weighted field of vision. We assume that agents preferentially interact with neighbours, depending on their relative location, through velocity…

Statistical Mechanics · Physics 2024-06-11 Shakti N. Menon , Trilochan Bagarti , Abhijit Chakraborty

Many animal groups are heterogeneous and may even consist of individuals of different species, called mixed-species flocks. Mathematical and computational models of collective animal movement behaviour, however, typically assume that groups…

Adaptation and Self-Organizing Systems · Physics 2019-03-27 Gokul G. Nair , Athmanathan Senthilnathan , Srikanth K. Iyer , Vishwesha Guttal

This paper deals with grouping of entities in a fleet based on their behavior. The behavior of each entity is characterized by its historical dataset, which comprises a dependent variable, typically a performance measure, and multiple…

Social and Information Networks · Computer Science 2015-01-20 Pankaj Pansari , C. Rajagopalan , Ramasubramanian Sundararajan

The stability of a leadership against a growing internal opposition is studied in bottom-up hierarchical organizations. Using a very simple model with bottom-up majority rule voting, the dynamics of power distribution at the various…

Physics and Society · Physics 2007-05-23 Serge Galam

Many social and biological systems are characterized by enduring hierarchies, including those organized around prestige in academia, dominance in animal groups, and desirability in online dating. Despite their ubiquity, the general…

Social and Information Networks · Computer Science 2022-04-27 Mari Kawakatsu , Philip S. Chodrow , Nicole Eikmeier , Daniel B. Larremore

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

Swarms are self-organized dynamical coupled agents which evolve from simple rules of communication. They are ubiquitous in nature, and be- coming more prominent in defense applications. Here we report on a preliminary study of swarm…

Adaptation and Self-Organizing Systems · Physics 2018-03-26 Carl Kolon , Ira B. Schwartz

We describe the spectra of certain tridiagonal matrices arising from differential equations commonly used for modeling flocking behavior. In particular we consider systems resulting from allowing an arbitrary boundary condition for the end…

Classical Analysis and ODEs · Mathematics 2014-08-07 J. J. P. Veerman , David K. Hammond

We introduce a Cucker-Smale-type model for flocking, where the strength of interaction between two agents depends on their relative separation (called "topological distance" in previous works), which is the number of intermediate…

Dynamical Systems · Mathematics 2015-06-12 Jan Haskovec

We introduce a model for self-organized dynamics which, we argue, addresses several drawbacks of the celebrated Cucker-Smale (C-S) model. The proposed model does not only take into account the distance between agents, but instead, the…

Analysis of PDEs · Mathematics 2015-05-27 Sebastien Motsch , Eitan Tadmor

Building a machine learning solution in real-life applications often involves the decomposition of the problem into multiple models of various complexity. This has advantages in terms of overall performance, better interpretability of the…

Artificial Intelligence · Computer Science 2020-05-27 Bashar Awwad Shiekh Hasan , Kate Kelly

We explore using latent natural language instructions as an expressive and compositional representation of complex actions for hierarchical decision making. Rather than directly selecting micro-actions, our agent first generates a latent…

Artificial Intelligence · Computer Science 2019-10-03 Hengyuan Hu , Denis Yarats , Qucheng Gong , Yuandong Tian , Mike Lewis

Within a simple model of attractive active Brownian particles, we predict flocking behavior and challenge the widespread idea that alignment interactions are necessary to observe this collective phenomenon. Here, we show that even…

Soft Condensed Matter · Physics 2023-04-19 Lorenzo Caprini , Hartmut Löwen

An essential requirement for the representation of functional patterns in complex neural networks, such as the mammalian cerebral cortex, is the existence of stable network activations within a limited critical range. In this range, the…

Neurons and Cognition · Quantitative Biology 2008-02-19 Marcus Kaiser , Matthias Goerner , Claus C. Hilgetag

This paper proposes a model-based framework to automatically and efficiently design understandable and verifiable behaviors for swarms of robots. The framework is based on the automatic extraction of two distinct models: 1) a neural network…

Robotics · Computer Science 2021-03-10 Mario Coppola , Jian Guo , Eberhard Gill , Guido C. H. E. de Croon

We study a neuro-inspired model that mimics a discussion (or information dissemination) process in a network of agents. During their interaction, agents redistribute activity and network weights, resulting in emergence of leader(s). The…

Physics and Society · Physics 2017-10-26 Armen E. Allahverdyan , Aram Galstyan