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The orderly behaviors observed in large-scale groups, such as fish schooling and the organized movement of crowds, are both ubiquitous and essential for the survival and stability of these systems. Understanding how such complex collective…

Physics and Society · Physics 2025-10-28 Yu Xia , Alex McAvoy , Qi Su

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

This paper investigates stability analysis of flapping flight. Due to time-varying aerodynamic forces, such systems do not display fixed points of equilibrium. The problem is therefore approached via a limit cycle analysis based on Floquet…

Mathematical models for systems of interacting agents using simple local rules have been proposed and shown to exhibit emergent swarming behavior. Most of these models are constructed by intuition or manual observations of real phenomena,…

Adaptation and Self-Organizing Systems · Physics 2015-06-04 Graciano Dieck Kattas , Xiao-ke Xu , Michael Small

Collective motion in biology is often modelled as a dynamical system, in which individuals are represented as particles whose interactions are determined by the current state of the system. Many animals, however, including humans, have…

Biological Physics · Physics 2018-01-03 P. Gerlee , K. Tunstrøm , T. Lundh , B. Wennberg

The field of complex networks studies a wide variety of interacting systems by representing them as networks. To understand their properties and mutual relations, the randomisation of network connections is a commonly used tool. However,…

Statistical Mechanics · Physics 2024-10-18 Noam Abadi , Franco Ruzzenenti

How large ecosystems can create and maintain the remarkable biodiversity we see in nature is probably one of the biggest open questions in science, attracting attention from different fields, from Theoretical Ecology to Mathematics and…

Populations and Evolution · Quantitative Biology 2023-01-03 Violeta Calleja-Solanas , Nagi Khalil , Jesús Gómez-Gardeñes , Emilio Hernández-García , Sandro Meloni

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

Living organisms, ecosystems, and social systems are examples of complex systems in which robustness against inclusion of new elements is an essential feature. A recently proposed simple model has revealed a general mechanism by which such…

Adaptation and Self-Organizing Systems · Physics 2018-01-24 Fumiko Ogushi , János Kertész , Kimmo Kaski , Takashi Shimada

We use a combination of unsupervised clustering and sparsity-promoting inference algorithms to learn locally dominant force balances that explain macroscopic pattern formation in self-organized active particle systems. The self-organized…

Soft Condensed Matter · Physics 2023-07-28 Dominik Sturm , Suryanarayana Maddu , Ivo F. Sbalzarini

We investigate the stability of self-propelled particle flocks in the Taylor-Green vortex, a steady vortical flow. We consider a model where particles align themselves to a combination of the orientation and the acceleration of particles…

Biological Physics · Physics 2016-07-13 Andrew W. Baggaley

A nonequilibrium system of locally interacting elements in a lattice with an absorbing order-disorder phase transition is studied under the effect of additional interacting fields. These fields are shown to produce interesting effects in…

Statistical Mechanics · Physics 2007-09-09 J. C. Gonzalez-Avella , V. M. Eguiluz , M. G. Cosenza , K. Klemm , J. L. Herrera , M. San Miguel

We introduce a new ferromagnetic model capable of reproducing one of the most intriguing properties of collective behaviour in starling flocks, namely the fact that strong collective order of the system coexists with scale-free correlations…

Statistical Mechanics · Physics 2019-09-18 Andrea Cavagna , Antonio Culla , Luca Di Carlo , Irene Giardina , Tomas S. Grigera

We experimentally observe many-body localization of interacting fermions in a one-dimensional quasi-random optical lattice. We identify the many-body localization transition through the relaxation dynamics of an initially-prepared charge…

This paper studies a stylized model of local interaction where agents choose from an ever increasing set of vertically ranked actions, e.g. technologies. The driving forces of the model are infrequent upward shifts (``updates''), followed…

Statistical Mechanics · Physics 2007-05-23 A. Arenas , A. Diaz-Guilera , C. J. Perez , F. Vega-Redondo

We investigate how localized inhomogeneity affects the geometry and stability of migratory bird formations. We use a lifting-line model with a horseshoe-vortex representation to describe the longitudinal dynamics of aerodynamic…

Pattern Formation and Solitons · Physics 2026-05-15 Jiang Hui , Nariya Uchida

Recent investigations have provided important insights into the complex structure and dynamics of collectively moving flocks of living organisms. Two intriguing observations are, scale-free correlations in the velocity fluctuations, in the…

Biological Physics · Physics 2022-03-22 Kunal Bhattacharya , Abhijit Chakraborty

Avian flocks display a wide variety of flight behaviors, including steady directed translation of center of mass, rapid change of overall morphology, re-shuffling of positions of individuals within a persistent form, etc. These behaviors…

Populations and Evolution · Quantitative Biology 2023-04-25 Udit Halder , Vidya Raju , Matteo Mischiati , Biswadip Dey , P. S. Krishnaprasad

We present the hydrodynamic theory of coherent collective motion ("flocking") at a solid-liquid interface, and many of its predictions for experiment. We find that such systems are stable, and have long-range orientational order, over a…

Soft Condensed Matter · Physics 2022-01-05 Niladri Sarkar , Abhik Basu , John Toner

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