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Cooperative systems are systems in which the forces among agents are non-repulsive. The free evolution of such systems can tend to the formation of patterns, such as consensus or clustering, depending on the properties and intensity of the…

最优化与控制 · 数学 2019-02-26 Benoît Bonnet , Francesco Rossi

Multi-Agent Reinforcement Learning involves agents that learn together in a shared environment, leading to emergent dynamics sensitive to initial conditions and parameter variations. A Dynamical Systems approach, which studies the evolution…

多智能体系统 · 计算机科学 2025-01-03 David Goll , Jobst Heitzig , Wolfram Barfuss

Data-based inference of directed interactions in complex dynamical systems is a problem common to many disciplines of science. In this work, we study networks of spatially separate dynamical entities, which could represent physical systems…

统计力学 · 物理学 2024-03-15 Tim Hempel , Sarah A. M. Loos

We consider a system of two bosonic modes each subject to the dynamics induced by a thermal Markovian environment and we identify instantaneous, local symplectic controls that minimise the loss of entanglement in the Gaussian regime. By…

量子物理 · 物理学 2018-12-12 Francesco Albarelli , Uther Shackerley-Bennett , Alessio Serafini

We study memory dependent binary-state dynamics, focusing on the noisy-voter model. This is a non-Markovian process if we consider the set of binary states of the population as the description variables, or Markovian if we incorporate…

物理与社会 · 物理学 2020-02-25 Antonio F. Peralta , Nagi Khalil , Raul Toral

We consider the behavior of a collective variable in a complex system formed by a finite number of interacting subunits. Each of them is characterized by a degree of freedom with an intrinsic nonlinear bistable stochastic dynamics. The lack…

统计力学 · 物理学 2017-03-16 M. Morillo , J. M. Casado

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…

适应与自组织系统 · 物理学 2024-05-15 Yuzuru Sato , Eizo Akiyama , James P. Crutchfield

Advances in experimental techniques allow the collection of high-resolution spatio-temporal data that track individual motile entities over time. These tracking data motivate the use of mathematical models to characterise the motion…

数据分析、统计与概率 · 物理学 2025-03-30 Arianna Ceccarelli , Alexander P. Browning , Ruth E. Baker

Learning reduced descriptions of chaotic many-body dynamics is fundamentally challenging: although microscopic equations are Markovian, collective observables exhibit strong memory and exponential sensitivity to initial conditions and…

计算物理 · 物理学 2026-01-28 Ho Jang , Gia-Wei Chern

Agent-based methods allow for defining simple rules that generate complex group behaviors. The governing rules of such models are typically set a priori and parameters are tuned from observed behavior trajectories. Instead of making…

机器学习 · 计算机科学 2022-06-14 Toryn L. J. Schafer , Christopher K. Wikle , Mevin B. Hooten

We consider a population of mobile agents able to make noisy observation of the environment and communicate their observation by production and comprehension of signals. Individuals try to align their movement direction with their…

统计力学 · 物理学 2020-10-28 Mohammad Salahshour , Shahin Rouhani

Collective motion is ubiquitous in nature; groups of animals, such as fish, birds, and ungulates appear to move as a whole, exhibiting a rich behavioral repertoire that ranges from directed movement to milling to disordered swarming.…

适应与自组织系统 · 物理学 2024-05-15 Conor Heins , Beren Millidge , Lancelot da Costa , Richard Mann , Karl Friston , Iain Couzin

The dynamics of local observables in a quantum many-body system can be formally described in the language of open systems. The problem is that the bath representing the complement of the local subsystem generally does not allow the common…

统计力学 · 物理学 2025-12-10 Michele Coppola , Mari Carmen Bañuls , Zala Lenarčič

Self-organization is frequently observed in active collectives, from ant rafts to molecular motor assemblies. General principles describing self-organization away from equilibrium have been challenging to identify. We offer a unifying…

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…

机器人学 · 计算机科学 2007-05-23 Kristina Lerman , Aram Galstyan , Tad Hogg

We present experiments on the collective dynamics of macroscopic photoactive self-propelled particles subjected to spatiotemporally varying excitation. The particles move within an arena divided into two regions with different illumination…

软凝聚态物质 · 物理学 2026-03-19 Sára Lévay , Axel Katona , Raúl Cruz Hidalgo , Iker Zuriguel

Immersive rooms are increasingly popular augmented reality systems that support multi-agent interactions within a virtual world. However, despite extensive content creation and technological developments, insights about perceptually-driven…

人机交互 · 计算机科学 2025-12-22 Jerry M. Huang , Stefan T. Radev

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…

多智能体系统 · 计算机科学 2022-05-31 Michael Amir , Noa Agmon , Alfred M. Bruckstein

By modeling the interaction of a system with an environment through a renewal approach, we demonstrate that completely positive non-Markovian dynamics may develop some unexplored non-standard statistical properties. The renewal approach is…

量子物理 · 物理学 2009-08-07 Adrian A. Budini Paolo Grigolini

The motion of pedestrian crowds (e.g. for simulation of an evacuation situation) can be modeled as a multi-body system of self driven particles with repulsive interaction. We use a few simple situations to determine the simplest allowed…

物理与社会 · 物理学 2009-12-04 B. Steffen