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This work introduces a methodology for studying synchronization in adaptive networks with heterogeneous plasticity (adaptation) rules. As a paradigmatic model, we consider a network of adaptively coupled phase oscillators with…

Dynamical Systems · Mathematics 2021-06-25 Rico Berner , Serhiy Yanchuk

Demographic oscillators are individual-based systems exhibiting temporal cycles sustained by the stochastic dynamics of the microscopic interacting particles. We here use the example of coupled predator-prey oscillators to show that…

Adaptation and Self-Organizing Systems · Physics 2008-11-26 Tobias Galla

In this paper, we investigate distributed multi-agent tracking of a convex set specified by multiple moving leaders with unmeasurable velocities. Various jointly-connected interaction topologies of the follower agents with uncertainties are…

Multiagent Systems · Computer Science 2015-03-19 Guodong Shi , Yiguang Hong , K. H. Johansson

The use of spikes to carry information between brain areas implies complete or partial synchronization of the neurons involved. The degree of synchronization reached by two coupled systems and the energy cost of maintaining their…

Chaotic Dynamics · Physics 2015-06-04 A. Moujahid , A. d'Anjou , F. J. Torrealdea

In this paper, we consider the output synchronization problem for a network of heterogeneous diffusively-coupled nonlinear agents. Specifically, we show how the (non-identical) agents can be controlled in such a way that their outputs…

Optimization and Control · Mathematics 2013-03-13 A. Isidori , L. Marconi , G. Casadei

We believe that agents for automated incident response based on machine learning need to handle changes in network structure. Computer networks are dynamic, and can naturally change in structure over time. Retraining agents for small…

Artificial Intelligence · Computer Science 2024-07-09 Jakob Nyberg , Pontus Johnson

We propose necessary and sufficient conditions for the synchronization of $N$ identical single-input-single-output (SISO) systems, connected through a directed graph {without imposing any assumption on the graph interconnection}. We…

Systems and Control · Electrical Eng. & Systems 2024-09-12 Nicola Zaupa , Giulia Giordano , Isabelle Queinnec , Sophie Tarbouriech , Luca Zaccarian

The paper addresses the synchronization of multi-agent systems with continuous-time dynamics interacting through a very general class of monotonic continuous signal functions that covers estimation biases, approximation of discrete…

Systems and Control · Electrical Eng. & Systems 2025-03-14 Anthony Couthures , Vineeth S. Varma , Samson Lasaulce , Irinel-Constantin Morarescu

In this paper, we discuss distributive synchronization of complex networks in finite time, with a single nonlinear pinning controller. The results apply to heterogeneous dynamic networks, too. Different from many models, which assume the…

Adaptation and Self-Organizing Systems · Physics 2021-05-25 Tianping Chen , Wenlian Lu , Xiwei lIu

In this article I investigate the novel synchronization behaviors of evolving pulse-coupled oscillator networks. Unlike previous models, the time-varying mechanism is inspired by neural network development, where seldom used links die out…

Chaotic Dynamics · Physics 2014-04-15 Yuanzhao Zhang

This paper addresses the positive synchronization of interconnected systems on undirected graphs. For homogeneous positive systems, a static feedback protocol design is proposed, based on the Linear Regulator problem. The solution to the…

Systems and Control · Electrical Eng. & Systems 2025-04-09 Alba Gurpegui , Mark Jeeninga , Emma Tegling , Anders Rantzer

In this paper, we consider a status updating system where the transmitter sends status updates of the signal it monitors to the destination through a rate-limited link. We consider the scenario where the status of the monitored signal only…

Information Theory · Computer Science 2020-03-03 Chenghao Deng , Jing Yang , Changyong Pan

Adaptive network is a powerful presentation to describe different real-world phenomena. However, current models often neglect higher-order interactions (beyond pairwise interactions) and diverse adaptation types (cooperative and…

Adaptation and Self-Organizing Systems · Physics 2025-01-24 S. Nirmala Jenifer , Dibakar Ghosh , Paulsamy Muruganandam

Reinforcement learning works best when the impact of the agent's actions on its environment can be perfectly simulated or fully appraised from available data. Some systems are however both hard to simulate and very sensitive to small…

Trading and Market Microstructure · Quantitative Finance 2025-01-30 Vincent Ragel , Damien Challet

The behavior of heterogeneous multi-agent systems is studied when the coupling matrices are possibly all different and/or singular, that is, its rank is less than the system dimension. Rank-deficient coupling allows exchange of limited…

Systems and Control · Computer Science 2021-09-21 Jin Gyu Lee , Hyungbo Shim

Perfect synchronicity in $N$-player games is a useful theoretical dream, but communication delays are inevitable and may result in asynchronous interactions. Some systems such as financial markets are asynchronous by design, and yet most…

Physics and Society · Physics 2015-05-13 Giancarlo Mosetti , Damien Challet , Sorin Solomon

This paper introduces a new approach for approximating the learning dynamics of multiple reinforcement learning (RL) agents interacting in a finite-state Markov game. The idea is to rescale the learning process by simultaneously reducing…

Machine Learning · Statistics 2025-06-27 Yann Kerzreho

Two oscillators coupled to a two-level system which in turn is coupled to an infinite number of oscillators (reservoir) are considered, bringing to light the occurrence of synchronization. A detailed analysis clarifies the physical…

Quantum Physics · Physics 2017-09-13 B. Militello , H. Nakazato , A. Napoli

In this paper, we propose an approach for modeling and analysis of a number of phenomena of collective behavior. By collectives we mean multi-agent systems that transition from one state to another at discrete moments of time. The behavior…

Social and Information Networks · Computer Science 2015-06-23 Stepan Kochemazov , Alexander Semenov

Synchronization in quantum systems has been recently studied through persistent oscillations of local observables, which stem from undamped modes of the dissipative dynamics. However, the existence of such modes requires fine-tuning the…

Quantum Physics · Physics 2025-10-14 Yi J. Zhao , Joel E. Moore , Juzar Thingna , Christopher W. Wächtler
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