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Ensuring resilient consensus in multi-robot systems with misbehaving agents remains a challenge, as many existing network resilience properties are inherently combinatorial and globally defined. While previous works have proposed control…

Systems and Control · Electrical Eng. & Systems 2025-09-11 Haejoon Lee , Dimitra Panagou

We consider the dynamics of a population of organisms containing two mutually inhibitory gene regulatory networks, that can result in a bistable switch-like behaviour. We completely characterize their local and global dynamics in the…

Molecular Networks · Quantitative Biology 2016-10-07 Michael C. Mackey , Marta Tyran-Kaminska

In this paper, we study the continuous-time consensus problem in the presence of adversaries. The networked multi-agent system is modeled as a switched system, where the normal agents have integrator dynamics and the switching signal…

Systems and Control · Computer Science 2013-03-13 Heath J. LeBlanc , Haotian Zhang , Shreyas Sundaram , Xenofon Koutsoukos

We provide a technique to obtain provably optimal control sequences for quantum systems under the influence of time-correlated multiplicative control noise. Utilizing the circuit-level noise model introduced in [Phys. Rev. Research 3,…

This paper addresses analytical aspects of deterministic, continuous-time dynamical systems defined on networks. The goal is to model and analyze certain phenomena which must be framed beyond the context of networked dynamical systems,…

Dynamical Systems · Mathematics 2015-01-09 Ricardo Riaza

Classical approaches for asymptotic convergence to the global average in a distributed fashion typically assume timely and reliable exchange of information between neighboring components of a given multi-component system. These assumptions…

Multiagent Systems · Computer Science 2013-02-25 Christoforos N. Hadjicostis , Themistoklis Charalambous

The three-state majority-vote model with noise on Erdos-Renyi's random graphs has been studied. Using Monte Carlo simulations we obtain the phase diagram, along with the critical exponents. Exact results for limiting cases are presented,…

Statistical Mechanics · Physics 2013-02-21 Diogo F. F. Melo , Luiz F. C. Pereira , F. G. B. Moreira

We investigate the combined effects of distributed delay and the balance between excitatory and inhibitory nodes on the stability of synchronous oscillations in a network of coupled Stuart--Landau oscillators. To this end a network model is…

Adaptation and Self-Organizing Systems · Physics 2014-09-16 Carolin Wille , Judith Lehnert , Eckehard Schöll

We study the instabilities of a harmonic oscillator subject to additive and dichotomous multiplicative noise, focussing on the dependance of the instability threshold on the mass. For multiplicative noise in the damping, the instability…

Statistical Mechanics · Physics 2015-06-11 Moshe Gitterman , David A. Kessler

We study a minimal model of traffic flows in complex networks, simple enough to get analytical results, but with a very rich phenomenology, presenting continuous, discontinuous as well as hybrid phase transitions between a free-flow phase…

Statistical Mechanics · Physics 2015-05-13 Daniele De Martino , Luca Dall'Asta , Ginestra Bianconi , Matteo Marsili

We propose a simple model for a binary decision making process on a graph, motivated by modeling social decision making with cooperative individuals. The model is similar to a random field Ising model or fiber bundle model, but with key…

Physics and Society · Physics 2017-01-20 Andrew Lucas , Ching Hua Lee

This paper investigates coordination problems over packet-based communication channels. We consider the scenario in which the communication between network nodes is corrupted by unknown-but-bounded noise. We introduce a novel coordination…

Systems and Control · Computer Science 2018-08-14 Mingming Shi , Pietro Tesi , Claudio De Persis

The problem of remotely stabilizing a noisy linear time invariant plant over a Gaussian relay network is addressed. The network is comprised of a sensor node, a group of relay nodes and a remote controller. The sensor and the relay nodes…

Optimization and Control · Mathematics 2013-07-30 Ali A. Zaidi , Tobias J. Oechtering , Serdar Yuksel , Mikael Skoglund

We consider the multitasking associative network in the low-storage limit and we study its phase diagram with respect to the noise level $T$ and the degree $d$ of dilution in pattern entries. We find that the system is characterized by a…

Disordered Systems and Neural Networks · Physics 2013-04-17 Elena Agliari , Adriano Barra , Andrea Galluzzi , Marco Isopi

One of the major challenges in neuroscience is to determine how noise that is present at the molecular and cellular levels affects dynamics and information processing at the macroscopic level of synaptically coupled neuronal populations.…

Disordered Systems and Neural Networks · Physics 2014-06-12 Paul C. Bressloff , Jay M. Newby

Non-equilibrium critical phenomena generally exist in many dynamic systems, like chemical reactions and some driven-dissipative {reactive} particle systems. Here, by using computer simulation and theoretical analysis, we demonstrate the…

Soft Condensed Matter · Physics 2021-05-26 Qun-Li Lei , Hao Hu , Ran Ni

We consider \emph{plurality consensus} in a network of $n$ nodes. Initially, each node has one of $k$ opinions. The nodes execute a (randomized) distributed protocol to agree on the plurality opinion (the opinion initially supported by the…

Data Structures and Algorithms · Computer Science 2016-02-04 Petra Berenbrink , Tom Friedetzky , Peter Kling , Frederik Mallmann-Trenn , Chris Wastell

We investigate the consensus problem in a network where nodes communicate via diffusion-based molecular communication (DbMC). In DbMC, messages are conveyed via the variation in the concentration of molecules in the medium. Every node…

Information Theory · Computer Science 2011-03-03 Arash Einolghozati , Mohsen Sardari , Ahmad Beirami , Faramarz Fekri

We consider a stable open queuing network as a steady non-equilibrium system of interacting particles. The network is completely specified by its underlying graphical structure, type of interaction at each node, and the Markovian transition…

Statistical Mechanics · Physics 2015-05-18 Vladimir Y. Chernyak , Michael Chertkov , David A. Goldberg , Konstantin Turitsyn

Admission control can be employed to avoid congestion in queueing networks subject to overload. In distributed networks the admission decisions are often based on imperfect measurements on the network state. This paper studies how the lack…

Probability · Mathematics 2007-08-22 Lasse Leskelä