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Dynamical systems with complex delayed interactions arise commonly when propagation times are significant, yielding complicated oscillatory instabilities. In this Letter, we introduce a class of systems with multiple, hierarchically long…

Pattern Formation and Solitons · Physics 2015-06-19 Serhiy Yanchuk , Giovanni Giacomelli

This paper addresses the challenge of network synchronization under limited communication, involving heterogeneous agents with different dynamics and various network topologies, to achieve consensus. We investigate the distributed adaptive…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Moh. Kamalul Wafi , Milad Siami

Explaining the wide range of dynamics observed in ecological communities is challenging due to the large number of species involved, the complex network of interactions among them, and the influence of multiple environmental variables.…

Populations and Evolution · Quantitative Biology 2025-03-28 Francesco Ferraro , Christian Grilletta , Emanuele Pigani , Samir Suweis , Sandro Azaele , Amos Maritan

The network paradigm is used to gain insight into the structural root causes of the resilience of consensus in dynamic collective behaviors, and to analyze the controllability of the swarm dynamics. Here we devise the dynamic signaling…

Physics and Society · Physics 2014-01-14 Mohammad Komareji , Roland Bouffanais

This paper studies the effects of a time-delayed feedback control on the appearance and development of spatiotemporal patterns in a reaction-diffusion system. Different types of control schemes are investigated, including single-species,…

Chaotic Dynamics · Physics 2012-09-21 Y. N. Kyrychko , K. B. Blyuss , S. J. Hogan , E. Schoell

Classical distributed estimation scenarios typically assume timely and reliable exchanges of information over the sensor network. This paper, in contrast, considers single time-scale distributed estimation via a sensor network subject to…

Systems and Control · Electrical Eng. & Systems 2021-09-08 Mohammadreza Doostmohammadian , Usman A. Khan , Mohammad Pirani , Themistoklis Charalambous

Understanding how local perturbations induce the transient dynamics of a network of coupled units is essential to control and operate such systems. Often a perturbation initiated in one unit spreads to other units whose dynamical state they…

Physics and Society · Physics 2021-06-02 Malte Schröder , Xiaozhu Zhang , Justine Wolter , Marc Timme

We investigate the statistics of single-mode delay times of waves reflected from a disordered waveguide in the presence of wave localization. The distribution of delay times is qualitatively different from the distribution in the diffusive…

Disordered Systems and Neural Networks · Physics 2007-05-23 H. Schomerus , K. J. H. van Bemmel , C. W. J. Beenakker

The behaviour of many real-world phenomena can be modelled by nonlinear dynamical systems whereby a latent system state is observed through a filter. We are interested in interacting subsystems of this form, which we model by a set of…

Machine Learning · Computer Science 2017-02-20 Oliver M. Cliff , Mikhail Prokopenko , Robert Fitch

We study impact of multiplexing on the global phase synchronizability of different layers in the delayed coupled multiplex networks. We find that at strong couplings, the multiplexing induces the global synchronization in sparse networks.…

Chaotic Dynamics · Physics 2016-05-03 Aradhana Singh , Saptarshi Ghosh , Sarika Jalan , Jürgen Kurths

We compare asynchronous vs. synchronous update of discrete dynamical networks and find that a simple time delay in the nodes may induce a reproducible deterministic dynamics even in the case of asynchronous update in random order. In…

Molecular Networks · Quantitative Biology 2007-05-23 Konstantin Klemm , Stefan Bornholdt

We consider the patterns of collective motion emerging when many aligning, self-propelling units move in two dimensions while interacting through a repulsive potential and are also subject to delays and random perturbations. In this…

Soft Condensed Matter · Physics 2023-11-14 Fatemeh Pakpour , Tamás Vicsek

Neurons are connected to other neurons by axons and dendrites that conduct signals with finite velocities, resulting in delays between the firing of a neuron and the arrival of the resultant impulse at other neurons. Since delays greatly…

Neurons and Cognition · Quantitative Biology 2021-08-25 Akke Mats Houben

Distributed decision making in multi-agent networks has recently attracted significant research attention thanks to its wide applicability, e.g. in the management and optimization of computer networks, power systems, robotic teams, sensor…

Optimization and Control · Mathematics 2018-11-13 Carlo Cenedese , Yu Kawano , Sergio Grammatico , Ming Cao

A great deal of effort has gone into trying to model social influence --- including the spread of behavior, norms, and ideas --- on networks. Most models of social influence tend to assume that individuals react to changes in the states of…

Physics and Society · Physics 2018-04-04 Se-Wook Oh , Mason A. Porter

The influence of time delay in systems of two coupled excitable neurons is studied in the framework of the FitzHugh-Nagumo model. Time-delay can occur in the coupling between neurons or in a self-feedback loop. The stochastic…

Pattern Formation and Solitons · Physics 2009-11-13 E. Schoell , G. Hiller , P. Hoevel , M. A. Dahlem

We study asynchronous distributed decision-making for scalable multi-agent bandit submodular maximization. We are motivated by distributed information-gathering tasks in unknown environments and under heterogeneous inter-agent communication…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Pranjal Sharma , Zirui Xu , Vasileios Tzoumas

We have studied the soliton propagation through a segment containing random point-like scatterers. In the limit of small concentration of scatterers when the mean distance between the scatterers is larger than the soliton width, a method…

This paper studies the effects of distributed delay coupling on the dynamics in a system of non-identical coupled Stuart-Landau oscillators. For uniform and gamma delay distribution kernels, conditions for amplitude death are obtained in…

Chaotic Dynamics · Physics 2013-11-22 Y. N. Kyrychko , K. B. Blyuss , E. Schoell

The chimera state with co-existing coherent-incoherent dynamics has recently attracted a lot of attention due to its wide applicability. We investigate non-locally coupled identical chaotic maps with delayed interactions in the multiplex…

Chaotic Dynamics · Physics 2017-04-19 Saptarshi Ghosh , Anil Kumar , Anna Zakharova , Sarika Jalan