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We show how a variety of stable spatio-temporal periodic patterns can be created in 2D-lattices of coupled oscillators with non-homogeneous coupling delays. A "hybrid dispersion relation" is introduced, which allows studying the stability…

动力系统 · 数学 2017-10-31 Markus Kantner , Serhiy Yanchuk , Eckehard Schöll

We model the dynamics of the leaky integrate-fire neuron under periodic stimulation as a Markov process with respect to the stimulus phase. This avoids the unrealistic assumption of a stimulus reset after each spike made in earlier work and…

生物物理 · 物理学 2009-10-31 Hans E. Plesser , Theo Geisel

For a class of coupled limit cycle oscillators, we give a condition on a linear coupling operator that is necessary and sufficient for exponential stability of the synchronous solution. We show that with certain modifications our method of…

适应与自组织系统 · 物理学 2010-02-24 Georgi S. Medvedev

We analyze the phenomenon of nonlinear stochastic resonance (SR) in noisy bistable systems driven by pulsed time periodic forces. The driving force contains, within each period, two pulses of equal constant amplitude and duration but…

统计力学 · 物理学 2009-11-10 Jesús Casado-Pascual , José Gómez-Ordóñez , Manuel Morillo

We investigate the synchronization features of a network of spiking neurons under a distance-dependent coupling following a power-law model. The interplay between topology and coupling strength leads to the existence of different…

神经元与认知 · 定量生物学 2020-11-11 R. C. Budzinski , K. L. Rossi , B. R. R. Boaretto , T. L. Prado , S. R. Lopes

This paper studies regulated state synchronization of homogeneous networks of non-introspective agents in presence of unknown nonuniform input delays. A scale-free protocol is designed based on additional information exchange, which does…

系统与控制 · 电气工程与系统科学 2020-01-08 Zhenwei Liu , Donya Nojavanzadeh , Dmitri Saberi , Ali Saberi , Anton A. Stoorvogel

In this work we investigate time varying networks with complex dynamics at the nodes. We consider two scenarios of network change in an interval of time: first, we have the case where each link can change with probability pt, i.e. the…

适应与自组织系统 · 物理学 2014-04-14 Ankit Kumar , Vidit Agrawal , Sudeshna Sinha

The collective frequency that emerges from synchronized neuronal populations--the network resonance--shows a systematic relationship with brain size: whole-brain's large networks oscillate slowly, whereas finer parcellations of fixed volume…

神经元与认知 · 定量生物学 2026-03-04 Felipe A. Torres , Alejandro Weinstein , Jesus M. Cortes , Wael El-Deredy

We analyze stability of consensus algorithms in networks of multi-agents with time-varying topologies and delays. The topology and delays are modeled as induced by an adapted process and are rather general, including i.i.d.\ topology…

动力系统 · 数学 2011-06-07 Wenlian Lu , Fatihcan M. Atay , Jurgen Jost

The information of spiking neural networks (SNNs) are propagated between the adjacent biological neuron by spikes, which provides a computing paradigm with the promise of simulating the human brain. Recent studies have found that the time…

神经与进化计算 · 计算机科学 2022-05-05 Pengfei Sun , Longwei Zhu , Dick Botteldooren

Future wireless standards such as 5G envision dense wireless networks with large number of simultaneously connected devices. In this context, interference management becomes critical in achieving high spectral efficiency. Orthogonal…

信息论 · 计算机科学 2015-04-14 Subhashini Krishnasamy , Urs Niesen , Piyush Gupta

In the operation of networked control systems, where multiple processes share a resource-limited and time-varying cost-sensitive network, communication delay is inevitable and primarily influenced by, first, the control systems deploying…

系统与控制 · 电气工程与系统科学 2020-07-16 Mohammad H. Mamduhi , Dipankar Maity , Sandra Hirche , John S. Baras , Karl H. Johansson

Consensus algorithms on networks have received increasing attention in recent years for various applications ranging from animal flocking to multi-vehicle co-ordination. Building on the established model for second-order consensus of…

适应与自组织系统 · 物理学 2020-11-30 Fabian Baumann , Igor M. Sokolov , Melvyn Tyloo

Time lags are ubiquitous in biophysiological processes and more generally in real-world complex networks. It has been recently proposed to use information-theoretic tools such as transfer entropy to detect and estimate a possible delay in…

统计力学 · 物理学 2018-10-03 M. L. Rosinberg , G. Tarjus , T. Munakata

Negative serial correlations in single spike trains are an effective method to reduce the variability of spike counts. One of the factors contributing to the development of negative correlations between successive interspike intervals is…

神经元与认知 · 定量生物学 2011-10-04 Eugenio Urdapilleta

We study the throughput-vs-delay trade-off in an overlay multi-channel single-secondary-user cognitive radio system. Due to the limited sensing capabilities of the cognitive radio user, channels are sensed sequentially. Maximizing the…

信息论 · 计算机科学 2016-12-28 Ahmed Ewaisha , Cihan Tepedelenlioglu

The synchronization behavior of delay coupled chaotic smooth unimodal maps over a ring network with stochastic switching of links at every time step is reported in this paper. It is observed that spatiotemporal synchronization never appears…

混沌动力学 · 物理学 2016-05-25 Mayurakshi Nag , Swarup Poria

We study chaotic systems with multiple time delays that range over several orders of magnitude. We show that the spectrum of Lyapunov exponents (LE) in such systems possesses a hierarchical structure, with different parts scaling with the…

混沌动力学 · 物理学 2013-03-01 Otti D'Huys , Steffen Zeeb , Thomas Jüngling , Serhiy Yanchuk , Wolfgang Kinzel

Can noise be beneficial to machine-learning prediction of chaotic systems? Utilizing reservoir computers as a paradigm, we find that injecting noise to the training data can induce a stochastic resonance with significant benefits to both…

机器学习 · 计算机科学 2022-11-21 Zheng-Meng Zhai , Ling-Wei Kong , Ying-Cheng Lai

Motivated by applications in large-scale and multi-agent reinforcement learning, we study the non-asymptotic performance of stochastic approximation (SA) schemes with delayed updates under Markovian sampling. While the effect of delays has…