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Power system coherency refers to the phenomenon that machines in a power network exhibit similar frequency responses after disturbances, and is foundational for model reduction and control design. Despite abundant empirical observations,…

Systems and Control · Electrical Eng. & Systems 2025-11-11 Yixuan Liu , Yingzhu Liu , Pengcheng You

In wireless relay networks, noise at the relays can be correlated possibly due to common interference or noise propagation from preceding hops. In this work we consider a parallel relay network with noise correlation. For the relay strategy…

Information Theory · Computer Science 2007-07-13 Krishna S. Gomadam , Syed A. Jafar

Pattern formation and evolution in unsynchronizable complex networks are investigated. Due to the asymmetric topology, the synchronous patterns formed in complex networks are irregular and nonstationary. For coupling strength immediately…

Chaotic Dynamics · Physics 2007-05-23 Xingang Wang , Meng Zhan , Ghuguang Guan , Choy Heng Lai

This paper investigates output consensus in heterogeneous dynamical networks within a plug-and-play framework. The networks are interconnected through nonlinear diffusive couplings and operate in the presence of measurement and…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Yongkang Su , Sei Zhen Khong , Lanlan Su

We study the work fluctuations of a particle, confined to a moving harmonic potential, under the influence of friction and external Poissonian shot noise. The asymmetry of the noise induces an effective nonlinearity in the potential, which…

Statistical Mechanics · Physics 2009-11-13 A. Baule , E. G. D. Cohen

This note analyzes incoherent feedforward loops in signal processing and control. It studies the response properties of IFFL's to exponentially growing inputs, both for a standard version of the IFFL and for a variation in which the output…

Systems and Control · Computer Science 2016-02-02 Eduardo D. Sontag

Communication delays and multiplexing are ubiquitous features of real-world networked systems. We here introduce a simple model where these two features are simultaneously present, and report the rich phe- nomenology which is actually due…

Chaotic Dynamics · Physics 2017-04-19 Aradhana Singh , Sarika Jalan , Stefano Boccaletti

By introducing extrinsic noise as well as intrinsic uncertainty into a network with stochastic events, this paper studies the dynamics of the resulting Markov random network and characterizes a novel phenomenon of intermittent…

Dynamical Systems · Mathematics 2021-05-26 Arno Berger , Hong Qian , Shirou Wang , Yingfei Yi

We construct an analytical theory of interplay between synchronizing effects by common noise and by global coupling for a general class of smooth limit-cycle oscillators. Both the cases of attractive and repulsive coupling are considered.…

Adaptation and Self-Organizing Systems · Physics 2019-04-02 Denis S. Goldobin , Anastasiya V. Dolmatova

We study the effects of noise on a recently discovered form of intermittency, referred to as in-out intermittency. This type of intermittency, which reduces to on-off in systems with a skew product structure, has been found in the dynamics…

Chaotic Dynamics · Physics 2009-11-07 Peter Ashwin , Eurico Covas , Reza Tavakol

We review our recent work on the synchronization of a network of delay-coupled maps, focusing on the interplay of the network topology and the delay times that take into account the finite velocity of propagation of interactions. We assume…

Chaotic Dynamics · Physics 2009-11-13 Arturo C. Martí , Marcelo Ponce , Cristina Masoller

Cellular decision making is based on regulatory circuits that associate signal thresholds to specific physiological actions. This transmission of information is subjected to molecular noise what can decrease its fidelity. Here, we show…

Molecular Networks · Quantitative Biology 2017-02-08 Guillermo Rodrigo , Juan F. Poyatos

Using an exactly solvable cortical model of a neuronal network, we show that, by increasing the intensity of shot noise (flow of random spikes bombarding neurons), the network undergoes first- and second-order non-equilibrium phase…

Biological Physics · Physics 2015-08-26 K. -E. Lee , M. A. Lopes , A. V. Goltsev

Recently, the field of hardware neural networks has been actively developing, where neurons and their connections are not simulated on a computer but are implemented at the physical level, transforming the neural network into a tangible…

Neural and Evolutionary Computing · Computer Science 2026-01-14 Ivan Kolesnikov , Nadezhda Semenova

Bursting neurons are considered to be a potential cause of over-excitability and seizure susceptibility. The functional influence of these neurons in extended epileptic networks is still poorly understood. There is mounting evidence that…

Neurons and Cognition · Quantitative Biology 2016-10-07 Christian Geier , Alexander Rothkegel , Christian E. Elger , Klaus Lehnertz

The usual interpretation of noise is represented by a sum of many independent two-level elementary random signals with a distribution of relaxation times. In this paper it is demonstrated that also the superposition of many similar…

Data Analysis, Statistics and Probability · Physics 2007-08-24 Giovanni Zanella

Feed-forward multilayer neural networks implementing random input-output mappings develop characteristic correlations between the activity of their hidden nodes which are important for the understanding of the storage and generalization…

Condensed Matter · Physics 2009-10-28 Andreas Engel

We investigate how correlations between the diversity of the connectivity of networks and the dynamics at their nodes affect the macroscopic behavior. In particular, we study the synchronization transition of coupled stochastic phase…

Disordered Systems and Neural Networks · Physics 2013-01-22 Bernard Sonnenschein , Francesc Sagués , Lutz Schimansky-Geier

In this paper, the investigation is first motivated by showing two examples of simple regular symmetrical graphs, which have the same structural parameters, such as average distance, degree distribution and node betweenness centrality, but…

Combinatorics · Mathematics 2007-06-21 Zhisheng Duan , Guanrong Chen , Lin Huang

In signal integrity analysis, the joint effect of propagated noise through library cells, and of the noise injected on a quiet net by neighboring switching nets through coupling capacitances, must be considered in order to accurately…

Hardware Architecture · Computer Science 2011-11-09 Cristiano Forzan , Davide Pandini