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We consider performance deterioration of interconnected linear dynamical networks subject to exogenous stochastic disturbances. The focus of this paper is on first-order and second-order linear consensus networks. We employ the expected…

Optimization and Control · Mathematics 2014-12-19 Milad Siami , Nader Motee

Our current world is linked by a complex mesh of networks where information, people and goods flow. These networks are interdependent each other, and present structural and dynamical features different from those observed in isolated…

Physics and Society · Physics 2013-11-13 Filippo Radicchi , Alex Arenas

We study the impact of interaction of nodes in a layer of a multiplex network on the dynamical behavior and cluster synchronization of these nodes in other layers. We find that nodes interactions in one layer affects the cluster…

Chaotic Dynamics · Physics 2014-12-18 Sarika Jalan , Aradhana Singh

During the last decade, network approaches became a powerful tool to describe protein structure and dynamics. Here we review the links between disordered proteins and the associated networks, and describe the consequences of local,…

While operating communication networks adaptively may improve utilization and performance, frequent adjustments also introduce an algorithmic challenge: the re-optimization of traffic engineering solutions is time-consuming and may limit…

Networking and Internet Architecture · Computer Science 2023-12-19 Monika Henzinger , Ami Paz , Stefan Schmid

Synchronization dynamics is a phenomenon of great interest in many fields of science. One of the most important fields is neuron dynamics, as synchronization in certain regions of the brain is related to some of the most common mental…

Neurons and Cognition · Quantitative Biology 2025-04-09 J. Used , J. M. Seoane , I. Bashkirtseva , L. Ryashko , M. A. F. Sanjuán

Recent studies have shown that synchronizability of complex networks can be significantly improved by asymmetric couplings, and increase of coupling gradient is always in favor of network synchronization. Here we argue and demonstrate that,…

Adaptation and Self-Organizing Systems · Physics 2009-11-13 Xingang Wang , Ying-Cheng Lai , Cangtao Zhou , Choy Heng Lai

Dynamical patterns in complex networks of coupled oscillators are both of theoretical and practical interest, yet to fully reveal and understand the interplay between pattern emergence and network structure remains to be an outstanding…

Chaotic Dynamics · Physics 2017-04-03 Dongmei Song , Yafeng Wang , Xiang Gao , Shi-Xian Qu , Ying-Cheng Lai , Xingang Wang

We consider synchronization of coupled dynamical systems when different types of interactions are simultaneously present. We assume that a set of dynamical systems are coupled through the connections of two or more distinct networks (each…

Chaotic Dynamics · Physics 2015-05-28 Francesco Sorrentino

To perform cooperative tasks in a decentralized manner, multi-robot systems are often required to communicate with each other. Therefore, maintaining the communication graph connectivity is a fundamental issue when roaming a territory with…

Multiagent Systems · Computer Science 2014-12-02 Vinícius A. Battagello , Carlos H. C. Ribeiro

The classical notions of structural controllability and structural observability are receiving increasing attention in Network Science, since they provide a mathematical basis to answer how the network structure of a dynamic system affects…

Systems and Control · Computer Science 2018-12-13 Marco Tulio Angulo , Andrea Aparicio , Claude H. Moog

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…

Neurons and Cognition · Quantitative Biology 2020-11-11 R. C. Budzinski , K. L. Rossi , B. R. R. Boaretto , T. L. Prado , S. R. Lopes

Motivated by the abundance of directed synaptic couplings in a real biological neuronal network, we investigate the synchronization behavior of the Hodgkin-Huxley model in a directed network. We start from the standard model of the…

Quantitative Methods · Quantitative Biology 2007-05-23 Sung Min Park , Beom Jun Kim

Robustness of ecological flow networks under random failure of arcs is considered with respect to two different functionalities: coherence and circulation. In our previous work, we showed that each functionality is associated with a natural…

Populations and Evolution · Quantitative Biology 2013-06-27 Taichi Haruna

We study the dynamical behaviour of the collective field of chaotic systems on small world lattices. Coupled neuronal systems as well as coupled logistic maps are investigated. We observe that significant changes in dynamical properties…

Chaotic Dynamics · Physics 2007-05-23 Prashant M. Gade , Sudeshna Sinha

Sparse random networks contain structures that can be considered as diluted feed-forward networks. Modeling of cortical circuits has shown that feed-forward structures, if strongly pronounced compared to the embedding random network, enable…

Neurons and Cognition · Quantitative Biology 2013-08-16 Sven Jahnke , Marc Timme , Raoul-Martin Memmesheimer

Neuronal networks constitute a special class of dynamical systems, as they are formed by individual geometrical components, namely the neurons. In the existing literature, relatively little attention has been given to the influence of…

Neurons and Cognition · Quantitative Biology 2015-05-13 Sebastian Ahnert , Luciano da Fontoura Costa

Complex networks are the subject of fundamental interest from the scientific community at large. Several metrics have been introduced to characterize the structure of these networks, such as the degree distribution, degree correlation, path…

Physics and Society · Physics 2019-01-14 Francesco Sorrentino , Abu Bakar Siddique , Louis M. Pecora

The emergence of collective behaviors in networks of dynamical units in pairwise interaction has been explained as the effect of diffusive coupling. How does the presence of higher-order interaction impact the onset of spontaneous or…

Adaptation and Self-Organizing Systems · Physics 2023-10-05 Fabio Della Rossa , Davide Liuzza , Francesco Lo Iudice , Pietro De Lellis

In a sensor network, in practice, the communication among sensors is subject to:(1) errors or failures at random times; (3) costs; and(2) constraints since sensors and networks operate under scarce resources, such as power, data rate, or…

Information Theory · Computer Science 2009-11-13 Soummya Kar , Jose M. F. Moura
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