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The emergence of synchronization in a network of coupled oscillators is a fascinating topic in various scientific disciplines. A coupled oscillator network is characterized by a population of heterogeneous oscillators and a graph describing…

Optimization and Control · Mathematics 2015-06-05 Florian Dörfler , Michael Chertkov , Francesco Bullo

The study of network synchronization has attracted increasing attention recently. In this paper, we strictly define a class of networks, namely effective networks, which are synchronizable and orientable networks. We can prove that all the…

Statistical Mechanics · Physics 2010-05-04 Tao Zhou , Ming Zhao , Changsong Zhou

We respond to comments in arXiv:2502.15817v2 about our article, arXiv:2412.12282. We stand by our conclusions and defend them against the criticisms.

High Energy Physics - Phenomenology · Physics 2026-02-27 T. C. Rogers , M. Radici , A. Courtoy , T. Rainaldi

This results in this paper have been merged with the result in arXiv:1003.0167. The authors would like to withdraw this version. Please see arXiv:1008.5356 for the merged version.

Data Structures and Algorithms · Computer Science 2010-09-07 Jian Li , Julián Mestre

In this note, the correction to the proof of one theorem in some our previous paper [arXiv:1302.0589] will be given.

Rings and Algebras · Mathematics 2020-02-18 Bui Xuan Hai

Comment: Monitoring Networked Applications With Incremental Quantile Estimation [arXiv:0708.0302]

Methodology · Statistics 2009-09-29 Bin Yu

Comment: Monitoring Networked Applications With Incremental Quantile Estimation [arXiv:0708.0302]

Methodology · Statistics 2009-09-29 Lorraine Denby , James M. Landwehr , Jean Meloche

Complex networks are frequently employed to model physical or virtual complex systems. When certain entities exist across multiple systems simultaneously, unveiling their corresponding relationships across the networks becomes crucial. This…

Physics and Society · Physics 2025-04-16 Rui Tang , Ziyun Yong , Shuyu Jiang , Xingshu Chen , Yaofang Liu , Yi-Cheng Zhang , Gui-Quan Sun , Wei Wang

A comment on a recent Letter by Baker and Kawashima (Phys. Rev. Lett. {\bf 75}, 994 (1995)).

Condensed Matter · Physics 2016-08-31 Jae-Kwon Kim

Today, complex networks have attracted increasing attention from various fields of science and engineering. It has been demonstrated that many complex networks display various synchronization phenomena. In this paper, we introduce a…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Jinhu Lu , Guanrong Chen

The conclusions presented in this Letter arXiv:cond-mat/0412591 rely on not converged calculations and should be considered with caution.

Biological Physics · Physics 2009-01-14 Michael Sanrey , Marc Joyeux

Rejoinder: Bayesian Checking of the Second Levels of Hierarchical Models [arXiv:0802.0743]

Methodology · Statistics 2008-02-08 M. J. Bayarri , M. E. Castellanos

This work describes how the formalization of complex network concepts in terms of discrete mathematics, especially mathematical morphology, allows a series of generalizations and important results ranging from new measurements of the…

Statistical Mechanics · Physics 2007-09-19 Luciano da Fontoura Costa , Luis Enrique C. da Rocha

This is a comment on the paper arXiv:1410.2840 by Ji and Jin, to appear in the AOAS.

Applications · Statistics 2016-08-25 Vishesh Karwa , Sonja Petrović

A revised version of the last appendix of the (previous) paper "Existence and Regularity for an Energy Maximization Problem in Two Dimensions" by S.Kamvissis and E.A.Rakhmanov, that appeared in the Journal of Mathematical Physics, v.46,…

Complex Variables · Mathematics 2015-05-13 Spyridon Kamvissis

The emergence of synchronization in a network of coupled oscillators is a pervasive topic in various scientific disciplines ranging from biology, physics, and chemistry to social networks and engineering applications. A coupled oscillator…

Optimization and Control · Mathematics 2012-09-07 Florian Dörfler , Francesco Bullo

To appear in Phys. Rev. Lett. together with the author's Reply.

Astrophysics · Physics 2008-11-26 J. I. Collar

We briefly remind references and arguments, already discussed in the past, which confute erroneous claims in arXiv:1210.5501.

This is a comment on two recent arXiv postings.

Mesoscale and Nanoscale Physics · Physics 2015-01-26 Supriyo Bandyopadhyay , Jayasimha Atulasimha

The paper investigates the synchronization of a network of identical linear state-space models under a possibly time-varying and directed interconnection structure. The main result is the construction of a dynamic output feedback coupling…

Optimization and Control · Mathematics 2008-05-23 Luca Scardovi , Rodolphe Sepulchre