20 papers · ranked by Valyu relevance
Christophe Letellier, Ludovico Minati, I. Sendiña–Nadal, I. Leyva
Generalized synchronization is plausibly the most complex form of synchronization. Previous studies have revealed the existence of weak or strong forms of generalized synchronization depending on the multi- or mono-valued nature of the mapping between the attractors of two unidirectionallycoupled systems. Generalized…
А. В. Макаренко
A new approach is proposed to the analysis of generalized synchronization of multidimensional chaotic systems. The approach is based on the symbolic analysis of discrete sequences in the basis of a finite T-alphabet. In fact, the symbols of the T-alphabet encode the shape (the geometric structure) of a trajectory of a…
Ernesto López Gómez, Keith E. Schubert, Khalil Dajani
We have previously (Gomez and Schubert (2011)) defined synchronization as a relation between the times at which a pair of events can happen, and introduced an algebra that covers all possible relations for such pairs. In this work we introduce the synchronization matrix, to make it easier to calculate the properties…
Judah Levine
In this study, I used standard statistical tools (such as the various forms of the two-sample Allan variance) to characterize the clocks in computers, and I show how the results of this study are used to design algorithms to synchronize the computer clocks. These synchronization algorithms can be used to synchronize…
Jie Zhou, Yong Zou, Shuguang Guan, Zonghua Liu + 1 more
Networks whose structure of connections evolves in time constitute a big challenge in the study of synchronization, in particular when the time scales for the evolution of the graph topology are comparable with (or even longer than) those pertinent to the units’ dynamics. We here focus on networks with a slow-switching…
Juan-Antonio Fernández-Madrigal, Angeles Navarro, Rafael Asenjo, Ana Cruz-Martín
'Ana Cruz-Martín'] Time synchronization among sensor devices connected through non-deterministic media is a fundamental requirement for sensor fusion and other distributed tasks that need a common time reference. In many of the time synchronization methods existing in literature, the estimation of the relation between…
А. А. Короновский, О. И. Москаленко, С. А. Шурыгина, Alexander E. Hramov
'Alexander E. Hramov'] In the present Letter we show that the concept of the generalized synchronization regime in discrete maps needs refining in the same way as it has been done for the flow systems [PRE, 84 (2011) 037201]. We have shown that, in the general case, when the relationship between state vectors of the…
Leandro Tavares Bruscato, Tales Heimfarth, Edison Pignaton de Freitas
With the emerging Internet of Things (IoT) technology becoming reality, a number of applications are being proposed. Several of these applications are highly dependent on wireless sensor networks (WSN) to acquire data from the surrounding environment. In order to be really useful for most of applications, the acquired…
Daniel M. Abrams, Louis M. Pecora, Adilson E. Motter
The study of synchronization of coupled systems is currently undergoing a major surge fueled by recent discoveries of new forms of collective dynamics and the development of techniques to characterize a myriad of new patterns of network synchronization. This includes chimera states, phenomena determined by symmetry…
L. V. Gambuzza, F. Di Patti, L. Gallo, S. Lepri + 5 more
Various systems in physics, biology, social sciences and engineering have been successfully modeled as networks of coupled dynamical systems, where the links describe pairwise interactions. This is, however, too strong a limitation, as recent studies have revealed that higher-order many-body interactions are present in…
Soheil Saghafi, Pejman Sanaei
Resonance and synchronized rhythm are important phenomena and can be either constructive or destructive in dynamical systems in the nature, specifically in biology. There are many examples showing that the human’s body organs must maintain their rhythm in order to function properly. For instance, in the brain…
James C. Pang, Leonardo L. Gollo, James A. Roberts
Synchronization is a collective mechanism by which oscillatory networks achieve their functions. Factors driving synchronization include the network’s topological and dynamical properties. However, how these factors drive the emergence of synchronization in the presence of potentially disruptive external inputs like…
Bazzi, Rida, Bickley, Cameron + 6 more
We present the -Synchronizer, which works in non-synchronous dynamic networks under minimal assumptions. Our model allows for arbitrary topological changes without any guarantee of eventual global or partial stabilization and assumes that nodes are anonymous. This deterministic synchronizer is the first that enables…
E. Lowet, M. J. Roberts, A. Peter, B. Gips + 1 more
Neural synchronization^1–5^ in the gamma-band (25-80Hz) can enhance and route information flow during sensory^6–8^ and cognitive processing^2,9–11^. However, it is not understood how synchronization between neural groups is robustly achieved and regulated despite of large variability in the precise oscillation…
Juan Du, Xiujuan Ma, Fuxiang Ma, Wenqian Yu
Hyper-networks tend to perform better in representing multivariate relationships among nodes. Yet, due to the complexity of the hyper-network structure, research in synchronization dynamics is rarely involved. In this paper, a Kuramoto model more suitable for k-uniform hyper-networks is proposed. And the generalized…
Seong Hyun Park, Jeremie Lefebvre
White matter pathways form a complex network of myelinated axons that regulate signal transmission in the nervous system and play a key role in behaviour and cognition. Recent evidence reveals that white matter networks are adaptive and that myelin remodels itself in an activity-dependent way, during both developmental…
Hüseyin Yiğitler, Behnam Badihi, Riku Jäntti
Internet of Things (IoT) is expected to change the everyday life of its users by enabling data exchanges among pervasive things through the Internet. Such a broad aim, however, puts prohibitive constraints on applications demanding time-synchronized operation for the chronological ordering of information or synchronous…
Ezekiel Williams, Aaron R. Shifman, John E. Lewis
Synchronization is a fundamental property of biological neural networks, playing a mechanistic role in both healthy and disease brain states. The medullary pacemaker nucleus of the weakly electric fish is a synchronized network of high-frequency neurons, weakly coupled via gap junctions. Synchrony in the pacemaker is…
Holger Finger, Richard Gast, Christian Gerloff, Andreas K. Engel + 1 more
Communication and dynamic routing play important roles in the human brain to facilitate flexibility in task solving and thought processes. Here, we present a new network perturbation methodology and a corresponding analysis method to investigate and demonstrate the dynamic switching between different excitable pathways…
Koichiro Uriu, Luis G. Morelli
Synchronization of mobile oscillators occurs in numerous contexts, including physical, chemical, biological and engineered systems. In vertebrate embryonic development, a segmental body structure is generated by a population of mobile oscillators. Cells in this population produce autonomous gene expression rhythms, and…