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Synchronization processes in populations of locally interacting elements are in the focus of intense research in physical, biological, chemical, technological and social systems. The many efforts devoted to understand synchronization…

Physics and Society · Physics 2009-09-29 Alex Arenas , Albert Diaz-Guilera , Jurgen Kurths , Yamir Moreno , Changsong Zhou

We study coupled dynamics on networks using symbolic dynamics. The symbolic dynamics is defined by dividing the state space into a small number of regions (typically 2), and considering the relative frequencies of the transitions between…

Chaotic Dynamics · Physics 2009-11-11 Sarika Jalan , Juergen Jost , Fatihcan Atay

In this work, we investigate a model of an adaptive networked dynamical system, where the coupling strengths among phase oscillators coevolve with the phase states. It is shown that in this model the oscillators can spontaneously…

Disordered Systems and Neural Networks · Physics 2010-11-02 Menghui Li , Shuguang Guan , C. -H. Lai

In a large variety of systems (biological, physical, social etc.), synchronization occurs when different oscillating objects tune their rhythm when they interact with each other. The different underlying network defining the connectivity…

Adaptation and Self-Organizing Systems · Physics 2023-03-07 Juliette Courson , Thanos Manos , Mathias Quoy

A computer model is described which is used to assess the dynamical complexity of a class of networks of spiking neurons with small-world properties. Networks are constructed by forming an initially segregated set of highly intra-connected…

Biological Physics · Physics 2009-11-13 Murray Shanahan

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…

Chaotic Dynamics · Physics 2016-05-25 Mayurakshi Nag , Swarup Poria

Different collective behaviors emerging from the unknown have been examined in networks of mobile agents in recent years. Mobile systems, far from being limited to modeling and studying various natural and artificial systems in motion and…

Adaptation and Self-Organizing Systems · Physics 2025-06-25 Venceslas Nguefoue Meli , Thierry Njougouo , Steve J. Kongni , Patrick Louodop , Hilaire Bertrand Fotsin , Hilda A. Cerdeira

Complexity of dynamical networks can arise not only from the complexity of the topological structure but also from the time evolution of the topology. In this paper, we study the synchronous motion of coupled maps in time-varying complex…

Chaotic Dynamics · Physics 2008-12-16 Wenlian Lu , Fatihcan M. Atay , Jürgen Jost

We investigate complex synchronization patterns such as cluster synchronization and partial amplitude death in networks of coupled Stuart-Landau oscillators with fractal connectivities. The study of fractal or self-similar topology is…

Adaptation and Self-Organizing Systems · Physics 2017-02-08 Sanjukta Krishnagopal , Judith Lehnert , Winnie Poel , Anna Zakharova , Eckehard Schöll

In this article I investigate the novel synchronization behaviors of evolving pulse-coupled oscillator networks. Unlike previous models, the time-varying mechanism is inspired by neural network development, where seldom used links die out…

Chaotic Dynamics · Physics 2014-04-15 Yuanzhao Zhang

Chaotic systems can be synchronized by linking them to a common signal, subject to certain conditions. However, the presence of multiple driving signals coming from different systems, give rise to novel behavior. The particular case of…

chao-dyn · Physics 2007-05-23 Sitabhra Sinha

We investigate cluster synchronization in coupled map networks in the presence of heterogeneous delays. We find that while parity of heterogeneous delays plays a crucial role in determining the phenomenon of cluster formation, the…

Chaotic Dynamics · Physics 2014-12-02 Sarika Jalan , Aradhana Singh

We make a short review about the synchronization in coupled phase oscillator models. Next, we study the common-noise-induced synchronization among active rotators. At an intermediate noise strength, the noise-induced synchronization takes…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 Hidetsugu Sakaguchi

Synchronization manifests itself in oscillators adjusting their frequencies and phases with respect to an external signal or another oscillator. In the quantum case, new features appear such as destructive interferences that can result in…

Quantum Physics · Physics 2024-10-08 Tobias Kehrer , Tobias Nadolny , Christoph Bruder

We suggest an adaptive control scheme for the control of zero-lag and cluster synchronization in delay-coupled networks. Based on the speed-gradient method, our scheme adapts the topology of a network such that the target state is realized.…

Adaptation and Self-Organizing Systems · Physics 2016-08-10 Judith Lehnert , Philipp Hövel , Anton Selivanov , Alexander Fradkov , Eckehard Schöll

Synchronization processes play critical roles in the functionality of a wide range of both natural and man-made systems. Recent work in physics and neuroscience highlights the importance of higher-order interactions between dynamical units,…

Adaptation and Self-Organizing Systems · Physics 2021-08-03 Per Sebastian Skardal , Alex Arenas

Systems of oscillators whose internal phases and spatial dynamics are coupled, swarmalators, present diverse collective behaviors which in some cases lead to explosive synchronization in a finite population as a function of the coupling…

Adaptation and Self-Organizing Systems · Physics 2024-09-17 Steve J. Kongni , Thierry Njougouo , Patrick Louodop , Robert Tchitnga , Fernando F. Ferreira , Hilda A. Cerdeira

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

Experimental studies of synchronization properties on networks with controlled connection topology can provide powerful insights into the physics of complex networks. Here, we report experimental results on the influence of connection…

Chaotic Dynamics · Physics 2011-07-28 Bhargava Ravoori , Adam B. Cohen , Jie Sun , Adilson E. Motter , Thomas E. Murphy , Rajarshi Roy

Symmetries in a network regulate its organization into functional clustered states. Given a generic ensemble of nodes and a desirable cluster (or group of clusters), we exploit the direct connection between the elements of the eigenvector…

Adaptation and Self-Organizing Systems · Physics 2023-02-22 P. Khanra , S. Ghosh , D. Aleja , K. Alfaro-Bittner , G. Contreras-Aso , R. Criado , M. Romance , S. Boccaletti , P. Pal , C. Hens
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