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Adaptive synchronization protocols for heterogeneous multi-agent network are investigated. The interaction between each of the agents is carried out through a directed graph. We highlight the lack of communication between agents and the…

Systems and Control · Electrical Eng. & Systems 2020-10-07 Miguel F. Arevalo-Castiblanco , Duvan A. Tellez-Castro , Jorge Sofrony , Eduardo Mojica-Nava

A network of delay-coupled logistic maps exhibits two different synchronization regimes, depending on the distribution of the coupling delay times. When the delays are homogeneous throughout the network, the network synchronizes to a…

Adaptation and Self-Organizing Systems · Physics 2011-05-31 Cristina Masoller , Fatihcan M. Atay

The synchronization of rhythms is ubiquitous in both natural and engineered systems, and the demand for data-driven analysis is growing. When rhythms arise from limit cycles, phase reduction theory shows that their dynamics are universally…

Chaotic Dynamics · Physics 2026-02-20 Haruma Furukawa , Takashi Imai , Toshio Aoyagi

We propose a rationale for experimentally studying the intricate relationship between the rate of information transmission and synchronization level in active networks, applying theoretical results recently proposed. We consider two…

Chaotic Dynamics · Physics 2009-11-13 M. S. Baptista , S. P. Garcia , S. K. Dana , J. Kurths

We investigate the role of connection density in an adaptive network model of chaotic units that dynamically rewire based on their internal states and local coherence. By systematically varying the network's connectivity density, we uncover…

Adaptation and Self-Organizing Systems · Physics 2025-08-19 Ramiro Plüss , Pablo Martín Gleiser

We examine synchronization of identical chaotic systems coupled in a drive/response manner. A rigorous criterion is presented which, if satisfied, guarantees that synchronization to the driving trajectory is linearly stable to…

chao-dyn · Physics 2009-10-30 Reggie Brown , Nikolai F. Rulkov

Recently, it has been demonstrated that many large complex networks display a scale-free feature, that is, their connectivity distributions have the power-law form. In this paper, we investigate the synchronization phenomena in a scale-free…

Condensed Matter · Physics 2007-05-23 Xiao Fan Wang , Guanrong Chen

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 study systems of identical coupled oscillators introducing a distribution of delay times in the coupling. For arbitrary network topologies, we show that the frequency and stability of the fully synchronized states depend only on the mean…

Chaotic Dynamics · Physics 2016-07-04 Lucas Wetzel , Luis G. Morelli , Andrew C. Oates , Frank Julicher , Saul Ares

A network of chaotic systems can be designed in such a way that the cluster patterns formed by synchronous nodes can be controlled through the coupling parameters. We present a novel approach to exploit such a network for covert…

Information Theory · Computer Science 2023-12-11 Zekeriya Sarı , Serkan Günel

This paper investigates synchronization phenomena in networks of coupled oscillators governed by three-time-scale dynamical systems exhibiting canard dynamics. A mathematical framework has been developed to analyze the synchronization of…

Dynamical Systems · Mathematics 2025-05-28 Navojit Dhali Pallab

We consider complete synchronization of identical maps coupled through a general interaction function and in a general network topology where the edges may be directed and may carry both positive and negative weights. We define mixed…

Chaotic Dynamics · Physics 2009-09-15 Frank Bauer , Fatihcan M. Atay , Juergen Jost

In this paper, the transition of synchronizing path of delay-coupled chaotic oscillators in a scale-free network is highlighted. Mainly, through the critical transmission delay makes chaotic oscillators be coupled on the edge of stability,…

Physics and Society · Physics 2015-06-24 Zhao Zhuo , Shi-Min Cai , Zhong-Qian Fu

Adaptive dynamical networks appear in various real-word systems. One of the simplest phenomenological models for investigating basic properties of adaptive networks is the system of coupled phase oscillators with adaptive couplings. In this…

Adaptation and Self-Organizing Systems · Physics 2019-11-11 Rico Berner , Jan Fialkowski , Dmitry Kasatkin , Vladimir Nekorkin , Serhiy Yanchuk , Eckehard Schöll

Dynamical systems on networks with adaptive couplings appear naturally in real-world systems such as power grid networks, social networks as well as neuronal networks. We investigate a paradigmatic system of adaptively coupled phase…

Adaptation and Self-Organizing Systems · Physics 2019-12-20 Rico Berner , Eckehard Schöll , Serhiy Yanchuk

The stability of synchronised networked systems is a multi-faceted challenge for many natural and technological fields, from cardiac and neuronal tissue pacemakers to power grids. In the latter case, the ongoing transition to distributed…

Adaptation and Self-Organizing Systems · Physics 2018-11-29 Frank Hellmann , Paul Schultz , Patrycja Jaros , Roman Levchenko , Tomasz Kapitaniak , Jürgen Kurths , Yuri Maistrenko

We set up a signal-driven scheme of the chaotic neural network with the coupling constants corresponding to certain information, and investigate the stochastic resonance-like effects under its deterministic dynamics, comparing with the…

Chaotic Dynamics · Physics 2007-05-23 Haruhiko Nishimura , Naofumi Katada , Kazuyuki Aihara

Adaptive dynamical networks are ubiquitous in real-world systems. This paper aims to explore the synchronization dynamics in networks of adaptive oscillators based on a paradigmatic system of adaptively coupled phase oscillators. Our…

Adaptation and Self-Organizing Systems · Physics 2024-09-16 Mengke Wei , Andreas Amann , Oleksandr Burylko , Xiujing Han , Serhiy Yanchuk , Jürgen Kurths

In [1] a new adaptive phase-locked loop scheme for synchronization of a grid connected voltage source converter with guaranteed (almost) global stability properties was reported. To guarantee a suitable synchronization with the angle of the…

Systems and Control · Electrical Eng. & Systems 2024-08-13 Wei He , Jiachen Yan , Romeo Ortega , Daniele Zonetti

We investigate the synchronization dynamics in a chain of coupled chaotic maps organized in a single-parent family tree, whose properties can be captured considering each parent node connected to two children, one of which also serves as…

Chaotic Dynamics · Physics 2025-11-13 Franco Bagnoli , Michele Baia , Tommaso Matteuzzi , Arkady Pikovsky