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This paper is concerned with the study of synchronization and consensus phenomena in complex networks of diffusively-coupled nodes subject to external disturbances. Specifically, we make use of stochastic Lyapunov functions to provide…

Systems and Control · Computer Science 2016-03-22 Giovanni Russo , Rovert Shorten

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

Spontaneous synchronization has long served as a paradigm for behavioral uniformity that can emerge from interactions in complex systems. When the interacting entities are identical and their coupling patterns are also identical, the…

Disordered Systems and Neural Networks · Physics 2016-12-30 Takashi Nishikawa , Adilson E. Motter

We investigate quantum synchronization phenomenon within the complex network constituted by coupled optomechanical systems and prove the unknown identical quantum states can be shared or distributed in the quantum network even though the…

Quantum Physics · Physics 2017-03-08 Wenlin Li , Chong Li , Heshan Song

We propose a simple and new unified method to achieve lag, complete and anticipatory synchronizations in coupled nonlinear systems. It can be considered as an alternative to the subsystem and intentional parameter mismatch methods. This…

Chaotic Dynamics · Physics 2016-04-20 K. Srinivasan , V. K Chandrasekar , R. Gladwin Pradeep , K. Murali , M. Lakshmanan

Synchronization of coupled oscillators is a fundamental process in both natural and artificial networks. While much work has investigated the asymptotic stability of the synchronous solution, the fundamental question of the transient…

Adaptation and Self-Organizing Systems · Physics 2024-10-22 Amirhossein Nazerian , Joseph D Hart , Matteo Lodi , Francesco Sorrentino

This paper investigates output consensus in heterogeneous dynamical networks within a plug-and-play framework. The networks are interconnected through nonlinear diffusive couplings and operate in the presence of measurement and…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Yongkang Su , Sei Zhen Khong , Lanlan Su

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

In this work, the synchronization problem of a master-slave system of autonomous ordinary differential equations (ODEs) is considered. Here, the systems are, chaotic with a nonlinearity represented by a piecewise linear function,…

Chaotic Dynamics · Physics 2021-12-16 J. Telenchana , A. Acosta , P. Garcia

We investigate the dynamics of an array of logistic maps coupled with random delay times. We report that for adequate coupling strength the array is able to synchronize, in spite of the random delays. Specifically, we find that the…

Chaotic Dynamics · Physics 2009-11-10 Cristina Masoller , Arturo C. Marti

The dynamics of coupled Stuart-Landau oscillators play a central role in the study of synchronization phenomena. Previous works have focused on linearly coupled oscillators in different configurations, such as all-to-all or generic complex…

Pattern Formation and Solitons · Physics 2026-03-30 Wilfried Segnou , Riccardo Muolo , Marie Dorchain , Hiroya Nakao , Timoteo Carletti

In this paper, we focus on the topic Synchronization and consensus of Complex Networks and their relationships. It is revealed that two topics are closely relating to each other and all results given in \cite{Li} can be obtained by the…

Adaptation and Self-Organizing Systems · Physics 2018-04-30 Tianping Chen

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

Over the past two decades, complex network theory provided the ideal framework for investigating the intimate relationships between the topological properties characterizing the wiring of connections among a system's unitary components and…

In this paper, we study cluster synchronization in networks of coupled non-identical dynamical systems. The vertices in the same cluster have the same dynamics of uncoupled node system but the uncoupled node systems in different clusters…

Dynamical Systems · Mathematics 2015-05-14 Wenlian Lu , Bo liu , Tianping Chen

The dynamics of power-grid networks is becoming an increasingly active area of research within the physics and network science communities. The results from such studies are typically insightful and illustrative, but are often based on…

Physics and Society · Physics 2021-09-24 Takashi Nishikawa , Adilson E. Motter

In this technical note we address the problem of achieving consensus in a network of homogeneous nonlinear systems. The communication network is supposed to be switching within a finite set of topologies which may be disconnected for finite…

Optimization and Control · Mathematics 2014-09-16 G. Casadei , L. Marconi , A. Isidori

This paper considers the cluster synchronization problem of generic linear dynamical systems whose system models are distinct in different clusters. These nonidentical linear models render control design and coupling conditions highly…

Systems and Control · Electrical Eng. & Systems 2021-11-05 Zhongchang Liu , Wing Shing Wong , Hui Cheng

We consider synchronization of chaotic systems coupled indirectly through a common environmnet where the environment has an intrinsic dynmics of its own modulated via feedback from the systems. We find that a rich vareity of synchronization…

Chaotic Dynamics · Physics 2010-05-05 V. Resmi , G. Ambika , R. E. Amritkar

Finding conditions that support synchronization is a fertile and active area of research with applications across multiple disciplines. Here we present and analyze a scheme for synchronizing chaotic dynamical systems by transiently…

Chaotic Dynamics · Physics 2015-08-27 Malte Schröder , Manu Mannattil , Debabrata Dutta , Sagar Chakraborty , Marc Timme
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