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We investigate synchronization in the presence of delay time modulation for application to communication. We have observed that the robust synchronization is established by a common delay signal and its threshold is presented using Lyapunov…

Chaotic Dynamics · Physics 2009-11-10 Won-Ho Kye , Muhan Choi , Myung-Woon Kim , Soo-Young Lee , Sunghwan Rim , Chil-Min Kim , Young-Jai Park

In this paper, we address the problem of simultaneous classification and estimation of hidden parameters in a sensor network with communications constraints. In particular, we consider a network of noisy sensors which measure a common…

Multiagent Systems · Computer Science 2012-06-19 Fabio Fagnani , Sophie M. Fosson , Chiara Ravazzi

In this paper, we consider the problem of detecting signals in multiple, sequentially observed data streams. For each stream, the exact distribution is unknown, but characterized by a parameter that takes values in either of two disjoint…

Methodology · Statistics 2025-07-30 Yiming Xing , Anamitra Chaudhuri , Yifan Chen

Many real-world complex systems rely on cluster synchronization to function properly. A cluster of nodes exhibits synchronous behavior while others behave erratically. Predicting the emergence of these clusters and understanding the…

Adaptation and Self-Organizing Systems · Physics 2023-09-19 Rodrigo M. Corder , Zheng Bian , Tiago Pereira , Antonio Montalban

Changes in parameters of a physical device can eventually lead to catastrophic failure. This paper discusses a parameter estimation method based on synchronization between a model and time series data. In particular, we examine the…

chao-dyn · Physics 2007-05-23 Justin Goodwin , Reggie Brown , Lutz Junge

We study the constructive role of noises in a Lorenz system with functional delay. The effect of delay can change the dynamics of the system to a chaotic one from its steady state. Induced synchronization with white and colored (red and…

Chaotic Dynamics · Physics 2017-07-19 Soumen Majhi , Bidesh K. Bera , Santo Banerjee , Dibakar Ghosh

The extension of the master stability function (MSF) to analyze stability of generalized synchronization for coupled nearly identical oscillators is discussed. The nearly identical nature of the coupled oscillators comes from some parameter…

Chaotic Dynamics · Physics 2015-06-22 Suman Acharyya , R. E. Amritkar

We investigate the synchronization between two neurons using the stochastic version of the map-based Chialvo model. To simulate non-identical neurons, a mismatch is introduced in one of the main parameters of the model. Subsequently, the…

Chaotic Dynamics · Physics 2024-04-12 Javier Used , Jesús Seoane , Irina Bashkirtseva , Lev Ryashko , Miguel A. F. Sanjuan

We study the synchronized interval in undirected and unweighted random networks of coupled oscillators as a function of the number of edges. In many coupled oscillator systems, synchronization is stable in a finite interval of coupling…

Chaotic Dynamics · Physics 2017-11-07 Suman Acharyya

A new method for secure information transmission based on generalized synchronization is proposed. The principal advantage of it is a remarkable stability to noise. To reveal this peculiarity of the proposed method the effectiveness of the…

Chaotic Dynamics · Physics 2013-02-19 Olga Moskalenko , Alexey A. Koronovskii , Alexander E. Hramov

In this paper, we study synchronization in the delayed discrete-time complex networks. Several criterions of synchronization stability for such networks are established. And illustrative examples are presented. The numerical simulations…

Chaotic Dynamics · Physics 2007-05-23 Weigang Sun , Changpin Li , Zhengping Fan

We explore the behaviour of chaotic oscillators in hierarchical networks coupled to an external chaotic system whose intrinsic dynamics is dissimilar to the other oscillators in the network. Specifically, each oscillator couples to the…

Chaotic Dynamics · Physics 2019-05-22 Sudhanshu Shekhar Chaurasia , Sudeshna Sinha

The interactions between the components of many real-world systems are best modelled by networks with multiple layers. Different theories have been proposed to explain how multilayered connections affect the linear stability of…

Physics and Society · Physics 2022-03-25 Charo I. del Genio , Sergio Faci-Lázaro , Jesús Gómez-Gardeñes , Stefano Boccaletti

A network of noisy bistable elements with global time-delayed couplings is considered. A dichotomous mean field model has recently been developed describing the collective dynamics in such systems with uniform time delays near the…

Statistical Mechanics · Physics 2007-05-23 Daniel Huber , Lev Tsimring

We adapt a previous model and analysis method (the {\it master stability function}), extensively used for studying the stability of the synchronous state of networks of identical chaotic oscillators, to the case of oscillators that are…

Chaotic Dynamics · Physics 2009-11-10 Juan G. Restrepo , Edward Ott , Brian R. Hunt

We analyze the synchronization transition for a pair of coupled identical Kauffman networks in the chaotic phase. The annealed model for Kauffman networks shows that synchronization appears through a transcritical bifurcation, and provides…

Adaptation and Self-Organizing Systems · Physics 2009-10-31 Luis G. Morelli , Damian H. Zanette

Group synchronization arises when two or more synchronization patterns coexist in a network formed of oscillators of different types, with the systems in each group synchronizing on the same time-evolution, but systems in different groups…

Chaotic Dynamics · Physics 2021-12-21 Shirin Panahi , Francesco Sorrentino

Synchronization is the process of achieving identical dynamics among coupled identical units. If the units are different from each other, their dynamics cannot become identical; yet, after transients, there may emerge a functional…

Chaotic Dynamics · Physics 2016-11-09 Aditya Tandon , Malte Schröder , Manu Mannattil , Marc Timme , Sagar Chakraborty

We experimentally study the synchronization of two chaotic electronic circuits whose dynamics is relayed by a third parameter-matched circuit, to which they are coupled bidirectionally in a linear chain configuration. In a wide range of…

Chaotic Dynamics · Physics 2016-08-16 Iacyel Gomes Da Silva , Javier M. Buldú , Claudio R. Mirasso , Jordi García-Ojalvo

A sufficiently connected topology linking the constituent units of a complex system is usually seen as a prerequisite for the emergence of collective phenomena such as synchronization. We present a random network of heterogeneous phase…

Chaotic Dynamics · Physics 2018-11-26 Marco Faggian , Francesco Ginelli , Fernando Rosas , Zoran Levnajić
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