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Chaos synchronization in one of charge-carrier dynamical systems in photoconductors is studied within both the replica and nonreplica approaches.It has been shown that using the boundedness of the solutions of the dynamical systems,…

Condensed Matter · Physics 2007-05-23 Shahverdiev E. M

We propose a method for controlling synchronization patterns of limit-cycle oscillators by common noisy inputs, i.e., by utilizing noise-induced synchronization. Various synchronization patterns, including fully synchronized and clustered…

Adaptation and Self-Organizing Systems · Physics 2015-02-18 Wataru Kurebayashi , Tsubasa Ishii , Mikio Hasegawa , Hiroya Nakao

In this paper we investigate dual synchronization and dual-cross synchronization between the transmitter and receiver, each one consisting of two master and slave systems. These findings are considered to be of interest in multichannel…

Chaotic Dynamics · Physics 2007-05-23 E. M. Shahverdiev , K. A. Shore

In this work a robust exponential function based controller is designed to synchronize effectively a given class of Chua's chaotic systems. The stability of the drive-response systems framework is proved through the Lyapunov stability…

A linear output feedback control scheme is developed for a coupled map lattice system. H-infinity control theory is used to make the scheme local: both the collection of information and the feedback are implemented through an array of…

chao-dyn · Physics 2007-05-23 Roman O. Grigoriev , Sanjay G. Lall , Geir E. Dullerud

We present the linear-stability analysis of synchronised states in coupled time-delay systems. There exists a synchronisation threshold, for which we derive upper bounds, which does not depend on the delay time. We prove that at least for…

chao-dyn · Physics 2009-10-31 Martin J. Bünner , Wolfram Just

A new method based on the phenomenon of synchronization and the properties of chaos is proposed to reduce interference in the transferred chaotic signals of synchronized systems. In this paper, the interference is considered as a series of…

Mathematical Physics · Physics 2011-09-27 Yang Nan , Long Zhang-Cai , Zhao Xiang-Hui

For linear networks, where the coupling between the agents takes place through periodic impulses, a simple method is proposed for synchronization. It is shown that closing the loop by (normalized) deadbeat feedback gain produces synchronous…

Optimization and Control · Mathematics 2023-08-22 S. Emre Tuna

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…

Chaotic Dynamics · Physics 2015-07-19 A. V. Makarenko

In this work we consider two models of two dimensional discrete systems subjected to three different types of coupling and analyse systematically the performance of each in realising synchronised states.We find that linear coupling…

Chaotic Dynamics · Physics 2009-11-11 G Ambika , K Ambika

The influence of noise on the generalized synchronization regime in the chaotic systems with dissipative coupling is considered. If attractors of the drive and response systems have an infinitely large basin of attraction, generalized…

We introduce a novel concept of generalized synchronization, able to encompass the setting of collective synchronized behavior for mutually coupled systems and networking systems featuring complex topologies in their connections. The onset…

Chaotic Dynamics · Physics 2013-02-19 Olga Moskalenko , Alexey Koronovskii , Alexander Hramov , Stefano Boccaletti

This work deals with chaos suppression based on average of the rounded modes to negative and positive infinite. The present procedure acts to reduce the rounding errors. It was observed that when the method proposed in this paper is applied…

Signal Processing · Electrical Eng. & Systems 2017-11-28 Melanie R. Silva , Erivelton G. Nepomuceno , Samir A. M. Martins

The introduction of unexpected system disturbances and new system dynamics does not allow guaranteed continuous system stability. In this research we present a novel approach for detecting early failure indicators of non-linear highly…

Systems and Control · Electrical Eng. & Systems 2021-11-02 Amr Mahmoud , Youmna Ismaeil , Mohamed Zohdy

We experimentally study the synchronization of chaos generated by semiconductor lasers in a cascade injection configuration, i.e., a tunable master laser is used to generate chaos by optical injection in a transmitter laser that injects…

Optics · Physics 2024-05-08 Jules Mercadier , Yaya Doumbia , Stefan Bittner , Marc Sciamanna

We study Lyapunov vectors (LVs) corresponding to the largest Lyapunov exponents in systems with spatiotemporal chaos. We focus on characteristic LVs and compare the results with backward LVs obtained via successive Gram-Schmidt…

Chaotic Dynamics · Physics 2008-08-05 Diego Pazó , Ivan G. Szendro , Juan M. López , Miguel A. Rodríguez

The problem of projective synchronization(ps) and control are studied in modified unified chaotic system which possess partially linearity property. The desired ratio factor of corresponding subsystem variable could be obtained by state…

Chaotic Dynamics · Physics 2007-05-23 Liang Feng , Xiang Jinglin , Chen Shaohua , Shi Jie

Low-dimensional chaotic systems such as the Lorenz-63 model are commonly used to benchmark system-agnostic methods for learning dynamics from data. Here we show that learning from noise-free observations in such systems can be achieved up…

Chaotic Dynamics · Physics 2025-07-15 Christof Schötz , Niklas Boers

Synchronization of chaos arises between coupled dynamical systems and is very well understood as a temporal phenomena which leads the coupled systems to converge or develop a dependence with time. In this work, we provide a complementary…

Dynamical Systems · Mathematics 2019-10-23 Aditi Kathpalia , Nithin Nagaraj

Generalized chaotic synchronization regime is observed in the unidirectionally coupled one-dimensional Ginzburg-Landau equations. The mechanism resulting in the generalized synchronization regime arising in the coupled spatially extended…

Chaotic Dynamics · Physics 2007-05-23 Alexander E. Hramov , Alexey A. Koronovskii , Pavel V. Popov
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