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We present the first report on inverse chaos synchronization between bi-directionally non-linearly and linearly coupled variable multiple time delay Ikeda systems. The results are of certain importance in secure chaos-based communication…

混沌动力学 · 物理学 2010-06-29 Elman Shahverdiev

We investigate synchronization between two unidirectionally coupled chaotic multi-feedback Ikeda systems and find both the existence and stability conditions for anticipating, lag, and complete synchronizations.Generalization of the…

混沌动力学 · 物理学 2009-11-10 E. M. Shahverdiev

A unified framework for analyzing generalized synchronization in coupled chaotic systems from data is proposed. The key of the proposed approach is the use of the kernel methods recently developed in the field of machine learning. Several…

混沌动力学 · 物理学 2009-11-11 Hiromichi Suetani , Yukito Iba , Kazuyuki Aihara

In this paper, an electronic circuit implementation of a robustly chaotic two-dimensional map is presented. Two such electronic circuits are realized. One of the circuits is configured as the driver and the other circuit is configured as…

混沌动力学 · 物理学 2015-06-05 Ravi Ranjan , Shivshankar Mishra , Suneel Madhekar

We investigate chaos synchronization between Josephson junctions coupled uni-directionally with time-delay. We demonstrate the possibility of high quality synchronization with numerical simulations of such systems. The results are of…

混沌动力学 · 物理学 2015-06-09 E. M. Shahverdiev , L. H. Hashimova , P. A. Bayramov , R. A. Nuriev

We consider synchronization of coupled chaotic systems and propose an adaptive strategy that aims at evolving the strength of the coupling to achieve stability of the synchronized evolution. We test this idea in a simple configuration in…

其他凝聚态物理 · 物理学 2015-05-14 Francesco Sorrentino

Synchronization dynamics of mutually coupled chaotic semiconductor lasers are investigated experimentally and compared to identical synchronization of unidirectionally coupled lasers. Mutual coupling shows high quality synchronization in a…

混沌动力学 · 物理学 2009-11-11 Noam Gross , Wolfgang Kinzel , Ido Kanter , Michael Rosenbluh , Lev Khaykovich

We study the mutual coupling of chaotic lasers and observe both experimentally and in numeric simulations, that there exists a regime of parameters for which two mutually coupled chaotic lasers establish isochronal synchronization, while a…

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…

混沌动力学 · 物理学 2016-04-20 K. Srinivasan , V. K Chandrasekar , R. Gladwin Pradeep , K. Murali , M. Lakshmanan

This work presents the hardware demonstrator of a secure encryption system based on synchronised Chua chaotic circuits. In particular, the presented encryption system comprises two Chua circuits that are synchronised using a dedicated…

The chaotic synchronization of two electron-wave media with interacting backward waves and cubic phase nonlinearity is investigated in the paper. To detect the chaotic synchronization regime we use a new approach, the so-called time scale…

混沌动力学 · 物理学 2007-05-23 Alexander E. Hramov , Alexey A. Koronovskii , Pavel V. Popov , Irene S. Rempen

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…

混沌动力学 · 物理学 2013-02-19 Olga Moskalenko , Alexey A. Koronovskii , Alexander E. Hramov

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…

混沌动力学 · 物理学 2016-08-16 Iacyel Gomes Da Silva , Javier M. Buldú , Claudio R. Mirasso , Jordi García-Ojalvo

A general explicit coupling for mutual synchronization of two arbitrary identical continuous systems is proposed. The synchronization is proved analytically. The coupling is given for all 19 systems from Sprott's collection. For one of the…

混沌动力学 · 物理学 2009-11-11 A. I. Lerescu , S. Oancea , I. Grosu

This paper describes the security weaknesses of a recently proposed secure communication method based on chaotic masking using projective synchronization of two chaotic systems. We show that the system is insecure and how to break it in two…

混沌动力学 · 物理学 2007-10-23 Gonzalo Alvarez , Shujun Li , F. Montoya , M. Romera , G. Pastor

New chaos-based communication schemes for transmission of analog and digital information are suggested. The carrier signal is produced by chaotic generator having well-defined oscillation phases at least on short time intervals. For data…

混沌动力学 · 物理学 2017-08-10 Olga B. Isaeva , Alexey Yu. Jalnine , Sergey P. Kuznetsov

"Synchronization of two dynamical systems" is the term used to describe the phenomenon when two or more systems gradually change their states or behaviors to become similar or identical. This can happen in a lot of fields, such as physics,…

最优化与控制 · 数学 2026-03-24 Vivek Mishra , S. K. Agrawal

The synchronization transition between two coupled replicas of spatio-temporal chaotic systems in 2+1 dimensions is studied as a phase transition into an absorbing state - the synchronized state. Confirming the scenario drawn in 1+1…

统计力学 · 物理学 2010-07-14 F. Ginelli , M. Cencini , A. Torcini

This paper provides a unified method for analyzing chaos synchronization of the generalized Lorenz systems. The considered synchronization scheme consists of identical master and slave generalized Lorenz systems coupled by linear state…

混沌动力学 · 物理学 2008-07-15 Xiaofeng Wu , Guanrong Chen , Jianping Cai

We present the first report on inverse chaos synchronization where a driven modulated multiple time-delay chaotic system synchronizes to the inverse state of the driver system. Numerical simulations fully support the analytical approach.

混沌动力学 · 物理学 2010-07-06 E. M. Shahverdiev