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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

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…

Chaotic Dynamics · Physics 2009-11-11 Noam Gross , Wolfgang Kinzel , Ido Kanter , Michael Rosenbluh , Lev Khaykovich

In this paper, an adaptive backstepping controller has been tuned to synchronize two chaotic Colpitts oscillators in a master slave configuration. The parameters of the controller are determined using shark smell optimization (SSO)…

Systems and Control · Computer Science 2019-04-16 Ehsan Fouladi , Hamed Mojallali

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…

Chaotic Dynamics · Physics 2009-11-10 E. M. Shahverdiev

In this paper a proposal is made of an adaptive coupling function for achieving synchronization between two lasers subject to optical feedback.Such a control scheme requires knowledge of the systems' parameters. We demonstate that when…

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

We report on a significant improvement of the classical time-delayed feedback control method for stabilization of unstable periodic orbits or steady states. In an electronic circuit experiment we were able to realize time-varying and…

Chaotic Dynamics · Physics 2012-02-03 Thomas Jüngling , Aleksandar Gjurchinovski , Viktor Urumov

In this work, we investigate the synchronization in oscillators with conjugate coupling in which oscillators interact via dissimilar variables. The synchronous dynamics and its stability are investigated theoretically and numerically. We…

Chaotic Dynamics · Physics 2016-10-05 Wenchen Han , Mei Zhang , Junzhong Yang

Utilization of chaotic signals for covert communications remains a very promising practical application. Multiple studies indicated that the major shortcoming of recently proposed chaos-based communication schemes is their susceptibility to…

Two mutually coupled chaotic diode lasers with individual external feedback, are shown to establish chaos synchronization in the low-frequency fluctuations regime. A third laser with identical external feedback but coupled unidirectionally…

Disordered Systems and Neural Networks · Physics 2007-05-23 Noam Gross , Einat Klein , Michael Rosenbluh , Wolfgang Kinzel , Lev Khaykovich , Ido Kanter

We present an approach which enables to identify phase synchronization in coupled chaotic oscillators without having to explicitly measure the phase. We show that if one defines a typical event in one oscillator and then observes another…

Statistical Mechanics · Physics 2009-11-13 T. Pereira , M. S. Baptista , J. Kurths

We develop a general theoretical framework of semiclassical phase reduction for analyzing synchronization of quantum limit-cycle oscillators. The dynamics of quantum dissipative systems exhibiting limit-cycle oscillations are reduced to a…

Adaptation and Self-Organizing Systems · Physics 2019-10-16 Yuzuru Kato , Naoki Yamamoto , Hiroya Nakao

We have introduced a mechanism for synchronizing chaotic systems by one way coupling with a variable delay that is reset at finite intervals. Here we extend this method to time delay systems and suggest a new cryptosystem based on this. We…

Chaotic Dynamics · Physics 2010-07-02 G. Ambika , R. E. Amritkar

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

The class of controlled synchronization systems under information constraints imposed by limited information capacity of the coupling channel is analyzed. It is shown that the framework proposed in A. L. Fradkov, B. Andrievsky, R. J. Evans,…

Dynamical Systems · Mathematics 2009-11-13 Alexander L. Fradkov , Boris Andrievsky , Robin J. Evans

The synchronization of coupled chaotic systems represents a fundamental example of self organization and collective behavior. This well-studied phenomenon is classically characterized in terms of macroscopic parameters, such as Lyapunov…

A long-standing expectation is that two repulsively coupled oscillators tend to oscillate in opposite directions. It has been difficult to achieve complete synchrony in coupled identical oscillators with purely repulsive coupling. Here, we…

Chaotic Dynamics · Physics 2023-01-18 Simin Mirzaei , Md Sayeed Anwar , Fatemeh Parastesh , Sajad Jafari , Dibakar Ghosh

We study the synchronization of R{\"o}ssler oscillators as prototype of chaotic systems, when they are coupled on scale-free complex networks. We find that the underlying topology crucially affects the global synchronization properties.…

Statistical Mechanics · Physics 2009-11-11 Soon-Hyung Yook , Hildegard Meyer-Ortmanns

The control of network-coupled nonlinear dynamical systems is an active area of research in the nonlinear science community. Coupled oscillator networks represent a particularly important family of nonlinear systems, with applications…

Adaptation and Self-Organizing Systems · Physics 2016-08-03 Per Sebastian Skardal , Alex Arenas

We report enhancing of complete synchronization in identical chaotic oscillators when their interaction is mediated by a mismatched oscillator. The identical oscillators now interact indirectly through the intermediate relay oscillator. The…

Chaotic Dynamics · Physics 2017-07-06 Ranjib Banerjee , Bidesh K. Bera , Dibakar Ghosh , Syamal Kumar Dana

Stability and stabilization for linear state feedback control systems in the presence of sensor quantization are studied. As the closed-loop system is described by a discontinuous right-hand side differential equation, Krasovskii solutions…

Optimization and Control · Mathematics 2021-12-21 Francesco Ferrante , Frédéric Gouaisbaut , Sophie Tarbouriech
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