Adaptive synchronization of coupled chaotic oscillators

Ravoori, Bhargava; Cohen, Adam B.; Setty, Anurag V.; Sorrentino, Francesco; Murphy, Thomas E.; Ott, Edward; Roy, Rajarshi

doi:10.1103/physreve.80.056205

Cited by 30 publications

(24 citation statements)

References 29 publications

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“…In the process of doing so, it is also possible to estimate and track the time-varying perturbations of the coupling strengths. In the illustrative case of two coupled systems, we have recently shown (Ravoori et al 2009) that this scheme can be implemented experimentally. In §6, we describe the scheme as implemented in the DSP-based system described in §3, and we examine its effectiveness in maintaining synchrony and tracking the time-dependent perturbations of the coupling channel.…”

Section: Introductionmentioning

confidence: 99%

Complex dynamics and synchronization of delayed-feedback nonlinear oscillators

Murphy

Cohen

Ravoori

et al. 2010

Phil. Trans. R. Soc. A.

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We describe a flexible and modular delayed-feedback nonlinear oscillator that is capable of generating a wide range of dynamical behaviours, from periodic oscillations to high-dimensional chaos. The oscillator uses electro-optic modulation and fibre-optic transmission, with feedback and filtering implemented through real-time digital signal processing. We consider two such oscillators that are coupled to one another, and we identify the conditions under which they will synchronize. By examining the rates of divergence or convergence between two coupled oscillators, we quantify the maximum Lyapunov exponents or transverse Lyapunov exponents of the system, and we present an experimental method to determine these rates that does not require a mathematical model of the system. Finally, we demonstrate a new adaptive control method that keeps two oscillators synchronized, even when the coupling between them is changing unpredictably.

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Section: Introductionmentioning

confidence: 99%

Complex dynamics and synchronization of delayed-feedback nonlinear oscillators

Murphy

Cohen

Ravoori

et al. 2010

Phil. Trans. R. Soc. A.

Self Cite

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“…According to the literature [27], the detuning of the feedback strength is mainly caused by environmental changes of the channel which is basically uncontrollable. However, the mismatch of the time-delay can be maintained at a very low degree due to the technology of variable optical delay line (the precision of a commercial use tunable optical delay line product could be up to several femtoseconds).…”

Section: Synchronization Schemementioning

confidence: 99%

A novel chaotic system with suppressed time-delay signature based on multiple electro-optic nonlinear loops

et al. 2015

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We present a novel time-delay chaotic system by adopting multiple electro-optic nonlinear loops. The dynamic characteristics of the proposed chaotic system are investigated by means of the bifurcation diagram and the permutation entropy. The security performance of the system is analyzed in detail by using autocorrelation function, delayed mutual information, and the permutation information approach. The simulation results show that the time-delay signature is suppressed under certain simple conditions. Moreover, a synchronization scheme on basis of the proposed system is analyzed. Both the security and the feasibility are verified. The proposed chaotic system can be used in secure communications and also has potential applications in random number generation or chaos computing.

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“…For fundamental investigations of the dynamical properties of delay systems, any setting can be adopted, depending on the studied configuration: accurately controllable and variable time parameters usually involve discrete time [14] or analogue-to-digital conversion [15,[18][19][20]. The delay function is emulated by the so-called first-in first-out (FIFO) memories in the digital processing.…”

Section: (I) Amplitude Parametersmentioning

confidence: 99%