Synchronization of two coupled multimode oscillators with time-delayed feedback

Emelianova, Yulia P.; Emelyanov, Valeriy V.; Ryskin, Nikita M.

doi:10.1016/j.cnsns.2014.03.031

Cited by 15 publications

(8 citation statements)

References 39 publications

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“…By recording the signals with a fast data-acquisition board, we confirmed that the effect is not simply due to the use of a lock-in amplifier (can only detect signals at a single frequency). We ascribe it to the coupling between two oscillating modes [29][30][31], and this aspect of the system behavior will be discussed elsewhere.…”

Section: Nondestructive Testing With a Dual-frequency Spin Masermentioning

confidence: 99%

Dual-frequency cesium spin maser

et al. 2020

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Comagnetometers have been validated as valuable components of the atomic physics toolbox in fundamental and applied physics. So far, the explorations have been focused on systems involving nuclear spins. Presented here is a demonstration of an active alkali-metal (electronic) system, i.e., a dual-frequency spin maser operating with the collective cesium F = 3 and F = 4 spins. The experiments have been conducted in both magnetically shielded and unshielded environments. In addition to the discussion of the system's positive-feedback mechanism, the implementation of the dual-frequency spin maser for industrial nondestructive testing is shown. The stability of the F = 3 and F = 4 spin precession frequency ratio measurement is limited at the 3 × 10 −8 level by the laser frequency drift, corresponding to a frequency stability of 1.2 mHz for 10 4 s integration time. We discuss measurement strategies that could improve this stability to nHz, enabling measurements with sensitivities to the axion-nucleon and axion-electron interactions at the levels of f a /C N ∼ 10 9 and f a /C e ∼ 10 8 GeV, respectively.

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Section: Nondestructive Testing With a Dual-frequency Spin Masermentioning

confidence: 99%

Dual-frequency cesium spin maser

et al. 2020

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“…For instance, circadian rhythm in mammals is governed by the suprachiasmatic nucleus that is located in the brain and consists of a large population of coupled oscillatory neurons [1]. Examples also include interacting oscillators, robot corporations, semiconductor lasers, communication networks, Josephson junction circuits, spread of infectious diseases, entrainment in coupled oscillatory chemically reacting cells, and neutrino oscillations [2][3][4][5][6]. Since the extensive applications of coupled systems heavily depend on their dynamical behaviors, the analysis of dynamics is an important and necessary step for the practical design of coupled systems.…”

Section: Introductionmentioning

confidence: 99%

Stability, bifurcation, and synchronization of delay-coupled ring neural networks

Mao

Wang

2015

Nonlinear Dyn

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This paper studies the nonlinear dynamics of coupled ring networks each with an arbitrary number of neurons. Different types of time delays are introduced into the internal connections and couplings. Local and global asymptotical stability of the coupled system is discussed, and sufficient conditions for the existence of different bifurcated oscillations are given. Numerical simulations are performed to validate the theoretical results, and interesting neuronal activities are observed, such as rest state, synchronous oscillations, asynchronous oscillations, and multiple switches of the rest states and different oscillations. It is shown that the number of neurons in the sub-networks plays an important role in the network characteristics.

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“…Adaptable control [16][17][18][19]26,27] is of interest for the synchronization of chaotic systems because of the presence of unknown parameters since the learning laws are continuously updated for maintaining the performance of the system. Other controls are also applied, for example the control by state feedback [28][29][30][31][32][33][34], feedback control with delays [35][36][37][38] or active control [39][40][41][42] which works by considering the error synchronization, here the nonlinearities are eliminated, and the dynamic error equations are decoupled. Finally, synchronization has been used through neural networks [43].…”

Section: Introductionmentioning

confidence: 99%

Design and Implementation of a Microcontroller Based Active Controller for the Synchronization of the Petrzela Chaotic System

et al. 2019

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This paper presents an active control design for the synchronization of two identical Petrzela chaotic systems (Petrzela, J.; Gotthans, T. New chaotic dynamical system with a conic-shaped equilibrium located on the plane structure. Applied Sciences. 2017, 7, 976) on master-slave configuration. For the active control, the parameters of both systems are assumed to be a priori known, the control law by means of the dynamic of the error synchronization is designed to guarantee the convergence to zero of error states and the synchronization process is verified by numerical simulation. By taking advantage of the execution and implementation facilities of microcontroller based chaotic systems in digital devices, the active controller is implemented in a 32 bits ARM microcontroller. The experimental results were obtained by using the fourth order Runge-Kutta numerical method to integrate the differential equations of the controller, where the results were measured with a digital oscilloscope.

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Synchronization of two coupled multimode oscillators with time-delayed feedback

Cited by 15 publications

References 39 publications

Dual-frequency cesium spin maser

Dual-frequency cesium spin maser

Stability, bifurcation, and synchronization of delay-coupled ring neural networks

Design and Implementation of a Microcontroller Based Active Controller for the Synchronization of the Petrzela Chaotic System

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