Effects of intermittent coupling on synchronization

Njougouo, Thierry; Simo, Gaël R.; Louodop, Patrick; Fotsin, Hilaire Bertrand; Talla, Pierre Kisito

doi:10.1016/j.chaos.2020.110082

Cited by 12 publications

(2 citation statements)

References 30 publications

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“…But, the numerical solutions of the basic Rössler defined by Eq.1 without coupling term cannot be implemented using general circuit components due to the high amplitude of the signals that can destroy these components. In practice, it often needs to be varied to make proper adjustments to these variables [23]. Thus, the amplitude range of each variable value varies greatly.…”

Section: Circuit Implementationmentioning

confidence: 99%

Synchronization in a multilevel network using the Hamilton-Jacobi-Bellman (HJB) technique

Njougouo,

Camargo,

Louodop

et al. 2022

Preprint

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This paper presents the optimal control and synchronization problem of a multilevel network of Rössler chaotic oscillators. Using the Hamilton-Jacobi-Bellman (HJB) technique, the optimal control law with three-state variables feedback is designed such that the trajectories of all the Rössler oscillators in the network are optimally synchronized in each level. Furthermore, we provide numerical simulations to demonstrate the effectiveness of the proposed approach for the cases of one and three networks. A perfect correlation between the MATLAB and the PSPICE results was obtained, thus allowing the experimental validation of our designed controller and shows the effectiveness of the theoretical results.

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Section: Circuit Implementationmentioning

confidence: 99%

Synchronization in a multilevel network using the Hamilton-Jacobi-Bellman (HJB) technique

Njougouo,

Camargo,

Louodop

et al. 2022

Preprint

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“…The generation mechanism of PM-type intermittent roads is closely related to the tangential bifurcation [13][14][15]. This way occurs before the starting point of the tangential bifurcation, and the performance is that the periodic state and the chaotic state alternately appear with parameter changes [16][17][18][19][20]. When one of the parameters of the system is lower than a certain value, the system exhibits regular periodic motion [20][21][22].…”

Section: Introductionmentioning

confidence: 99%

A novel chaotic system with 11 piecewise linear functions and its analog circuit implementation

Wang¹,

Yu²,

Yan³

2021

Proceedings of the 8th EAI International Conference on Green Energy and Networking, GreeNets 2021, June 6-7, 2021, Dalian, Peop

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In this paper, a new four-dimensional chaotic system with 11 piecewise linear functions is proposed in this paper. The dynamic characteristics of the four-dimensional chaotic system are analyzed through the Lyapunov exponential spectrum and bifurcation diagram. The state of the system under different bifurcation parameter changes is observed and recorded, and the exact parameters of the system entering the chaotic state are determined by the 10 test method. Numerical simulation results show that the system has entered chaos from the intermittent chaotic road, and the system has hidden attractors.Finally, the corresponding analog circuit is designed through system dynamics equations and circuit theory, which provides a complete theoretical basis for the system.

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Synchronization Based on Intermittent Sampling: PWL Multiscroll System

Echenausía-Monroy,

Pena-Ramirez

2024

NODYCON Conference Proceedings Series

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Effects of intermittent coupling on synchronization

Cited by 12 publications

References 30 publications

Synchronization in a multilevel network using the Hamilton-Jacobi-Bellman (HJB) technique

Synchronization in a multilevel network using the Hamilton-Jacobi-Bellman (HJB) technique

A novel chaotic system with 11 piecewise linear functions and its analog circuit implementation

Synchronization Based on Intermittent Sampling: PWL Multiscroll System

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