Triple Compound Synchronization Among Eight Chaotic Systems with External Disturbances via Nonlinear Approach

In this article, the authors have studied the triple compound synchronization among eight chaotic systems with external disturbances. The nonlinear approach is used to achieve triple compound synchronization among eight chaotic systems. The control functions are designed using Lyapunov stability the...

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Bibliographic Details
Published in:Differential equations and dynamical systems 2022-07, Vol.30 (3), p.549-572
Main Authors: Yadav, Vijay K., Prasad, Ghanshyam, Srivastava, Mayank, Das, Subir
Format: Article
Language:English
Subjects:
Computer Science
Disturbances
Engineering
Error functions
Mathematics
Mathematics and Statistics
Original Research
Runge-Kutta method
Signal processing
Synchronism
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Summary:In this article, the authors have studied the triple compound synchronization among eight chaotic systems with external disturbances. The nonlinear approach is used to achieve triple compound synchronization among eight chaotic systems. The control functions are designed using Lyapunov stability theory. Numerical simulation and graphical results are carried out using the Runge–Kutta method, which shows that the designing of control functions are very effective and reliable and can be applied for triple compound synchronization among chaotic systems. The salient feature of the article is the exhibition of complexity in the error function in triple compound synchronization for which the communication via signals will be more secured through this type of synchronization process.
ISSN:0971-3514
0974-6870
DOI:10.1007/s12591-019-00477-9