Unidirectional and Bidirectional Coupling Combination Synchronization of Double-Well Duffing Oscillators and Van der Pol Duffing Oscillators Using Linear State Feedback Control Techniques

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Page Numbers: 673-684
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Published: Apr 24, 2025
Digital Object Identifier: 10.58578/ajstea.v3i3.5453
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Authors:
A. N. Njah1, A. M. Lasisi2*, O. Olabisi3, A. H. Adeshina4
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A. N. Njah
University Of Lagos, Lagos State, Nigeria
A. M. Lasisi
Ajayi Crowther University, Oyo, Oyo State, Nigeria
O. Olabisi
Ladoke Akintola University Of Technology, Ogbomoso, Oyo State, Nigeria
A. H. Adeshina
Ajayi Crowther University, Oyo, Oyo State, Nigeria

Abstract

This paper investigates the synchronization of complex dynamical systems, specifically Double-Well Duffing Oscillators and Van der Pol Duffing Oscillators, using unidirectional and bidirectional coupling with linear state feedback control techniques. These oscillators exhibit nonlinear behavior that is widely relevant in engineering and physics, and their coupling mechanisms play crucial roles in applications like signal processing, secure communications, and mechanical systems. In this work, linear state feedback control was employed. The synchronization behavior under both unidirectional and bidirectional coupling schemes was examined. The system was observed by analyzing the stability, convergence rate, and effectiveness of the coupling. MATLAB software was used to validate the feasibility and effectiveness of the linear feedback coupling technique. The results demonstrate that combination synchronization can be achieved through the application of linear state error feedback control techniques in either unidirectional coupling or bidirectional coupling.

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How to Cite
Njah, A. N., Lasisi, A. M., Olabisi, O., & Adeshina, A. H. (2025). Unidirectional and Bidirectional Coupling Combination Synchronization of Double-Well Duffing Oscillators and Van der Pol Duffing Oscillators Using Linear State Feedback Control Techniques. Asian Journal of Science, Technology, Engineering, and Art, 3(3), 673-684. https://doi.org/10.58578/ajstea.v3i3.5453

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Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.

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