In this article, Synchronization and control methods are discussed as essential topics in science. The contraction method is an exciting method that has been studied for the synchronization of chaotic systems with known and unknown parameters. The controller and the dynamic parameter estimation are obtained using the contraction theory to prove the stability of the synchronization error and the low parameter estimation. The control scheme does not employ the Lyapunov method. For demonstrate the ability of the proposed method, we performed a numerical simulation and compared the result with the previous literature.
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Pabasteh, M., Naderi, B., & Zarei, H. (2024). Synchronization a chaotic system with Quadratic terms using the contraction Method. Computational Methods for Differential Equations, 12(2), 361-373. doi: 10.22034/cmde.2023.55987.2337
MLA
Marzieh Pabasteh; Bashir Naderi; Hasan Zarei. "Synchronization a chaotic system with Quadratic terms using the contraction Method". Computational Methods for Differential Equations, 12, 2, 2024, 361-373. doi: 10.22034/cmde.2023.55987.2337
HARVARD
Pabasteh, M., Naderi, B., Zarei, H. (2024). 'Synchronization a chaotic system with Quadratic terms using the contraction Method', Computational Methods for Differential Equations, 12(2), pp. 361-373. doi: 10.22034/cmde.2023.55987.2337
VANCOUVER
Pabasteh, M., Naderi, B., Zarei, H. Synchronization a chaotic system with Quadratic terms using the contraction Method. Computational Methods for Differential Equations, 2024; 12(2): 361-373. doi: 10.22034/cmde.2023.55987.2337