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Pabasteh, Marzieh, Naderi, Bashir, Zarei, Hasan. (1402). Synchronization a chaotic system with Quadratic terms using the contraction Method. سامانه مدیریت نشریات علمی, 12(2), 361-373. doi: 10.22034/cmde.2023.55987.2337
Marzieh Pabasteh; Bashir Naderi; Hasan Zarei. "Synchronization a chaotic system with Quadratic terms using the contraction Method". سامانه مدیریت نشریات علمی, 12, 2, 1402, 361-373. doi: 10.22034/cmde.2023.55987.2337
Pabasteh, Marzieh, Naderi, Bashir, Zarei, Hasan. (1402). 'Synchronization a chaotic system with Quadratic terms using the contraction Method', سامانه مدیریت نشریات علمی, 12(2), pp. 361-373. doi: 10.22034/cmde.2023.55987.2337
Pabasteh, Marzieh, Naderi, Bashir, Zarei, Hasan. Synchronization a chaotic system with Quadratic terms using the contraction Method. سامانه مدیریت نشریات علمی, 1402; 12(2): 361-373. doi: 10.22034/cmde.2023.55987.2337

Synchronization a chaotic system with Quadratic terms using the contraction Method

Computational Methods for Differential Equations
مقاله 12، دوره 12، شماره 2، خرداد 2024، صفحه 361-373    اصل مقاله (1.1 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2023.55987.2337
نویسندگان
Marzieh Pabasteh1؛ Bashir Naderi* 1؛ Hasan Zarei2
1Department of Mathematics, Payame Noor University, Tehran, Iran.
2Department of Mathematics, Payame Noor University, Tehran, Iran
چکیده
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.
کلیدواژه‌ها
Contraction theory؛ Chaos؛ Synchronization
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