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Synchronization a chaotic system with Quadratic terms using contraction Method | ||
Computational Methods for Differential Equations | ||
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 06 مهر 1402 اصل مقاله (1.83 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 | ||
آمار تعداد مشاهده مقاله: 30 تعداد دریافت فایل اصل مقاله: 11 |