A new dynamic synchronization method to different random initial-times master-response real order systems
Going beyond nonlinear master-response real-order systems with distinct random initial times has been a long-standing open problem, and it is not known how to synchronize dynamics between them. This article demonstrates memory chaos synchronization between two different real-order systems associated...
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2024-12-01
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| Series: | Franklin Open |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S277318632400118X |
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| Summary: | Going beyond nonlinear master-response real-order systems with distinct random initial times has been a long-standing open problem, and it is not known how to synchronize dynamics between them. This article demonstrates memory chaos synchronization between two different real-order systems associated with distinct random initial times, employing a new method. A new dynamic equation with an external order subject to a designed nonlinear control law has been implemented to establish some new theoretical conditions that guarantee dynamic asymptotic synchronization, and Mittag-Leffler asymptotic synchronization is put forward. Random initial-time real-order Chua’s system and Li and Sprott systems are considered to illustrate the importance of the proposed method, including simulations. |
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| ISSN: | 2773-1863 |