Organic and pharmaceutical synthesis have traditionally relied on the stepwise transformation ofactivated functional groups to synthesize cyclic molecules.The design of valuable heterocyclic compounds,for instance,has...Organic and pharmaceutical synthesis have traditionally relied on the stepwise transformation ofactivated functional groups to synthesize cyclic molecules.The design of valuable heterocyclic compounds,for instance,has depended on multi-step routes such as polar or radical cyclization,cycloadditions,and the manipulation of various functional groups to achieve ring formation or connection[1,2].展开更多
Synchronization of N different coupled chaotic systems with ring and chain connections is investigated. The New system, the Chen system, the Lii system, the Lorenz system, and the Rossler system are used as examples i...Synchronization of N different coupled chaotic systems with ring and chain connections is investigated. The New system, the Chen system, the Lii system, the Lorenz system, and the Rossler system are used as examples in verifying effectiveness of the method. Based on the Lyapunov stability theory, the form of the controller is designed and the area of the coupling coefficients is determined. Simulations indicate that global synchronization of the N different chaotic systems can be realized by choosing appropriate coupling coefficients by using the controller.展开更多
基金supported by the MSIT(2022R1F1A106268,RS-2023-00213491,RS-2023-00219859,RS-2024-00405261,RS-2024-00409589,RS-2025-25460522,and RS-2025-00642970)Republic of Korea,the InnoCORE program of the Ministry of Science and ICT of Korea(N10250153 and 1.250022.01)the Creative Research Program and KAIST Cross-Generation Collaborative Lab Project.
文摘Organic and pharmaceutical synthesis have traditionally relied on the stepwise transformation ofactivated functional groups to synthesize cyclic molecules.The design of valuable heterocyclic compounds,for instance,has depended on multi-step routes such as polar or radical cyclization,cycloadditions,and the manipulation of various functional groups to achieve ring formation or connection[1,2].
基金the Natural Science Foundation of Liaoning Province(No.20052151)the Innovative Team Program of Liaoning Educational Committee
文摘Synchronization of N different coupled chaotic systems with ring and chain connections is investigated. The New system, the Chen system, the Lii system, the Lorenz system, and the Rossler system are used as examples in verifying effectiveness of the method. Based on the Lyapunov stability theory, the form of the controller is designed and the area of the coupling coefficients is determined. Simulations indicate that global synchronization of the N different chaotic systems can be realized by choosing appropriate coupling coefficients by using the controller.
