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In this paper, the partial and full chaotic synchronizations of two nonlinear gyroscope systems with/without noise are investigated. From analytical conditions for synchronization and non-synchronization of two gyroscope systems, the parameter characteristic study is completed for a better understanding of the synchronization dynamics of two gyroscope dynamical systems. The boundaries of the parameter map for synchronization are determined by the onset and vanishing conditions of synchronization. The simple feedback control can make the noised gyroscope system synchronizing with chaotic behaviors of the expected gyroscope system. The methodology presented in this paper is different from other techniques for synchronization. The partial synchronization is an important phenomenon to be observed in engineering applications. 相似文献
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Nonlinear Dynamics - The present paper investigates coordinated oscillatory motion of networked Lagrangian systems under diverse interactions. Based on two new auxiliary oscillator systems, we... 相似文献
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A palladium-catalyzed desulfitative conjugate addition of sodium sulfinates with α,β-unsaturated carbonyl compounds is described. The reaction showed very good selectivity and tolerated a wide range of functionalities under an atmosphere of argon. 相似文献
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An unusual direct amidation of alcohols with nitroarenes mediated by peroxides has been discovered. The reaction tolerated a wide range of functionalities, and various aromatic amides were obtained in moderate to good yields in the absence of transition-metal catalyst. The peroxides and solvents had a significant impact on the reaction yield. 相似文献
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A highly selective phosphine-based ruthenium catalyst system efficiently catalyzes the direct amination of alcohols with aliphatic tertiary amines, yielding unsymmetric tertiary amines in yields up to 87%. Ligand and solvent both affect the reaction yields significantly. The reaction can be performed with a wide variety of functionalities. 相似文献
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Internal Oxidant‐Triggered Aerobic Oxygenation and Cyclization of Indoles under Copper Catalysis 下载免费PDF全文
Dr. Huawen Huang Jinhui Cai Dr. Xiaochen Ji Dr. Fuhong Xiao Ya Chen Prof. Dr. Guo‐Jun Deng 《Angewandte Chemie (International ed. in English)》2016,55(1):307-311
A concise synthesis of pyrazolo[1,5‐a]indole derivatives by copper‐catalyzed aerobic oxygenation and cyclization of indoles with oxime acetates is described. This protocol represents an elegant example of N‐1, C‐2, and C‐3 tri‐functionalization of indoles in one‐pot. Mechanistic studies indicate the reaction proceeds through a radical procedure. Oximes as an internal oxidant have been demonstrated to be a driver to initiate aerobic oxidation, which provides a new oxidative pattern for C‐H functionalization even with high atom‐ and step‐economy. 相似文献
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