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The Rosochatius system on the sphere, an integrable mechanical system discovered in the nineteenth century, is investigated in a suitably chosen framework with the sphere as an invariant set, to avoid the complicated constraint presentations. Higher order Rosochatius flows are defined and straightened out in the Jacobi variety of the associated hyperelliptic curve. A relation is found between these flows and the KdV equation, whose finite genus solution is calculated in the context of the Rosoehatius hierarchy. 相似文献
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超导磁储能装置(SMES)是将超导技术、电力电子技术、控制理论和能量管理技术相结合的一种新型储能装置,它从及时补偿系统中由于各种原因产生的不平衡功率这一新的角度出发,考虑提高电力系统稳定性的问题。理论研究表明:这是一种提高电力系统稳定性有效的新措施。为了促使这一理论的广泛应用,同时进一步提高SMES的可靠性,研究了将超导磁储能装置应用于风电场,可稳定系统输出;并在此基础上,对风电场中超导磁储能装置的关键技术之一——系统的信号选取和控制策略做了研究。最后对其发展趋势进行了介绍。 相似文献
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The reaction mechanisms of carcinogenic methylating agent iodomethane (MeI) with keto and enol tautomers of thymine (K- and E-thymine) were studied by using the B3LYP/6-311+G (d, p) method in water phase. The solvent effects were examined using the polarizable continuum model (PCM). Specifically, PCM single-point calculations at the same level of theory were performed in acetone and CCl4 that represent a range in nonpolarity. The calculated results show that the reaction of K-thymine with MeI is a two-step mechanism, whereas that of E-thymine is a one-step mechanism. Our calculations reveal that K-thymine is appreciably more stable than the enol form in the water phase or in the two solvents. The K- and E-form reaction barriers are 135.6 and 222.1 kJ/mol, respectively in water phase. These findings indicate that the reactions mentioned above could not occur efficiently in biological media in the absence of catalyst. Our conclusions are in agreement with the previous studies on the reactions of guanine with methyl chloride and methyl bromide. 相似文献
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在位势与特征函数确定的约束下,耦合 Harry-Dym 方程 Lax 对的空间部分非线性化为一个完全可积的系统{R~(2N),dpΛdq,H=1/2〈Λ~2q,q〉〈Λq,q〉~(-2)+1/2〈p,p〉-1/2α〈q,q〉},而时间部分的非线性化导出它的 N-对合系{F_m}.约束映射将相容系统(H)、(F_m)的对合解映成 m 阶耦合 Harry-Dym 方程的解.一个 Neumann 系统和定态 Harry-Dym 方程之间的关系被讨论.系统{R~(2N),dpΛdq,(?)=1/2〈p,p〉-1/2〈Λq,q〉~(-1)-1/2α〈q,q〉}证明是完全可积的. 相似文献
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The importance of the inverse scattering problem for the Schrdinger equation with energy-dependent potential: 相似文献
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Let S be a unit sphere in R3,Δθ,φ be the spherical Laplasian and q(θ,φ) be a continuous function on S. The following trace formulae are proved for the eigenvalues μn of L0=-Δθ,φ and λn of L=L0+q. 相似文献
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5月20日,南京大学隆重集会,庆祝建校七十七周年,并举行为期十天的第十届科学报告会。应邀前来参加庆祝活动的日本名古屋大学和美国威斯康星大学代表团的化学学者、正在该校化学系讲学的美国专家以及来自北大、复旦、南开、科学院上海有机所等十三个单位的化学工作者和在宁高校及有关单位的代表参加了化学系的报告会。中、日、美科学家济济一堂,进行了国际和校际的学术交流活动。 相似文献
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以变系数的非自治非线性薛定谔方程为模型,考虑了一种色散、非线性和自发拉曼散射效应管理下的非自治系统,通过简单变换显式给出了该系统的精确非自治拉曼多色孤子解。基于精确孤子解,解析研究了该拉曼多色孤子在非自治管理系统中的演化特性,发现孤子的中心位置、波数与色散和非线性以及拉曼效应有关,而孤子频移仅与拉曼效应的参数决定,拉曼效应主导了非自治孤子的自频移,引起了孤子的频移在传输过程中不断的发生变化,导致了孤子的多色性。另外,我们数值讨论了该非自治孤子的传输稳定性,结果表明:该非自治拉曼多色孤子在有限的扰动下具有较好的稳定性。 相似文献