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周期摄动保守系统周期解的存在唯一性(英文)
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作者 冯艳青 高枫 +1 位作者 王忠英 陈荣军 《四川师范大学学报(自然科学版)》 CAS CSCD 北大核心 2011年第5期651-654,共4页
长期以来,许多学者对牛顿运动方程解的存在和唯一性问题进行过研究,解决这类问题的方法主要有不动点定理,扰动理论、全局反函数定理、连续同伦法、变分法等.引入非负强制函数,利用吸引盆理论和比较定理证明了周期摄动保守系统周期解存... 长期以来,许多学者对牛顿运动方程解的存在和唯一性问题进行过研究,解决这类问题的方法主要有不动点定理,扰动理论、全局反函数定理、连续同伦法、变分法等.引入非负强制函数,利用吸引盆理论和比较定理证明了周期摄动保守系统周期解存在的一个充分条件,并证明已有的一些结论是本文主要定理的推论. 展开更多
关键词 初值问题 非负强制函数 吸引盆 全局同胚 周期解
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Research progress of modification of Ti_(3)C_(2)T_(x) in sodium-ion batteries
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作者 SUN Pingping YU Huan +3 位作者 ZHANG Haozhen WANG Haoen PENG Zhouhao QIN Sai 《分子科学学报》 CAS 2024年第2期115-124,共10页
As a new two-dimensional layered structural material,Ti_(3)C_(2)T_(x)has excellent electrical conductivity,mechanical properties,hydrophilicity and rich functional groups,showing a wide application prospect in the fie... As a new two-dimensional layered structural material,Ti_(3)C_(2)T_(x)has excellent electrical conductivity,mechanical properties,hydrophilicity and rich functional groups,showing a wide application prospect in the field of energy storage.However,when Ti_(3)C_(2)T_(x)is used as the electrode material of energy storage device,it is easy to stack due to the van der Waals forces between the layers,which hinders the reaction between the surface active site and electrolyte ions,lengthens the path of ion diffusion,and affects its specific capacity and rate performance.To address the above problems,this paper summarizes the research progress of Ti_(3)C_(2)T_(x)surface modification including designing three-dimensional nanostructures,constructing intercalated structural composites(composite with monomers,oxides,sulfides,and selenides),and doping with heteroatoms in sodium-ion batteries,and describes in detail the strategies or mechanisms of battery performance enhancement in conjunction with its preparation methods.Finally,its future research direction and development prospects are envisioned. 展开更多
关键词 MXene Ti_(3)C_(2)T_(x) MODIFICATION Na-ion battery
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