国家自然科学基金(10873007)

作品数:10被引量:16H指数:3
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相关作者:伍歆钟双英李荣王玉诏马大柱更多>>
相关机构:南昌大学湖北民族大学更多>>
相关期刊:《Science China(Physics,Mechanics & Astronomy)》《Chinese Physics B》《物理学报》《Research in Astronomy and Astrophysics》更多>>
相关主题:混沌METHODSNUMERICAL积分器COSMOLOGY更多>>
相关领域:理学天文地球自动化与计算机技术更多>>
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旋转致密双星的引力波特征被引量:3
《物理学报》2012年第16期40-49,共10页王玉诏 伍歆 钟双英 
国家自然科学基金(批准号:10873007;11173012;11178002;11165011);南昌大学创新团队项目资助的课题~~
研究了轨道和旋转效果到2.5阶后牛顿旋转致密双星拉格朗日动力学与引力波的关系,分析了有序和混沌轨道的引力波特征.发现当加速度不考虑辐射项时,有序双星系统辐射的引力波具有周期或拟周期的特征,而混沌双星系统辐射的引力波却具有明...
关键词:引力波 后牛顿近似 旋转致密双星 混沌 
Dynamics of particles around a pseudo-Newtonian Kerr black hole with halos
《Chinese Physics B》2012年第5期88-99,共12页王颖 伍歆 
Project supported by the National Natural Science Foundation of China (Grant Nos. 10873007,11173012,and 11178002)
The regular and chaotic dynamics of test particles in a superposed field between a pseudo-Newtonian Kerr black hole and quadrupolar halos is detailed.In particular,the dependence of dynamics on the quadrupolar paramet...
关键词:pseudo-Newtonian potential Kerr black hole CHAOS 
半隐Euler法和隐中点法嵌入混合辛积分器的比较被引量:4
《物理学报》2011年第9期104-115,共12页钟双英 伍歆 
国家自然科学基金(批准号:10873007);南昌大学创新团队项目资助的课题~~
当Hamilton函数分解为可积和不可积两部分时,前者能用分析方法给出解析解,而后者可借助一阶半隐Euler法或二阶隐中点法等数值求解,将这种解析和数值解法组合能构造二阶混合辛积分器.理论分析表明Euler嵌入法的稳定区要小于中点嵌入法的...
关键词:辛积分器 后牛顿近似 自旋致密双星 混沌 
Symplectic integrators with potential derivatives to third order被引量:2
《Research in Astronomy and Astrophysics》2011年第3期353-368,共16页Wei Sun Xin Wu Guo-Qing Huang 
supported by the National Natural Science Foundation of China(Grant No.10873007);supported by the Science Foundation of Jiangxi Education Bureau(GJJ09072);the Program for an Innovative Research Team of Nanchang University
An operator associated with third-order potential derivatives and a force gradient operator corresponding to second-order potential derivatives are used together to design a number of new fourth-order explicit symplec...
关键词:celestial mechanics—methods:numerical 
Optimized third-order force-gradient symplectic algorithms被引量:3
《Science China(Physics,Mechanics & Astronomy)》2010年第9期1600-1609,共10页LI Rong & WU Xin School of Science,Nanchang University,Nanchang 330031,China 
supported by the NationalNatural Science Foundation of China (Grant No.10873007);supported by the Science Foundation of Jiangxi Education Bureau (Grant No.GJJ09072);the Program for Innovative Research Team of Nanchang University
With the natural splitting of a Hamiltonian system into kinetic energy and potential energy,we construct two new optimal thirdorder force-gradient symplectic algorithms in each of which the norm of fourth-order trunca...
关键词:SYMPLECTIC INTEGRATORS SYMPLECTIC scheme-shooting METHOD celestial mechanics time-independent Schrdinger equation energy eigenvalues numerical stability BISECTION METHOD topological structure 
两个三阶最优化力梯度辛积分器的对称组合被引量:5
《物理学报》2010年第10期7135-7143,共9页李荣 伍歆 
国家自然科学基金(批准号:10873007);江西省教育厅科技基金(批准号:GJJ09072)资助的课题~~
利用已存在的三阶最优化力梯度辛格式以对称组合方法获得两个新的四阶力梯度辛积分器.它们在求解摄动Kepler混沌问题的能量精度和一维定态Schrdinger方程的能量本征值精度方面比Forest-Ruth四阶非力梯度辛积分器要好得多,甚至还要明...
关键词:辛积分器 摄动Kepler问题 混沌 能量本征值 
Vander Waals势能问题不变积分保持算法研究
《湖北民族学院学报(自然科学版)》2010年第1期46-48,共3页马大柱 
国家自然科学基金项目(自旋致密双星系统的有序和混沌)(10873007)
采用速度因子方法以及最小二乘法速度因子改正方法,用于稳定范德瓦尔斯势能问题中两孤立积分的数值误差.庞加莱截面分析表明,两种方法都能保持较高的数值稳定性,提高数值结果精度.相比较而言,最小二乘法速度因子改正方法的效果更为明显...
关键词:范德瓦尔斯势能问题 速度因子方法 最小二乘法速度改正方法 庞加莱截面 
A new interpretation of zero Lyapunov exponents in BKL time for Mixmaster cosmology被引量:1
《Research in Astronomy and Astrophysics》2010年第3期211-219,共9页Xin Wu 
supported by the National Natural Science Foundation of China(Grant No.10873007);supported by the Science Foundation of Jiangxi Education Bureau(GJJ09072);the Program for Innovative Research Team of Nanchang University
A global relationship between cosmological time and Belinskii-Khalatnikov -Lifshitz (BKL) time during the entire evolution of the Mixmaster Bianchi IX universe is used to explain why all the Lyapunov exponents are z...
关键词:cosmology: early universe -- relativity 
Several fourth-order force gradient symplectic algorithms被引量:3
《Research in Astronomy and Astrophysics》2010年第2期173-188,共16页Jia Xu Xin Wu 
supported by the National Natural Science Foundation of China (Grant No. 10873007);supported by the Science Foundation of Jiangxi Education Bureau (GJJ09072);Program for Innovative Research Team of Nanchang University
By adding force gradient operators to symmetric compositions, we build a set of explicit fourth-order force gradient symplectic algorithms, including those of Chin and coworkers, for a separable Hamiltonian system wit...
关键词:celestial mechanics -- methods: numerical 
Effects of the cosmological constant on chaos in an FRW scalar field universe被引量:2
《Research in Astronomy and Astrophysics》2009年第11期1185-1191,共7页Da-Zhu Ma Xin Wu Shuang-Ying Zhong 
supported by the Natural Science Foundation of China (Grant No. 10873007);supported by the Science Foundation of Jiangxi Education Bureau (GJJ09072);the Program for Innovative Research Teams of Nanchang University
The dependence of chaos on two parameters of the cosmological constant and the self-interacting coefficient in the imaginary phase space for a closed Friedman- Robertson-Walker (FRW) universe with a conformally coup...
关键词:COSMOLOGY cosmological parameters -- methods NUMERICAL 
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