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...
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...
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...
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...
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...
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...