supported by the National Natural Science Foundation of China(Grant No.62071411)。
Conservative chaotic flows have better ergodicity,therefore researching dynamics and applications of conservative systems has become a hot topic.We introduce a constant-perturbation into a 5-dimensional(5D)conservativ...
Project supported by the National Natural Science Foundation of China(Grant No.11647071);the Natural Science Foundation of Jiangsu Province,China(Grant No.BK20160435)
We present a perturbation study of the ground-state energy of the beryllium atom by incorporating double parameters in the atom's Hamiltonian. The eigenvalue of the Hamiltonian is then solved with a double-fold pertu...
The asymptotic iteration method (AIM) is used to obtain the quasi-exact solutions of the Schr6dinger equation with a deformed well potential. For arbitrary potential parameters, a numerical aspect of AIM is also app...
Project supported by the Guangxi Provincial Natural Science Foundation,China(Grant No.2014GXNSFBA118271);the Research Project of Guangxi University,China(Grant No.ZD2014022);the Fund from Guangxi Provincial Key Laboratory of Multi-source Information Mining&Security,China(Grant No.MIMS14-04);the Fund from the Guangxi Provincial Key Laboratory of Wireless Wideband Communication&Signal Processing,China(Grant No.GXKL0614205);the Education Development Foundation and the Doctoral Research Foundation of Guangxi Normal University;the State Scholarship Fund of China Scholarship Council(Grant No.[2014]3012);the Innovation Project of Guangxi Graduate Education,China(Grant No.YCSZ2015102)
Perturbation imposed on a chaos system is an effective way to maintain its chaotic features. A novel parameter perturbation method for the tent map based on the Lyapunov exponent is proposed in this paper. The pseudo-...
Project supported by the National Natural Science Foundation of China (Grant No. 10875039);the Foundation of the Science and Technology of Hunan Province,China (Grant No. 2011CK3013)
A variational-integral perturbation method(VIPM) is established by combining the variational perturbation with the integral perturbation.The first-order corrected wave functions are constructed,and the second-order ...
Project supported by the National Natural Science Foundation of China (Grant Nos. 11071205 and 11101349), the “Strate- gic Priority Research Program-Climate Change: Carbon Budget and Relevant Issues” of the Chinese Academy of Sciences, China (Grant No. XDA01020304), the Natural Science Foundation from the Education Bureau of Anhui Province, China (Grant No. KJ2011A135), and the Natural Science Foundation of Jiangsu Province, China (Grant No. BK2011042).
The EI Nino-southern oscillation (ENSO) is an interannual phenomenon involved in tropical Pacific ocean- atmosphere interactions. In this paper, we develop an asymptotic method of solving the nonlinear equation usin...
Project supported by the National Natural Science Foundation of China (Grant Nos. 60573172 and 60973152);the Doctoral Program Foundation of Institution of Higher Education of China (Grant No. 20070141014);the Natural Science Foundation of Liaoning Province of China (Grant No. 20082165)
Disturbance imposed on the chaotic systems is an effective way to maintain its chaotic good encryption features. This paper proposes a new perturbation method to the Tent map. First it divides the Tent map domain into...
Project supported by the National Natural Science Foundation of China (Grant Nos. 10875018 and 10773002)
Spin-weighted spheroidal wave functions play an important role in the study of the linear stability of rotating Kerr black holes and are studied by the perturbation method in supersymmetric quantum mechanics. Their an...
Project supported by the National Natural Science Foundation of China(Grant Nos.10875018 and 10773002)
The spheroidal wave functions are found to have extensive applications in many branches of physics and mathematics. We use the perturbation method in supersymmetric quantum mechanics to obtain the analytic ground eige...
Project supported by the Educational Department of Inner Mongolia (NJZY:08005);Open Fund of the Key Laboratory of Ocean Circulation and Waves,Chinese Academy of Sciences (Grant No KLOCAW0805)
This paper uses the weakly nonlinear method and perturbation method to deal with the quasi-geostrophic vorticity equation,and the modified Korteweg-de Vries(mKdV) equations describing the evolution of the amplitude ...