Projects & Publications

1. Main Research Interests
Astrodynamics;
Celestial Mechanics;
Dynamics of Jupiter and Saturn’s moons;
Global dynamics of Hořava-Lifshitz cosmology;
Differential equations and their applications.

2. National Natural Science Foundation of China (NSFC) Grants
(8). NSFC granted No.12172322, Dynamics of the satellite system of gaseous Jovian planets under statistical laws, 1/1/2022-12/31/2025, ¥*****, Project leader.
(7). NSFC granted No.11672259, Research on nonlinear dynamics theory of the orbits in the perturbed restricted three-body problem, 1/1/2017-12/31/2020, ¥700000, Project leader.
(6). NSFC granted No.11302187, Study on orbital dynamics of the restricted three-body problem in deep-space exploration, 1/1/2014-12/31/2016, ¥280000, Project leader.
(5). NSFC granted No.11501494, The study on spreading feature of an epidemic area of disease, 1/1/2016-12/31/2018, ¥180000, Co-Principal Investigator.
(4). NSFC granted No.11571301, The criteria for spreading and characteristic of spreading front in species invasions, 1/1/2016-12/31/2019, ¥550000, Co-Principal Investigator.
(3). NSFC granted No.61473340, Investigations for bifurcation problems and simulations of nonlinear systems with higher dimension, 1/1/2015-12/31/2018, ¥580000, Co-Principal Investigator.
(2). NSFC granted No.11371311, Study on the edge and moving speed of the spread of infectious diseases, 1/1/2014-12/31/2017, ¥620000, Co-Principal Investigator.
(1). NSFC granted No.11072008, Nonlinear dynamic modeling, theoretical analysis and experimental research on variable structures, 1/1/2011-12/31/2013, ¥580000, Co-Principal Investigator.
 

3. Main Publications
Journal Papers
(30). R.F. Wang, Y.Q. Wang and F.B. Gao*. Bifurcation analysis and approximate analytical periodic solution of ER3BP with radiation and albedo effects, Astrophysics and Space Science, 366(2021): 29.
(29). F.B. Gao* and X. Liu. Revisiting the distributions of Jupiter’s irregular moons: II. orbital characteristics, Bulgarian Astronomical Journal, 35(2021):1-25.
(28). F.B. Gao* and X. Liu. Revisiting the distributions of Jupiter’s irregular moons: I. physical characteristics, Bulgarian Astronomical Journal, 34(2021):113-135.
(27). F.B. Gao* and J. Llibre. Global dynamics of the Horava-Lifshitz cosmological model in a non-flat universe with non-zero cosmological constant, preprint, (2020).
(26). F.B. Gao* and J. Llibre. Global dynamics of the Horava-Lifshitz cosmology in the presence of non-zero cosmological constant in a flat space, preprint
, (2020).
(25). F.B. Gao* and Y.Q Wang. Approximate analytical three-dimensional multiple time scales solution to a circular restricted three-body problem, Advances in Astronomy, 2020(2020):8868137.

(24). F.B. Gao* and Y.Q. Wang. Approximate analytical periodic solutions to the restricted three-body problem with perturbation, oblateness, radiation and varying mass, Universe, 6(8)(2020): 110.
(23). F.B. Gao* and J. Llibre. Periodic orbits of the two fixed centers problem with a variational gravitational field, Celestial Mechanics and Dynamical Astronomy
, 132(2020): 39.
(22). F.B. Gao* and R.F. Wang. Bifurcation analysis and periodic solutions of the HD 191408 system with triaxial and radiative perturbations, Universe
, 6(2)(2020): 35.
(21). F.B. Gao* and J. Llibre. Global dynamics of Horava-Lifshitz cosmology with non-zero curvature and a wide range of potentials, The European Physical Journal C
, 80(2020): 137.
(20). F.B. Gao*, R.F. Wang and S.K. Lai. Bifurcation and chaotic analysis for cable vibration of a cable-stayed bridge, International Journal of Structural Stability and Dynamics, 20(2)(2020): 2071004.

(19). F.B. Gao and J. Llibre*. Global dynamics of the Horava-Lifshitz cosmological system, General Relativity and Gravitation, 51(2019):152.

(18). S.K. Lai*, X. Yang and F.B. Gao. Analytical analysis of large-amplitude oscillation in triple-well non-natural systems, Journal of Computational and Nonlinear Dynamics, 14(9)(2019): 091002.

(17). F.B. Gao*, X.H. Zhu, X. Liu and R.F. Wang. Distribution inference for physical and orbital properties of the Jupiter’s moons, Advances in Astronomy, 2018(2018):1894850. 

(16). R.F. Wang, F.B. Gao*. Numerical study of the zero velocity surface and transfer trajectory of a circular restricted five-body problem, Mathematical Problems in Engineering, 2018(2018):7489120.

(15). Y. Huang, F. Lin, Y.Q. Shen, R.F. Wang, F.B. Gao*. Numerical study on the species of transfer orbit in the circular restricted three-body problem, Astronomy and Astrophysics, 6(1)2018: 1-7. 
. (in Chinese)
(14). J.Y. Li, F.B. Gao*. Study on the distribution law of exam scores of public course “Probability and mathematical statistics” in colleges and universities, Statistics and Application, 6(3)(2017):333-350.
(in Chinese)
(13). F.B. Gao*, S.P. Lu, M.H. Yao. Periodic solutions for Liénard type equation with time-variable coefficient, Advances in Difference Equations, 2015(2015):125.

(12). F.B. Gao* and W. Zhang. A study on periodic solutions for the circular restricted three-body problem, The Astronomical Journal, 148(2014):116.

(11). W. Zhang*, H.L. Hu, Y.H. Qian and F.B. Gao. A refined asymptotic perturbation method for nonlinear dynamical systems, Archive of Applied Mechanics, 84(2014):591-606.
(10). F.B. Gao*. Nontrivial periodic solutions of an n-dimensional differential system and its application, Abstract and Applied Analysis, 2013(2013):140173.

(9). W. Zhang*, F.B. Gao and M.H. Yao. Periodic solutions and stability of a tethered satellite system, Mechanics Research Communications, 44(2012):24-29.

(8). F.B. Gao and W. Zhang*. Periodic solutions for a p-Laplacian-like NFDE system, Journal of the Franklin Institute, 348(2011):1020-1034.

(7). F.B. Gao, S.P. Lu and W. Zhang*. Periodic solutions for a Rayleigh type p-Laplacian equation with sign-variable coefficient of nonlinear term, Applied Mathematics and Computation, 216(2010):2010-2015.

(6). F.B. Gao, W. Zhang*, S.K. Lai and S.P. Chen. Periodic solutions for n-dimensional generalized Liénard type p-Laplacian functional differential system, Nonlinear Analysis-Theory Methods & Applications, 71(2009):5906-5914.

(5). F.B. Gao*, S.P. Lu and W. Zhang. Existence and uniqueness of periodic solutions for a p-Laplacian Duffing equation with a deviating argument, Nonlinear Analysis-Theory Methods & Applications, 70(2009):3567-3574.

(4). F.B. Gao*, S.P. Lu and W. Zhang. Periodic solutions for p-Laplacian neutral Liénard equation with a sign-variable coefficient, Journal of the Franklin Institute, 346(2009):57-64.

(3). F.B. Gao* and S.P. Lu. Periodic solutions for a Rayleigh type equation with a variable coefficient ahead of the nonlinear term, Nonlinear Analysis-Real World Applications, 10(2009):254-258.

(2). F.B. Gao* and S.P. Lu. New results on the existence and uniqueness of periodic solutions for Liénard type p-Laplacian equation, Journal of the Franklin Institute, 345(2008) 374-381.

(1). F.B. Gao* and S.P. Lu. Existence of periodic solutions for a Liénard type p-Laplacian differential equation with a deviating argument, Nonlinear Analysis-Theory Methods & Applications, 69(2008):4754-4763.

Conference Papers

(4). New Results on the existence of periodic orbits in the CR3BP, MACE’12 Proceedings of the 2012 Third International Conference on Mechanic Automation and Control Engineering, pp3590-3593, 2012. F. B. Gao and W. Zhang (see http://dl.acm.org/citation.cfm?id=2475279 for details)
(3). On the existence of periodic orbits in the CR3BP, The 2nd International Conference on Mechanic Automation and Control Engineering 9, pp7504-7507, 2011. W. Zhang, F. B. Gao and J. H. Zhang
(2). Periodicity and stability of tethered satellite systems-part I: circular orbit case, AIP Conference Proceedings 1233, pp197-202, 2010. F. B. Gao, W. Zhang and M. H. Yao
(1). New family of combined iterative methods for solving nonlinear equations, Proceedings of the 2009 International Joint Conference on Computational Sciences and Optimization 1, pp547-550, 2009. S.P. Chen, F.B. Gao, W. Zhang and M. H. Yao

Communications
2017年8月, 中国力学大会-2017, 北京.

2017年5月, 第十六届全国非线性振动暨第十三届全国非线性动力学和运动稳定性学术会议, 浙江杭州.

2016年12月, 第八届全国空间轨道设计竞赛颁奖暨研讨会, 江苏扬州.

2016年5月, 第十届全国动力学与控制学术会议, 四川成都.

2015年5月, 第十五届全国非线性振动暨第十二届全国非线性动力学和运动稳定性学术会议, 湖南长沙.

2013年8月, 中国力学大会-2013, 陕西西安.

2013年5月, 第十四届全国非线性振动暨第十一届全国非线性动力学和运动稳定性学术会议, 广西南宁.

2012年8月, The 23rd International Congress of Theoretical and Applied Mechanics, 北京.

2012年5月, 第九届全国动力学与控制学术会议, 陕西西安.

2011年8月, 中国力学大会-2011暨钱学森诞辰100周年纪念大会, 黑龙江哈尔滨.

2011年3月, 第十三届全国非线性振动暨第十届全国非线性动力学和运动稳定性学术会议, 天津.

2010年5月, The 3rd International Conference on Dynamics, Vibration and Control, 浙江杭州.

2009年11-12月, The 2nd International Symposium on Computational Mechanics and the 12th International Conference on the Enhancement and Promotion of Computational Methods in Engineering and Science, Hong Kong and Macau.

2009年8月, 中国力学大会-2009, 河南郑州.

2009年5月, 第十二届全国非线性振动暨第九届全国非线性动力学和运动稳定性学术会议, 江苏镇江.

2 replies to Projects & Publications

  1. 高老师,我们在长沙青年研讨会聊过。无意间发现你的网站,非常棒!建议你可以把国内外关于动力学与控制领域相关的国内外会议的信息汇总发布一下,类似下面这个网站:http://bwk.kuleuven.be/bwm/events/conf.html

    相信你这就会成为动力学与控制的“桥头堡”了!

    祝顺利,

    • 徐老师,您的建议很好,我会网罗一下动力学与控制领域内相关的会议信息,然后发布。非常感谢!
      “桥头堡”不敢当,充其量也就希望有机会能成为方便大家的“码头”,哈哈。
      祝好
      高发宝

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