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, ￥580000, 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. Software Copyright
Yangzhou University (Xiyin Zhang, Fabao Gao), Non-parametric KS testing software, Computer Software Copyright, Registration number: 2023SR0077674, Originally Obtained, All Rights Reserved, National Copyright Administration of the People’s Republic of China, January 13, 2023.

4. Main Publications
4.1 Journal Papers
(52).Bao Ma, Fabao Gao*, Jianwen Liu. Lagrangian point dynamics in a variable mass collinear R4BP with radiation and Stokes drag, preprint, **(2025):**.  
(51).Aqeela Razzaq, Jianwen Liu, Fabao Gao*. Dynamical systems analysis of timelike geodesics in a Lorentz-violating black hole spacetime, Universe, 11(2025):283. 2024 IF: 2.6.  
(50).Jiazhou Wu, Fabao Gao*. Global dynamics of respiratory process in a class of bacterial culture, Journal of Biological Dynamics, 19(1)(2025):2528680. 2024 IF: 2.2.
(49).Wenhui Liu, Fabao Gao*, Bao Ma. Effects of asteroid belt and oblateness on the stability and orbits near triangular Lagrange points, Results in Physics, 74(2025):108253. 2024 IF: 4.6. 
(48).Jianwen Liu, Fabao Gao*, Ruifang Wang, Aqeela Razzaq. Dynamics of an interacting matter — f(R) model with expansion histories approximating ΛCDM, Journal of High Energy Astrophysics, 47(2025):100383. 2024 IF: 10.5. 
(47).Bao Ma, Fabao Gao*. Dynamic behavior of variable mass R4BP with radiating and oblate primaries, Chaos, Solitons and Fractals, 191(2025):115853. 2024 IF: 5.6.
(46).Bao Ma, Elbaz I. Abouelmagd, Fabao Gao*. Periodic solutions of photo-gravitational R4BP with variable mass and Stokes drag, Nonlinear Dynamics, 113(2025):413-433. 2024 IF: 6.0. 
(45).Jianwen Liu, Ruifang Wang, Fabao Gao*. Dynamic dynamics in variable-vacuum Finsler-Randers cosmology with triple interacting fluids, Universe, 10(7)(2024):302. 2024 IF: 2.6. 
(44). Elbaz I. Abouelmagd*, A.A. Alshaery, Fabao Gao. New dynamical system for circular satellites relative motion, Chaos, Solitons and Fractals, 182(2024):114879. 2024 IF: 5.6. 
(43). Fabao Gao, Yun Feng, Ruifang Wang*, Elbaz I. Abouelmagd. Analysis of motion in RTBP with variable mass based on Loglogistic distribution, Results in Physics, 60(2024):107637. 2024 IF: 4.6.
(42). Ruifang Wang, Fabao Gao*, Huixiang Chen. Particle dynamics around the Einstein-Maxwell-Yang-Mills black hole, International Journal of Geometric Methods in Modern Physics, 21(1)(2024):2450024. 2024 IF: 2.2.
(41). Ruifang Wang, Fabao Gao*, Jianwen Liu. Dynamics of geodesics around the Bardeen-AdS black hole immersed in quintessence, Results in Physics, 58(2024):107499. 2024 IF: 4.6.
(40). Ruifang Wang, Fabao Gao*, Huixiang Chen. Particle dynamics around a static spherically symmetric black hole in the presence of quintessence, Physics of the Dark Universe, 40(2023):101189. 2023 IF: 5.000. 
(39). Jianwen Liu, Ruifang Wang, Fabao Gao*. Dynamics of a cosmological model in f(R,T) gravity: II. In three-dimensional Space, Universe, 9(1)(2023):49. 2023 IF: 2.500. 
(38). Sawsan Alhowaity, H.H.Selim, Fabao Gao, Niraj M.Pathak, Elbaz I.Abouelmagd*, New approach to regularise the perturbed two-body problem, Applied Mathematics and Nonlinear Sciences, 8(2)(2023):1245-1258. 2023 IF: 0.000.
(37). Fabao Gao* and Jaume Llibre. Global dynamics of the Horava-Lifshitz cosmology in the presence of non-zero cosmological constant in a flat space, Physics of the Dark Universe, 38(2022):101139. 2022 IF: 5.500.
(36). Ruifang Wang, Fabao Gao*, Huixiang Chen. Periodic orbits around a static spherically symmetric black hole surrounded by quintessence, Annals of Physics, 447(2022):169167. 2022 IF: 3.000.  
(35). Jianwen Liu, Ruifang Wang, Fabao Gao*. Dynamics of a cosmological model in f(R,T) gravity: I. On invariant planes, Universe, 8(7)(2022):365. 2022 IF: 2.900.  
(34). Ruifang Wang, Jianwen Liu, Fabao Gao*. Dynamic analytical solution of a charged dilaton black hole, Mathematics, 10(12)(2022):2113. 2022 IF: 2.400.  
(33). Yuzhou Tian, Fabao Gao and Tao Li*. Global dynamics of a structurally orthotropic stringer shell system, Communications in Nonlinear Science and Numerical Simulation, 109(2022):106320. 2022 IF: 3.900.  
(32). Huan Cheng and Fabao Gao*. Periodic orbits of restricted three-body problem based on the mass distribution of Saturn’s regular moons, Universe, 8(2)(2022):63. 2022 IF: 2.900.  
(31). Fabao Gao* and Huan Cheng. Application of Kolmogorov-Smirnov test in the distribution of Saturn’s regular satellites, Bulgarian Astronomical Journal, 37(2022): 76-96. 2022 IF: 0.400.
(30). Ruifang Wang and Fabao Gao*. Analytical solution and quasi-periodic behavior of a charged dilaton black hole, Universe, 7(10)(2021):377. 2021 IF: 2.813.  
(29). Ruifang Wang, Yongqing Wang and Fabao Gao*. Bifurcation analysis and approximate analytical periodic solution of ER3BP with radiation and albedo effects, Astrophysics and Space Science, 366(2021): 29. 2021 IF: 1.909.
(28). Fabao Gao* and Xia Liu. Revisiting the distributions of Jupiter’s irregular moons: II. orbital characteristics, Bulgarian Astronomical Journal, 35(2021): 3-28.
(27). Fabao Gao* and Xia Liu. Revisiting the distributions of Jupiter’s irregular moons: I. physical characteristics, Bulgarian Astronomical Journal, 34(2021): 113-135.
(26). Fabao Gao* and Jaume Llibre. Global dynamics of the Horava-Lifshitz cosmological model in a non-flat universe with non-zero cosmological constant, Universe, 7(11)(2021): 445. 2021 IF: 2.813.
(25). Fabao Gao* and Yongqing Wang. Approximate analytical three-dimensional multiple time scales solution to a circular restricted three-body problem, Advances in Astronomy, 2020(2020): 8868137. 2020 IF: 1.267.
(24). Fabao Gao* and Yongqing Wang. Approximate analytical periodic solutions to the restricted three-body problem with perturbation, oblateness, radiation and varying mass, Universe, 6(8)(2020): 110. 2020 IF: 2.278.
(23). Fabao Gao* and Jaume Llibre. Periodic orbits of the two fixed centers problem with a variational gravitational field, Celestial Mechanics and Dynamical Astronomy, 132(2020): 39. 2020 IF: 1.664.
(22). Fabao Gao* and Ruifang Wang. Bifurcation analysis and periodic solutions of the HD 191408 system with triaxial and radiative perturbations, Universe, 6(2)(2020): 35. 2020 IF: 2.278.
(21). Fabao Gao* and Jaume Llibre. Global dynamics of Horava-Lifshitz cosmology with non-zero curvature and a wide range of potentials, European Physical Journal C, 80(2020): 137. 2020 IF: 4.590. (Nature Indexed)
(20). Fabao Gao*, Ruifang 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. 2020 IF: 2.558.
(19). Fabao Gao and Jaume Llibre*. Global dynamics of the Horava-Lifshitz cosmological system, General Relativity and Gravitation, 51(2019): 152. 2019 IF: 2.030.
(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. 2019 IF: 1.661.
(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. 2018 IF: 2.542.
(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. 2018 IF: 1.179.
(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. 2015 IF: 0.297.
(12). F.B. Gao* and W. Zhang. A study on periodic solutions for the circular restricted three-body problem, Astronomical Journal, 148(2014): 116. 2014 IF: 4.024.
(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. 2014 IF: 1.114.
(10). F.B. Gao*. Nontrivial periodic solutions of an n-dimensional differential system and its application, Abstract and Applied Analysis, 2013(2013): 140173. 2013 IF: 1.450.
(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. 2012 IF: 1.050.
(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. 2011 IF: 2.724.
(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. 2010 IF: 1.534.
(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. 2009 IF: 1.487.
(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. 2009 IF: 1.487.
(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. 2009 IF: 1.130.
(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. 2009 IF: 2.381.
(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. 2008 IF: 0.616.
(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. 2008 IF: 1.295.

4.2 Conference Papers  (Too many to have enough time to update)

(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

4.3 Communications (Too many to have enough time to update)
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.