@CONFERENCE{HKC2001,
  author    = {Howell, K.C.},
  title     = {Families of Orbits in the Vicinity of the Collinear Libration Points},
  booktitle = {J Astronaut Sci},
  year      = {2001},
  volume    = {49},
  number    = {1},
  pages     = {107-125},
  doi       = {10.1007/BF03546339}
}

@CONFERENCE{HKC1984,
  author    = {Howell, K.C.},
  title     = {Three-dimensional, periodic, 'halo' orbits},
  booktitle = {Celest Mech Dyn Astr},
  year      = {1984},
  volume    = {32},
  number    = {1},
  pages     = {53-71},
  doi       = {10.1007/BF01358403}
}

@CONFERENCE{QYY2017,
  author    = {Qian, Y.J. and Yang, X.D. and Zhai, G.Q. and et al.},
  title     = {Analytical and numerical construction of vertical periodic orbits about triangular libration points based on polynomial expansion relations among directions},
  booktitle = {Astrophys Space Sci},
  year      = {2017},
  volume    = {362},
  pages     = {136},
  doi       = {10.1007/s10509-017-3115-y}
}

@CONFERENCE{FK1973,
  author    = {Farquhar, R. and Kamel, A.},
  title     = {Quasi-periodic orbit about the translunar libration point},
  booktitle = {Celest Mech Dyn Astr},
  year      = {1973},
  volume    = {7},
  pages     = {458-473},
  doi       = {10.1007/BF01227511}
}

@CONFERENCE{RDL1980,
  author    = {Richardson, D.L.},
  title     = {Analytic Construction of Periodic Orbits about the Collinear Points},
  booktitle = {Celest Mech Dyn Astr},
  year      = {1980},
  volume    = {22},
  number    = {3},
  pages     = {241-253},
  doi       = {10.1007/BF01229511}
}

@CONFERENCE{QYZ2018,
  author    = {Qian, Y.J. and Yang, X.D. and Zhang, W. and Zhai, G.Q.},
  title     = {Periodic Motion Analysis Around the Libration Points by Polynomial Expansion Method in Planar Circular Restricted Three-body Problem},
  booktitle = {Nonlinear Dyn},
  year      = {2018},
  volume    = {91},
  number    = {1},
  pages     = {39-54},
  doi       = {10.1007/s11071-017-3857-7}
}

@CONFERENCE{QYY2018,
  author    = {Qian, Y.J. and Yang, L.Y. and Yang, X.D. and et al.},
  title     = {Parametric stability analysis for planar bicircular restricted four-body problem},
  booktitle = {Astrodyn},
  year      = {2018},
  volume    = {2},
  pages     = {147-159},
  doi       = {10.1007/s42064-017-0017-2}
}

@CONFERENCE{ZZ2024,
  author    = {Zheng, Y. and Zhao, M.},
  title     = {Universal method for designing periodic orbits by homotopy classes in the elliptic restricted three-body problem},
  booktitle = {Astrodyn},
  year      = {2024},
  volume    = {8},
  pages     = {175-188},
  doi       = {10.1007/s42064-023-0184-3}
}

@CONFERENCE{Y2022,
  author    = {Yuika, K. and Mitsuru, S.},
  title     = {Variational existence proof for multiple periodic orbits in the planar circular restricted three-body problem},
  booktitle = {Nonlinearity},
  year      = {2022},
  volume    = {35},
  number    = {3},
  pages     = {1431-1446},
  doi       = {10.1088/1361-6544/ac4c2b}
}

@CONFERENCE{C2023,
  author    = {Canales, D. and Perera, S.M. and Kurttisi, A. and et al.},
  title     = {A Low-Complexity Algorithm to Determine Trajectories Within the Circular Restricted Three-Body Problem},
  booktitle = {J Astrnaut Sci},
  year      = {2023},
  volume    = {70},
  number    = {6},
  pages     = {46-68},
  doi       = {10.1007/s40295-023-00416-5}
}

@CONFERENCE{F2024,
  author    = {Flavio, T. and Emmanuel, B. and Giacomo, A.},
  title     = {Global Optimization for trajectory Design via Invariant Manifolds in the Earth-Moon Circular Restricted Three-Body Problem},
  booktitle = {arXiv preprint},
  year      = {2024},
  note      = {2405.18916}
}

@CONFERENCE{YGI2025,
  author    = {Yamaguchi, K. and Gu, X.B. and Inamori, T. and  et al.},
  title     = {Feasibility of Orbital Capture of Near-Earth Asteroids Based on the Planar-Circular Restricted Three-body Problem},
  booktitle = {Adv Space Res},
  year      = {2025},
  volume    = {75},
  number    = {4},
  pages     = {3806-3819},
  doi       = {10.1016/j.asr.2024.12.001}
}

@CONFERENCE{PLH2025,
  author    = {Peng, L. and Liang, Y.Y. and He, X.J.},
  title     = {Transfers to Earth-Moon Triangular Libration Points by Sun-Perturbed Dynamics},
  booktitle = {Adv Space Res},
  year      = {2025},
  volume    = {75},
  number    = {3},
  pages     = {2837-2855},
  doi       = {10.1016/j.asr.2024.11.045}
}

@CONFERENCE{YG2020,
  author    = {Zang, Y. and Bao, G. and Ye, X. and Zhou, H.},
  title     = {Weak adversarial networks for high-dimensional partial differential equations},
  booktitle = {J. Comput. Phys},
  year      = {2020},
  volume    = {411},
  pages     = {109409},
  doi       = {10.1016/j.jcp.2020.109409}
}

@CONFERENCE{YL2024,
  author    = {Jiao, Y.L. and et al.},
  title     = {A Gaussian mixture distribution-based adaptive sampling method for physics-informed neural networks},
  booktitle = {Eng. Appl. Artif. Intell},
  year      = {2024},
  volume    = {135},
  pages     = {108770},
  doi       = {10.1016/j.engappai.2024.108770}
}

@CONFERENCE{RPK2019,
  author    = {Raissi, M. and Perdikaris, P. and Karniadakis, G.E.},
  title     = {Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations},
  booktitle = {J. Comput. Phys},
  year      = {2019},
  volume    = {378},
  pages     = {686-707},
  doi       = {10.1016/j.jcp.2018.10.045}
}

@CONFERENCE{LLF1998,
  author    = {Lagaris, I.E. and Likas, A. and Fotiadis, D.I.},
  title     = {Artificial neural networks for solving ordinary and partial differential equations},
  booktitle = {IEEE Trans. Neural Netw},
  year      = {1998},
  volume    = {9},
  number    = {5},
  pages     = {987-1000},
  doi       = {10.1109/72.712178}
}

@CONFERENCE{XDX2024,
  author    = {Zhou, X. and Qiao, D. and Li, X.},
  title     = {Neural Network-Based Method for Orbit Uncertainty Propagation and Estimation},
  booktitle = {T-AES},
  year      = {2024},
  volume    = {60},
  number    = {1},
  pages     = {1176-1193},
  doi       = {10.1109/TAES.2023.3332566}
}

@CONFERENCE{GMZ2023,
  author    = {Gong, B. and Ma, Y. and Zhang, W. and  et al.},
  title     = {Deep-neural-network-based angles-only relative orbit determination for space non-cooperative target},
  booktitle = {Acta Astronaut},
  year      = {2023},
  volume    = {204},
  pages     = {552-567},
  doi       = {10.1016/j.actaastro.2022.09.024}
}

@CONFERENCE{ZL2024,
  author    = {Zhou, X. and Li, X. and Zhang, Z.},
  title     = {Neural Network-Assisted Initial Orbit Determination Method for Libration Point Orbits},
  booktitle = {J. Aerosp. Eng},
  year      = {2024},
  volume    = {37},
  number    = {4},
  pages     = {04024046},
  doi       = {10.1061/JAEEEZ.ASENG-5482}
}

@CONFERENCE{AR2020,
  author    = {Rubinsztejn, A. and Sood, R.},
  title     = {Neural network optimal control in astrodynamics: Application to the missed thrust problem},
  booktitle = {Acta Astronaut},
  year      = {2020},
  volume    = {176},
  pages     = {192-203},
  doi       = {10.1016/j.actaastro.2020.05.027}
}

@CONFERENCE{HMD2021,
  author    = {Johnston, H. and Loz, M.W. and Mortari, D. },
  title     = {A Functional Interpolation Approach to Compute Periodic Orbits in the Circular-Restricted Three-Body Problem},
  booktitle = {Mathematics},
  year      = {2021},
  number    = {9},
  pages     = {1210},
  doi       = {10.3390/math9111210}
}

@CONFERENCE{EDD2022,
  author    = {Schiassi, E. and D'Ambrosio, A. and Drozd, K. and  et al.},
  title     = {Physics-informed neural networks for optimal planar orbit transfers},
  booktitle = {J. Spacecr. Rockets},
  year      = {2022},
  volume    = {59},
  number    = {3},
  pages     = {834-849},
  doi       = {10.2514/1.A35138}
}

@CONFERENCE{DAE2021,
author = {D'Ambrosio, A. and Schiassi, E. and Curti, Fabio. and Furfaro, Roberto.},
title = {Physics-Informed Neural Networks Applied to a Series of Constrained Space Guidance Problems},
booktitle = {Intervento presentato al convegno 31st AAS/AIAA Space Flight Mechanics Meeting tenutosi a Virtual},
year = {2021},
pages = {}

}
@CONFERENCE{RS2014,
  author    = {Ren, Y. and Shan, J.},
  title     = {A novel algorithm for generating libration point orbits about the collinear points},
  booktitle = {Celest Mech Dyn Astr},
  year      = {2014},
  volume    = {120},
  pages     = {57-75},
  doi       = {10.1007/s10569-014-9560-9}
}

@CONFERENCE{Z2022,
  author    = {Zhang, R.},
  title     = {A review of periodic orbits in the circular restricted three-body problem},
  booktitle = {J Syst Engand Electron},
  year      = {2022},
  volume    = {33},
  number    = {3},
  pages     = {612-646},
  doi       = {10.23919/JSEE.2022.000059}
}

@CONFERENCE{Z2022,
  author    = {D'Ambrosio, A. and Schiassi, E. and Curti, F. and Furfaro, R.,},
  title     = {Pontryagin Neural Networks with Functional Interpolation for Optimal Intercept Problems},
  booktitle = {MDPI Mathematics},
  year      = {2021},
  volume    = {9},
  number    = {9},
  pages     = {996},
  doi       = {10.23919/JSEE.2022.000059}
}

@CONFERENCE{GYW2023,
  author    = {Guo, J. and Yao, Y.and et al.},
  title     = {Pre-training strategy for solving evolution equations based on physics-informed neural networks},
  booktitle = {J. Comput. Phys},
  year      = {2023},
  volume    = {489},
  pages     = {112258},
  doi       = {10.1016/j.jcp.2023.112258}
}

@CONFERENCE{LGM2013,
  author    = {Lian, Y. and Gómez, G. and Masdemont, J.J. and  et al.},
  title     = {A note on the dynamics around the Lagrange collinear points of the Earth-Moon system in a complete Solar System model},
  booktitle = {Celest Mech Dyn Astr},
  year      = {2013},
  volume    = {115},
  pages     = {185-211},
  doi       = {10.1007/s10569-012-9459-2}
}

@CONFERENCE{LL2021,
  author    = {Lu, L. and Meng, X.H. and Mao, Z.},
  title     = {DeepXDE: A deep learning library for solving differential equations},
  booktitle = {SIAM review},
  year      = {2021},
  volume    = {63},
  number    = {1},
  pages     = {208-228},
  doi       = {10.1137/19M1274067}
}

@CONFERENCE{ZL2016,
  author    = {Zhang, H. and Li, S.},
  title     = {A general method for the generation and extension of collinear libration point orbits},
  booktitle = {Celest Mech Dyn Astr},
  year      = {2016},
  volume    = {126},
  pages     = {339-367},
  doi       = {10.1007/s10569-016-9698-8}
}

@CONFERENCE{M1969,
  author    = {Hénon, M.},
  title     = {Numerical Exploration of the Restricted Problem. V. Hill's Case: Periodic Orbits and Their Stability},
  booktitle = {Astron Astrophys},
  year      = {1969},
  volume    = {1},
  pages     = {223-238}
}

@CONFERENCE{LP2021,
  author    = {Lu, L. and Pestourie, R. and et al.},
  title     = {Physics-Informed Neural Networks with Hard Constraints for Inverse Design},
  booktitle = {SIAM},
  year      = {2021},
  volume    = {43},
  pages     = {1064-8275},
  doi       = {10.1137/21M1397908}
}

@CONFERENCE{CBE2025,
  author    = {Bihlo, E.C. and Bihlo, A. },
  title     = {Exactly conservative physics-informed neural networks and deep operator networks for dynamical systems},
  booktitle = {Neural Netw},
  year      = {2025},
  volume    = {181},
  pages     = {106826},
  doi       = {10.1016/j.neunet.2024.106826}
}

@CONFERENCE{AAS2021,
  author    = {Krishnapriyan, A. and Gholami, A. and et al.},
  title     = {Characterizing Possible Failure Modes in Physics-Informed Neural Networks},
  booktitle = {Advances in Neural Information Processing Systems},
  year      = {2021},
  volume    = {34},
  pages     = {26548-26560}
}

@CONFERENCE{KA2022,
  author    = {Haitsiukevich, K. and Ilin, A.},
  title     = {A Limited Memory Algorithm for Bound Constrained Optimization},
  booktitle = {arXiv preprint},
  year      = {2022},
  note      = {2204.05108}
}

@CONFERENCE{RPJC1995,
  author    = {Byrd, R.H. and Lu, P. and Nocedal, J. and Zhu, C.},
  title     = {Improved training of physics-informed neural networks with model ensembles},
  booktitle = {SIAM J. Sci. Comput},
  year      = {1995},
  volume    = {16},
  number    = {5},
  pages     = {1190-1208},
  doi       = {10.1137/0916069}
}
@CONFERENCE{GAO2022,
title = {The web of resonant periodic orbits in the Earth–Moon Quasi-Bicircular Problem including solar radiation pressure},
booktitle = {Commun nonlinear SCI},
volume = {111},
pages = {106480},
year = {2022},
issn = {1007-5704},
doi = {https://doi.org/10.1016/j.cnsns.2022.106480},
url = {https://www.sciencedirect.com/science/article/pii/S1007570422001307},
author = {Chen Gao and Josep J. Masdemont and Gerard Gómez and Jianping Yuan}
}
@CONFERENCE{WANG2022,
title = {Stability of the planar synchronous full two-body problem—The approach of periodic orbits},
booktitle = {Commun nonlinear SCI},
volume = {114},
pages = {106638},
year = {2022},
issn = {1007-5704},
doi = {https://doi.org/10.1016/j.cnsns.2022.106638},
url = {https://www.sciencedirect.com/science/article/pii/S1007570422002258},
author = {Wang,H.S.  and Xin, X.S. and Hou, X.Y  and Feng, J.L}
}

@CONFERENCE{PENG2017,
title = {Continuation of periodic orbits in the Sun-Mercury elliptic restricted three-body problem},
booktitle = {Commun nonlinear SCI},
volume = {47},
pages = {1-15},
year = {2017},
issn = {1007-5704},
doi = {https://doi.org/10.1016/j.cnsns.2016.11.005},
url = {https://www.sciencedirect.com/science/article/pii/S100757041630404X},
author = {H. Peng and X.L Bai and S.j Xu},
}

@CONFERENCE{SAQLAIN2023,
title = {Discovering governing equations in discrete systems using PINNs},
booktitle = {Commun nonlinear SCI},
volume = {126},
pages = {107498},
year = {2023},
issn = {1007-5704},
doi = {https://doi.org/10.1016/j.cnsns.2023.107498},
url = {https://www.sciencedirect.com/science/article/pii/S1007570423004197},
author = {Saqlain,S. and Zhu, W.  and Charalampidis,E.G.  and Kevrekidis P. G. },
}

@CONFERENCE{WANG2025,
title = {Multi-task learning enhanced deep neural networks for solving delay differential equations},
booktitle = {Commun nonlinear SCI},
pages = {109528},
year = {2025},
issn = {1007-5704},
doi = {https://doi.org/10.1016/j.cnsns.2025.109528},
url = {https://www.sciencedirect.com/science/article/pii/S1007570425009372},
author = {Wang,C.Y.  and Shi, F. and Di, Y.J  and Liang,H.},
}
@CONFERENCE{JMLR2015,
  title={Automatic differentiation in machine learning: a survey},
  author={Baydin,A.G.  and Pearlmutter, B.A.  and Radul, A.  and Siskind, J.M. },
  journal={J. Mach. Learn. Res.},
  year={2015},
  volume={18},
  pages={153:1-153:43},
  url={https://api.semanticscholar.org/CorpusID:3766791}
}

@CONFERENCE{WANG2026,
title = {Coaxial permanent magnetic coupling analysis based on physics-informed neural network with periodic fixed boundary conditions},
booktitle = {Applied Mathematical Modelling},
volume = {149},
pages = {116301},
year = {2026},

doi = {https://doi.org/10.1016/j.apm.2025.116301},
url = {https://www.sciencedirect.com/science/article/pii/S0307904X25003762},
author = {Wang, R.  and Hao, X.H.  and Zhang, L.P.  and Wu, W.c.  and Hou, S.B. },
}

@CONFERENCE{CELLETTI2025,
title = {Perturbative methods and synchronous resonances in Celestial Mechanics},
booktitle = {Applied Mathematical Modelling},
volume = {143},
pages = {116040},
year = {2025},

doi = {https://doi.org/10.1016/j.apm.2025.116040},
url = {https://www.sciencedirect.com/science/article/pii/S0307904X25001155},
author = {Celletti, A. and {De Blasi},I.  and {Di Ruzza}, S. },
}

@CONFERENCE{ZE2015,
title = {Classifying orbits in the restricted three-body problem},
booktitle = {Nonlinear Dynamics},
volume = {82},
pages = {1233-1250},
year = {2015},
doi = {10.1007/s11071-015-2229-4},
url = {https://doi.org/10.1007/s11071-015-2229-4},
author = {Zotos, and Euaggelos, E.},
}
