Publications | Siyuan (Simon) Xing

2025

Sparse separable Gaussian neural network for interpretable learning of stationary solutions of Fokker–Planck–Kolmogorov equations

Wei Yu, Yifan Xu, Xi Wang Ling Hong, and 2 more authors

Nonlinear Dynamics, 2025

DOI

CombOpNet: a Neural-network Accelerator for SINDy

Siyuan Xing, Qingyu Han, and Efstathios Charalampidis

Journal of Vibration Testing and System Dynamics, 2025

@article{CombOpNetVTSD2025,
  author = {Xing, Siyuan and Han, Qingyu and Charalampidis, Efstathios},
  title = {CombOpNet: a Neural-network Accelerator for SINDy},
  journal = {Journal of Vibration Testing and System Dynamics},
  year = {2025},
  volume = {9},
  issue = {1},
  pages = {1-20},
  doi = {10.5890/JVTSD.2025.03.001},
}

2024

Time-Embedding GRBFNN: Learning Transient Response of Stochastic Dynamical Systems

Siyuan Xing, and Jianqiao Sun

In International Design Engineering Technical Conference & Computer & Information, Aug 2024

DOI Bib

@inproceedings{IDETC2024,
  title = {Time-Embedding GRBFNN: Learning Transient Response of Stochastic Dynamical Systems},
  author = {Xing, Siyuan and Sun, Jianqiao},
  booktitle = {International Design Engineering Technical Conference {\&} Computer {\&} Information},
  year = {2024},
  month = aug,
  address = {Washington, D.C., USA.},
  doi = {10.1115/DETC2024-143365},
}

Radial Basis Function Neural Networks for Optimal Control with Model Reduction and Transfer Learning

Anni Zhao, Siyuan Xing, Xi Wang, and 1 more author

Engineering Applications of Artificial Intelligence, 2024

Bib

@article{ZHAO2024108899,
  title = {Radial Basis Function Neural Networks for Optimal Control with Model Reduction and Transfer Learning},
  journal = {Engineering Applications of Artificial Intelligence},
  volume = {136},
  pages = {108899},
  year = {2024},
  author = {Zhao, Anni and Xing, Siyuan and Wang, Xi and Sun, Jian-Qiao},
}

Separable Gaussian Neural Networks for High-dimensional Nonlinear Stochastic Systems

Xi Wang^*, Siyuan Xing, Jun Jiang, and 2 more authors

Probabilistic Engineering Mechanics , 2024

DOI Bib PDF

@article{WangSGNNFPK2024,
  title = {Separable Gaussian Neural Networks for High-dimensional Nonlinear Stochastic Systems},
  author = {Wang, Xi and Xing, Siyuan and Jiang, Jun and Hong, Ling and Sun, Jian-Qiao},
  year = {2024},
  volume = {76},
  pages = {103594 (12 pages)},
  journal = {Probabilistic Engineering Mechanics
      },
  doi = {10.1016/j.probengmech.2024.103594
      },
}

Learning Traveling Solitary Waves Using Separable Gaussian Neural Networks

Siyuan Xing, and Efstathios G Charalampidis

Entropy , 2024

DOI Bib

@article{XINGTravelingSoliton2024,
  title = {Learning Traveling Solitary Waves Using Separable Gaussian Neural Networks},
  author = {Xing, Siyuan and Charalampidis, Efstathios G},
  year = {2024},
  journal = {Entropy
      },
  volume = {26},
  issue = {5},
  doi = {10.3390/e26050396},
}

2023

Spikes Adding to Infinity on Period-1 Orbits to Chaos in the Rössler System

Siyuan Xing, and Albert C.J. Luo

International Journal of Bifurcation and Chaos, 2023

DOI Bib

@article{XingandXINGSpikeAdding2023,
  title = {Spikes Adding to Infinity on Period-1 Orbits to Chaos in the R\"ossler System},
  author = {Xing, Siyuan and Luo, Albert C.J.},
  year = {2023},
  issue = {13},
  volume = {33},
  pages = {2330033 (16 pages)},
  journal = {International Journal of Bifurcation and Chaos},
  doi = {10.1142/S0218127423300331},
  url = {https://www.worldscientific.com/doi/abs/10.1142/S0218127423300331},
}

Separable Gaussian Neural Networks: Structure, Analysis, and Function Approximations

Siyuan Xing, and Jianqiao Sun

Algorithm, 2023

DOI Bib PDF

@article{XingandSunSGNN2023,
  title = {Separable Gaussian Neural Networks: Structure, Analysis, and Function Approximations},
  author = {Xing, Siyuan and Sun, Jianqiao},
  year = {2023},
  issue = {10},
  volume = {16},
  pages = {453 (19 pages)},
  journal = {Algorithm},
  doi = {10.3390/a16100453},
  url = {https://doi.org/10.3390/a16100453},
}

Period-1 Motions to Twin Spiral Homoclinic Orbits in the Rössler System

Siyuan Xing, and Albert C.J. Luo

Journal of Computational and Nonlinear Dynamics, 2023

DOI Bib

@article{XingandLuoJCND2023,
  title = {Period-1 Motions to Twin Spiral Homoclinic Orbits in the R\"ossler System},
  author = {Xing, Siyuan and Luo, Albert C.J.},
  year = {2023},
  issue = {8},
  volume = {18},
  pages = {081008 (8 pages)},
  journal = {Journal of Computational and Nonlinear Dynamics},
  doi = {10.1115/1.4062201},
  url = {https://doi.org/10.1115/1.4062201},
}

Breathers in Lattices with Alternating Strain-hardening and Strain-softening Interactions

Marisa. M. Lee^*, Efstathios G. Charalampidis, Siyuan Xing, and 2 more authors

Physical Review E, 2023

DOI Bib

@article{PRLLeeLattice2023,
  title = {Breathers in Lattices with Alternating Strain-hardening and Strain-softening Interactions},
  author = {Lee, Marisa. M. and Charalampidis, Efstathios G. and Xing, Siyuan and Chong, Chris and Kevrekidis, Panayotis},
  year = {2023},
  volume = {107},
  issue = {5},
  pages = {054208},
  numpages = {18},
  journal = {Physical Review E},
  doi = {10.1103/PhysRevE.107.054208},
  url = {https://doi.org/10.1103/PhysRevE.107.054208},
}

Impulse Response of an Elastic Rod with a Mass-damper-spring Termination

Siyuan Xing, and Jianqiao Sun

Journal of Vibration Testing and System Dynamics, 2023

DOI Bib

@article{JVSTD2023XingandSun,
  title = {Impulse Response of an Elastic Rod with a Mass-damper-spring Termination},
  author = {Xing, Siyuan and Sun, Jianqiao},
  year = {2023},
  volume = {7},
  issue = {2},
  pages = {169-186},
  journal = {Journal of Vibration Testing and System Dynamics},
  doi = {10.5890/JVTSD.2023.06.005},
  url = {https://www.lhscientificpublishing.com/Journals/articles/DOI-10.5890-JVTSD.2023.06.005.aspx},
}

Mathematical Modeling and System Identification of a Piezo-actuated, Cantilever Beam with Interferometric Measurement

Jordan Kochavi^*, and Siyuan Xing

Journal of Vibration Testing and System Dynamics, 2023

DOI Bib

@article{JVSTD2023XingandKochavi,
  title = {Mathematical Modeling and System Identification of a Piezo-actuated, Cantilever Beam with Interferometric Measurement},
  author = {Kochavi, Jordan and Xing, Siyuan},
  year = {2023},
  volume = {7},
  issue = {4},
  pages = {447-461},
  journal = {Journal of Vibration Testing and System Dynamics},
  doi = {10.5890/JVTSD.2023.12.004},
  url = {https://www.lhscientificpublishing.com/Journals/articles/DOI-10.5890-JVTSD.2023.12.004.aspx},
}

2022

Coexisting Unstable Periodic Motions in the Rössler System

Siyuan Xing, and Albert C.J. Luo

In International Mechanical Engineering Congress and Exposition, Nov 2022

DOI Bib

@inproceedings{IMECE2022-1,
  title = {Coexisting Unstable Periodic Motions in the R\"ossler System},
  author = {Xing, Siyuan and Luo, Albert C.J.},
  booktitle = {International Mechanical Engineering Congress and Exposition},
  year = {2022},
  month = nov,
  address = {Columbus, OH, USA.},
  doi = {10.1115/IMECE2022-95826},
}

Mathematical Modelling of a Piezo-Actuated Cantilever Beam with Interferometer Feedback

Jordan Kochavi, and Siyuan Xing

In International Mechanical Engineering Congress and Exposition, Nov 2022

DOI Bib

@inproceedings{IMECE2022-2,
  title = {Mathematical Modelling of a Piezo-Actuated Cantilever Beam with Interferometer Feedback},
  author = {Kochavi, Jordan and Xing, Siyuan},
  booktitle = {International Mechanical Engineering Congress and Exposition},
  year = {2022},
  month = nov,
  address = {Columbus, OH, USA.},
  doi = {10.1115/IMECE2022-95819},
}

Period-1 Motions to Homoclinic Orbits in the Rössler System

Siyuan Xing, and Albert C.J. Luo

In International Design Engineering Technical Conference & Computer & Information, Aug 2022

DOI Bib

@inproceedings{IDETC2022-1,
  title = {Period-1 Motions to Homoclinic Orbits in the R\"ossler System},
  author = {Xing, Siyuan and Luo, Albert C.J.},
  booktitle = {International Design Engineering Technical Conference {\&}  Computer {\&}  Information},
  year = {2022},
  month = aug,
  address = {St. Louis, MO, USA.},
  doi = {10.1115/DETC2022-91029},
}

Multi-objective Optimization of an Elastic Rod with Viscous Termination

Siyuan Xing, and Jianqiao Sun

Mathematical and Computational Applications, 2022

DOI Bib

@article{MCJ2022XingandSun,
  title = {Multi-objective Optimization of an Elastic Rod with Viscous Termination},
  author = {Xing, Siyuan and Sun, Jianqiao},
  year = {2022},
  journal = {Mathematical and Computational Applications},
  issue = {6},
  volume = {27},
  pages = {94 (13 pages).},
  doi = {10.3390/mca27060094},
  url = {https://doi.org/10.3390/mca27060094},
}

On an Origami Structure of Period-1 Motions to Homoclinic Orbits in the Rössler System

Siyuan Xing, and Albert Luo

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2022

DOI Bib PDF

@article{XingandLuoChaos2022,
  title = {On an Origami Structure of Period-1 Motions to Homoclinic Orbits in the R\"ossler System},
  author = {Xing, Siyuan and Luo, Albert},
  year = {2022},
  journal = {Chaos: An Interdisciplinary Journal of Nonlinear Science},
  issue = {12},
  volume = {32},
  pages = {123121 (13 pages).},
  doi = {10.1063/5.0131970},
  url = {https://doi.org/10.1063/5.0131970},
}

Modeling and Control of the Locomotion of a Monopod Robot Mounted to a Vertical Slider

Siyuan Xing, Bradley Kwan^*, and Pengji Duan

Journal of Vibration Testing and System Dynamics, 2022

DOI Bib

@article{JVTSD2022,
  title = {Modeling and Control of the Locomotion of a Monopod Robot Mounted to a Vertical Slider
   },
  author = {Xing, Siyuan and Kwan, Bradley and Duan, Pengji},
  year = {2022},
  issue = {4},
  volume = {6},
  pages = {413-430},
  journal = {Journal of Vibration Testing and System Dynamics},
  doi = {10.5890/JVTSD.2022.12.005},
  url = {https://www.lhscientificpublishing.com/Journals/articles/DOI-10.5890-JVTSD.2022.12.005.aspx},
}

Periodic Cutting Motions in a Vibration-Assisted, Regenerative, Nonlinear Orthogonal Turning System

Siyuan Xing, and Albert C.J. Luo

International Journal of Dynamics and Control, 2022

DOI Bib

@article{IJDC2021,
  title = {Periodic Cutting Motions in a Vibration-Assisted, Regenerative, Nonlinear Orthogonal Turning System},
  author = {Xing, Siyuan and Luo, Albert C.J.},
  year = {2022},
  volume = {10},
  pages = {1-12},
  journal = {International Journal of Dynamics and Control},
  doi = {10.1007/s40435-021-00779-3},
  url = {https://doi.org/10.1007/s40435-021-00779-3},
}

2021

Sequential Bifurcation Trees to Chaos in Nonlinear Time-delay Systems

Siyuan Xing, and Albert C.J. Luo

Springer, Cham, 2021

DOI

A Sequential Order of Periodic Motions in a 1-D, Delayed, Nonlinear Dynamical System

Siyuan Xing, and Albert C.J. Luo

In Nonlinear Dynamics, Chaos, and Complexity: In Memory of Valentin Afraimovich (1945–2018), published by Springer, Cham, 2021

DOI Bib

@inbook{ValentinChapter,
  title = {A Sequential Order of Periodic Motions in a 1-D, Delayed, Nonlinear Dynamical System},
  author = {Xing, Siyuan and Luo, Albert C.J.},
  booktitle = {Nonlinear Dynamics, Chaos, and Complexity: In Memory of Valentin Afraimovich (1945--2018)},
  year = {2021},
  pages = {95-112},
  editor = {Volchenkov, Dimitri},
  series = {Understanding Complex Systems},
  publisher = {Springer, Cham},
  doi = {10.1007/978-981-15-9034-4_7},
}

Controlling the Dynamics of a Quadratic Oscillator Using Infinite Equilibria

Siyuan Xing, and Albert C.J. Luo

In International Mechanical Engineering Congress and Exposition, Aug 2021

DOI Bib

@inproceedings{IMECE2021-1,
  title = {Controlling the Dynamics of a Quadratic Oscillator Using Infinite Equilibria},
  author = {Xing, Siyuan and Luo, Albert C.J.},
  booktitle = {International Mechanical Engineering Congress and Exposition},
  year = {2021},
  month = aug,
  address = {Online, USA.},
  doi = {10.1115/IMECE2021-71998},
}

Understanding Dynamics of Infinite-Equilibrium Systems via a Quadratic Nonlinear System

Siyuan Xing, and Albert C.J. Luo

Journal of Vibration Testing and System Dynamics, 2021

DOI Bib

@article{JVTSD2021,
  title = {Understanding Dynamics of Infinite-Equilibrium Systems via a Quadratic Nonlinear System
   },
  author = {Xing, Siyuan and Luo, Albert C.J.},
  year = {2021},
  issue = {2},
  volume = {5},
  pages = {131-147},
  journal = {Journal of Vibration Testing and System Dynamics},
  doi = {10.5890/JVTSD.2021.06.003},
  url = {https://www.lhscientificpublishing.com/Journals/articles/DOI-10.5890-JVTSD.2021.06.003.aspx},
}

Sequential Periodic Motions in a Vibration-Assisted, Regenerative, Nonlinear Turning-Tool System

Siyuan Xing, and Albert C.J. Luo

International Journal of Bifurcation and Chaos, 2021

DOI Bib

@article{IJBC2021,
  title = {Sequential Periodic Motions in a Vibration-Assisted, Regenerative, Nonlinear Turning-Tool System},
  author = {Xing, Siyuan and Luo, Albert C.J.},
  year = {2021},
  issue = {12},
  volume = {31},
  pages = {2150186},
  journal = {International Journal of Bifurcation and Chaos},
  doi = {10.1142/S0218127421501868},
  url = {https://doi.org/10.1142/S0218127421501868},
}

2020

On the Dynamics of a Quadratic-oscillator-based, Infinite-equilibrium System

Siyuan Xing, Albert C.J. Luo, and Jianzhe Huang

In International Design Engineering Technical Conference & Computer & Information, Aug 2020

DOI Bib

@inproceedings{IDETC2020-1,
  title = {On the Dynamics of a Quadratic-oscillator-based, Infinite-equilibrium System},
  author = {Xing, Siyuan and Luo, Albert C.J. and Huang, Jianzhe},
  booktitle = {International Design Engineering Technical Conference {\&}  Computer {\&}  Information},
  year = {2020},
  month = aug,
  address = {Online, USA.},
  doi = {10.1115/DETC2020-22233},
}

Discontinuous Dynamics and Bifurcation for Morphing Aircraft Switching on the Velocity Boundary System

Jianzhe Huang, Xilin Fu, Zhongliang Jing, and 1 more author

In International Design Engineering Technical Conference & Computer & Information, Aug 2020

DOI Bib

@inproceedings{IDETC2020-2,
  title = {Discontinuous Dynamics and Bifurcation for Morphing Aircraft Switching on the Velocity Boundary System},
  author = {Huang, Jianzhe and Fu, Xilin and Jing, Zhongliang and Xing, Siyuan},
  booktitle = {International Design Engineering Technical Conference {\&}  Computer {\&}  Information},
  year = {2020},
  month = aug,
  address = {Online, USA.},
  doi = {10.1115/DETC2020-22008},
}

On the Analytical Modeling of a Resonant Fatigue Testing Rig

Leilei Chen^*, Siyuan Xing, and Xingzhong Xiong

Journal of Vibration Testing and System Dynamics, 2020

DOI Bib

@article{JVSTDFATIGUE2020,
  title = {On the Analytical Modeling of a Resonant Fatigue Testing Rig},
  author = {Chen, Leilei and Xing, Siyuan and Xiong, Xingzhong},
  year = {2020},
  issue = {4},
  pages = {389-399},
  volume = {4},
  journal = {Journal of Vibration Testing and System Dynamics},
  doi = {10.5890/JVTSD.2020.12.007},
  url = {https://www.lhscientificpublishing.com/journals/articles/DOI-10.5890-JVTSD.2020.12.007.aspx},
}

On Period-1 Motions to Chaos in a 1-dimensional, Time-delay, Nonlinear System

Siyuan Xing, and Albert C.J. Luo

International Journal of Dynamics and Control, 2020

DOI Bib

@article{IJDC1DTIMEDELAY2019,
  title = {On Period-1 Motions to Chaos in a 1-dimensional, Time-delay, Nonlinear System},
  author = {Xing, Siyuan and Luo, Albert C.J.},
  year = {2020},
  issue = {8},
  pages = {44-50},
  journal = {International Journal of Dynamics and Control},
  doi = {10.1007/s40435-019-00546-5},
  url = {https://doi.org/10.1007/s40435-019-00546-5},
}

2019

Period-1 Motions in a Periodically Forced, Nonlinear, Machine-tool System

Siyuan Xing, and Albert C.J. Luo

In International Mechanical Engineering Congress and Exposition, Nov 2019

DOI Bib

@inproceedings{IMECE2019,
  title = {Period-1 Motions in a Periodically Forced, Nonlinear, Machine-tool System},
  author = {Xing, Siyuan and Luo, Albert C.J.},
  booktitle = {International Mechanical Engineering Congress and Exposition},
  year = {2019},
  month = nov,
  address = {Salt Lake City, Utah, USA.},
  doi = {10.1115/IMECE2019-10771},
}

Regenerative Cutting Dynamics for a Periodically Forced Machine-tool System

Siyuan Xing, and Albert C.J. Luo

In International Design Engineering Technical Conference & Computer & Information, Aug 2019

DOI Bib

@inproceedings{IDETC2019,
  title = {Regenerative Cutting Dynamics for a Periodically Forced Machine-tool System},
  author = {Xing, Siyuan and Luo, Albert C.J.},
  booktitle = {International Design Engineering Technical Conference {\&}  Computer {\&}  Information},
  year = {2019},
  month = aug,
  address = {Anaheim, California, USA.},
  doi = {10.1115/DETC2019-97262},
}

Periodic Motions to Chaos in a 1-dimensional, Time-delay, Nonlinear System

Siyuan Xing, and Albert C.J. Luo

The European Physical Journal Special Topics, 2019

DOI Bib

@article{PM1DEUROJOUR2019,
  title = {Periodic Motions to Chaos in a 1-dimensional, Time-delay, Nonlinear System},
  author = {Xing, Siyuan and Luo, Albert C.J.},
  year = {2019},
  issue = {9},
  pages = {1747-1765},
  volume = {228},
  journal = {The European Physical Journal Special Topics},
  doi = {10.1140/epjst/e2019-800243-y},
  url = {https://doi.org/10.1140/epjst/e2019-800243-y},
}

On a Global Sequential Scenario of Bifurcation Trees to Chaos in a First-Order, Time-Delayed System

Siyuan Xing, and Albert C.J. Luo

International Journal of Bifurcation and Chaos, 2019

DOI Bib

@article{JOURNALOFBIFURCATION2019,
  title = {On a Global Sequential Scenario of Bifurcation Trees to Chaos in a First-Order, Time-Delayed System},
  author = {Xing, Siyuan and Luo, Albert C.J.},
  year = {2019},
  issue = {10},
  pages = {1950141 (39 pages)},
  volume = {29},
  journal = {International Journal of Bifurcation and Chaos},
  doi = {10.1142/S0218127419501414},
  url = {https://doi.org/10.1142/S0218127419501414},
}

Bifurcation Trees of Period-1 Motions in a Periodically Excited, Softening Duffing Oscillator with Time-delay

Siyuan Xing, and Albert C.J. Luo

International Journal of Dynamics and Control, 2019

DOI Bib

@article{SOFTNONDYNC2018,
  title = {Bifurcation Trees of Period-1 Motions in a Periodically Excited, Softening Duffing Oscillator with Time-delay},
  author = {Xing, Siyuan and Luo, Albert C.J.},
  year = {2019},
  issue = {3},
  pages = {842-855},
  volume = {7},
  journal = {International Journal of Dynamics and Control},
  doi = {10.1007/s40435-019-00520-1},
  url = {https://doi.org/10.1007/s40435-019-00520-1},
}

2018

Bifurcation Trees of Period-3 Motions to Chaos in a Time-delayed Duffing Oscillator

Albert C.J. Luo, and Siyuan Xing

In Regularity and Stochasticity of Nonlinear Dynamical Systems, published by Springer, Cham, 2018

DOI Bib

@inbook{RSNDSChapter,
  title = {Bifurcation Trees of Period-3 Motions to Chaos in a Time-delayed Duffing Oscillator},
  author = {Luo, Albert C.J. and Xing, Siyuan},
  booktitle = {Regularity and Stochasticity of Nonlinear Dynamical Systems},
  year = {2018},
  editor = {Volchenkov, Dimitri and Leoncini, Xavier},
  volume = {21},
  pages = {247-262},
  publisher = {Springer, Cham},
  doi = {10.1007/978-3-319-58062-3_10},
}

Time-delay Effects on Periodic Motions in a Duffing Oscillator

Albert C.J. Luo, and Siyuan Xing

In Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives., published by Springer, Cham, 2018

DOI Bib

@inbook{CFCDChapter,
  title = {Time-delay Effects on Periodic Motions in a Duffing Oscillator},
  author = {Luo, Albert C.J. and Xing, Siyuan},
  booktitle = {Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives.},
  year = {2018},
  editor = {Edelman, Mark and Macau, Elbert E. N. and Sanjuan, Miguel A. F},
  pages = {77-100},
  series = {Understanding Complex Systems},
  publisher = {Springer, Cham},
  doi = {10.1007/978-3-319-68109-2_5},
}

Periodic Motions in a First-Order, Time-Delayed, Nonlinear System

Siyuan Xing, and Albert C.J. Luo

In International Mechanical Engineering Congress and Exposition, Nov 2018

DOI Bib

@inproceedings{IMECE2018,
  title = {Periodic Motions in a First-Order, Time-Delayed, Nonlinear System},
  author = {Xing, Siyuan and Luo, Albert C.J.},
  booktitle = {International Mechanical Engineering Congress and Exposition},
  year = {2018},
  month = nov,
  address = {Pittsburgh, Pennsylvania, USA.},
  doi = {10.1115/IMECE2018-86824},
}

On Possible Infinite Bifurcation Trees of Period-3 Motions to Chaos in a Time-delayed, Twin-well Duffing Oscillator

Siyuan Xing, and Albert C.J. Luo

International Journal of Dynamics and Control, 2018

DOI Bib

@article{IJDC2018,
  title = {On Possible Infinite Bifurcation Trees of Period-3 Motions to Chaos in a Time-delayed, Twin-well Duffing Oscillator},
  author = {Xing, Siyuan and Luo, Albert C.J.},
  year = {2018},
  url = {https://doi.org/10.1007/s40435-018-0418-y},
  issue = {4},
  pages = {1429-1464},
  volume = {6},
  journal = {International Journal of Dynamics and Control},
  doi = {10.1007/s40435-018-0418-y},
}

2017

Analytical Prediction of Period-1 Motions in a Time-delayed, Softening Duffing Oscillator

Albert C.J. Luo, and Siyuan Xing

In International Mechanical Engineering Congress and Exposition, Nov 2017

DOI Bib

@inproceedings{IMECE2017,
  title = {Analytical Prediction of Period-1 Motions in a Time-delayed, Softening Duffing Oscillator},
  author = {Luo, Albert C.J. and Xing, Siyuan},
  booktitle = {International Mechanical Engineering Congress and Exposition},
  year = {2017},
  month = nov,
  address = {Tampa, Florida, USA.},
  doi = {10.1115/IMECE2017-70824},
}

Period-3 Motions in a Periodically Forced, Damped, Double-well Duffing Oscillator with Time-delay

Albert C.J. Luo, and Siyuan Xing

In International Design Engineering Technical Conference & Computer & Information, Aug 2017

DOI Bib

@inproceedings{IDETC2017,
  title = {Period-3 Motions in a Periodically Forced, Damped, Double-well Duffing Oscillator with Time-delay},
  author = {Luo, Albert C.J. and Xing, Siyuan},
  booktitle = {International Design Engineering Technical Conference {\&}  Computer {\&}  Information},
  year = {2017},
  month = aug,
  address = {Cleveland, Ohio, USA.},
  doi = {10.1115/DETC2017-67210},
}

Towards Infinite Bifurcation Trees of Period-1 Motions to Chaos in a Time-Delayed, Twin-Well Duffing Oscillator

Siyuan Xing, and Albert C.J. Luo

Journal of Vibration Testing and System Dynamics, 2017

DOI Bib

@article{TIBTP1MTTD,
  title = {Towards Infinite Bifurcation Trees of Period-1 Motions to Chaos in a Time-Delayed, Twin-Well Duffing Oscillator},
  author = {Xing, Siyuan and Luo, Albert C.J.},
  year = {2017},
  issue = {4},
  pages = {353-392},
  volume = {1},
  journal = {Journal of Vibration Testing and System Dynamics},
  doi = {10.5890/JVTSD.2017.12.006},
  url = {https://www.lhscientificpublishing.com/journals/articles/DOI-10.5890-JVTSD.2017.12.006.aspx},
}

Bifurcation Trees of Period-3 Motions to Chaos in a Time-Delayed Duffing Oscillator

Albert C.J. Luo, and Siyuan Xing

Nonlinear Dynamics, 2017

DOI Bib

@article{BTP3CTDFO,
  title = {Bifurcation Trees of Period-3 Motions to Chaos in a Time-Delayed Duffing Oscillator},
  author = {Luo, Albert C.J. and Xing, Siyuan},
  year = {2017},
  issue = {4},
  pages = {2831-2862},
  volume = {88},
  journal = {Nonlinear Dynamics},
  doi = {10.1007/s11071-017-3415-3},
  url = {https://doi.org/10.1007/s11071-017-3415-3},
}

Time-Delay Effects on Periodic Motions in a Periodically Forced, Time-Delayed, Hardening Duffing Oscillator

Albert C.J. Luo, and Siyuan Xing

Journal of Vibration Testing and System Dynamics, 2017

DOI Bib

@article{TDEPMPFTHDO,
  title = {Time-Delay Effects on Periodic Motions in a Periodically Forced, Time-Delayed, Hardening Duffing Oscillator},
  author = {Luo, Albert C.J. and Xing, Siyuan},
  year = {2017},
  issue = {1},
  pages = {73-91},
  volume = {1},
  journal = {Journal of Vibration Testing and System Dynamics},
  doi = {10.5890/JVTSD.2017.03.006},
  url = {https://www.lhscientificpublishing.com/Journals/articles/DOI-10.5890-JVTSD.2017.03.006.aspx},
}

2016

On Time-Delay Effects on Period-1 Motions in a Periodically Forced, Time-Delayed, Duffing Oscillator

Albert C.J. Luo, and Siyuan Xing

In International Mechanical Engineering Congress and Exposition, Nov 2016

DOI Bib

@inproceedings{IMECE2016,
  title = {On Time-Delay Effects on Period-1 Motions in a Periodically Forced, Time-Delayed, Duffing Oscillator},
  author = {Luo, Albert C.J. and Xing, Siyuan},
  booktitle = {International Mechanical Engineering Congress and Exposition},
  year = {2016},
  month = nov,
  address = {Phoenix, NC, USA.},
  doi = {10.1115/IMECE2016-66198},
}

On Complex Periodic Motions in a Time-delayed, Double-well Duffing Oscillator with Strong Excitation

Albert C.J. Luo, and Siyuan Xing

In International Design Engineering Technical Conference & Computer & Information, Aug 2016

DOI Bib

@inproceedings{IDETC2016,
  title = {On Complex Periodic Motions in a Time-delayed, Double-well Duffing Oscillator with Strong Excitation},
  author = {Luo, Albert C.J. and Xing, Siyuan},
  booktitle = {International Design Engineering Technical Conference {\&} Computer {\&} Information},
  year = {2016},
  month = aug,
  address = {Charlotte, NC, USA.},
  doi = {10.1115/DETC2016-59343},
}

Symmetric and Asymmetric Period-1 Motions in a Periodically Forced, Time-Delayed, Hardening Duffing Oscillator

Albert C.J. Luo, and Siyuan Xing

Nonlinear Dynamics, 2016

DOI Bib

@article{SASP1PTHDO,
  title = {Symmetric and Asymmetric Period-1 Motions in a Periodically Forced, Time-Delayed, Hardening Duffing Oscillator},
  author = {Luo, Albert C.J. and Xing, Siyuan},
  year = {2016},
  issue = {2},
  pages = {1141-1166},
  volume = {85},
  journal = {Nonlinear Dynamics},
  doi = {10.1007/s11071-016-2750-0},
  url = {https://doi.org/10.1007/s11071-016-2750-0},
}

On Frequency Responses of Period-1 Motions to Chaos in a Periodically Forced, Time-Delayed Quadratic Nonlinear System

Albert C.J. Luo, and Siyuan Xing

International Journal of Dynamics and Control, 2016

DOI Bib

@article{FRP1PTQNS,
  title = {On Frequency Responses of Period-1 Motions to Chaos in a Periodically Forced, Time-Delayed Quadratic Nonlinear System},
  author = {Luo, Albert C.J. and Xing, Siyuan},
  year = {2016},
  issue = {3},
  pages = {466-476},
  volume = {5},
  journal = {International Journal of Dynamics and Control},
  doi = {10.1007/s40435-015-0222-x},
  url = {https://doi.org/10.1007/s40435-015-0222-x},
}

Multiple Bifurcation Trees of Period-1 Motions to Chaos in a Periodically Forced, Time-Delayed, Hardening Duffing Oscillator

Albert C.J. Luo, and Siyuan Xing

Chaos, Solitons & Fractals, 2016

DOI Bib

@article{MBTP1PHDO,
  title = {Multiple Bifurcation Trees of Period-1 Motions to Chaos in a Periodically Forced, Time-Delayed, Hardening Duffing Oscillator},
  author = {Luo, Albert C.J. and Xing, Siyuan},
  year = {2016},
  pages = {405-434},
  volume = {89},
  journal = {Chaos, Solitons {\&} Fractals},
  doi = {10.1016/j.chaos.2016.02.005},
  url = {https://doi.org/10.1016/j.chaos.2016.02.005},
}

Analytical Predictions of Period-1 Motions to Chaos in a Periodically Driven Quadratic Nonlinear Oscillator with a Time-Delay

Albert C.J. Luo, and Siyuan Xing

Mathematical Modeling of Natural Phenomena, 2016

DOI Bib

@article{AP1PDQNOT,
  title = {Analytical Predictions of Period-1 Motions to Chaos in a Periodically Driven Quadratic Nonlinear Oscillator with a Time-Delay},
  author = {Luo, Albert C.J. and Xing, Siyuan},
  year = {2016},
  pages = {75-88},
  volume = {11},
  journal = {Mathematical Modeling of Natural Phenomena},
  doi = {10.1051/mmnp/201611206},
  url = {https://doi.org/10.1051/mmnp/201611206},
}

2015

Bifurcation Trees of Period-1 Motions to Chaos in a Quadratic Nonlinear Oscillator with Time-Delayed Displacement

Albert C.J. Luo, and Siyuan Xing

In International Mechanical Engineering Congress and Exposition, Nov 2015

DOI Bib

@inproceedings{IMECE2015,
  title = {Bifurcation Trees of Period-1 Motions to Chaos in a Quadratic Nonlinear Oscillator with Time-Delayed Displacement},
  author = {Luo, Albert C.J. and Xing, Siyuan},
  booktitle = {International Mechanical Engineering Congress and Exposition},
  year = {2015},
  month = nov,
  address = {Houston, TX, USA.},
  doi = {10.1115/IMECE2015-50029},
}