Nonlinear Dynamics

, Volume 94, Issue 2, pp 889–904 | Cite as

Nonlinear dynamics of a non-autonomous network with coupled discrete–continuum oscillators

  • Haicheng Zhang
  • Daolin XuEmail author
  • Shuyan Xia
  • Yousheng Wu
Original Paper


A network model of a multi-modular floating platform incorporated with a runway structure, viewed as a non-autonomous network with discrete–continuum oscillators, is developed for a general purpose of dynamic analysis. Numerical analysis shows the coupling effect between the two different types of oscillators on various complex dynamics, including sudden leaps, torus motions, beating vibrations, the synergetic effect of phase lock and anti-phase synchronizations. The amplitude death phenomenon, a suppressed weak oscillation state, is studied by using the fundamental solution derived by the averaging method. The parametric domain of the onset of amplitude death is illustrated to show the great significance to the stability design of the floating platform. The effect of the flexural rigidity of the runway on the distribution of amplitude death state is also discussed.


Non-autonomous network Discrete-continuum oscillators Floating airport Network dynamics Amplitude death 



This research work was supported by the National Natural Science Foundation of China (11702088, 11472100), Project funded by China Postdoctoral Science Foundation (2017M620344, 2018T110823) and the High-tech Ship Research Projects Sponsored by MIIT.


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Copyright information

© Springer Nature B.V. 2018

Authors and Affiliations

  • Haicheng Zhang
    • 1
  • Daolin Xu
    • 1
    Email author
  • Shuyan Xia
    • 1
  • Yousheng Wu
    • 2
  1. 1.State Key Laboratory of Advanced Design and Manufacturing for Vehicle BodyHunan UniversityChangshaPeople’s Republic of China
  2. 2.China Ship Scientific Research CenterWuxiPeople’s Republic of China

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