Applied Mathematics and Mechanics

, Volume 24, Issue 3, pp 261–273 | Cite as

Coexisting periodic orbits in vibro-impacting dynamical systems

  • Li Qun-hong
  • Lu Qi-shao


A method is presented to seek for coexisting periodic orbits which may be stable or unstable in piecewise-linear vibro-impacting systems. The conditions for coexistence of single impact periodic orbits are derived, and in particular, it is investigated in details how to assure that no other impacts will happen in an evolution period of a single impact periodic motion. Furthermore, some criteria for nonexistence of single impact periodic orbits with specific periods are also established. Finally, the stability of coexisting periodic orbits is discussed, and the corresponding computation formula is given. Examples of numerical simulation are in good agreement with the theoretic analysis.

Key words

vibro-impact system periodic orbit existence stability 

Chinese Library Classification

O175 O322 

2000 MR Subject Classification

70K50 70K20 


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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 2003

Authors and Affiliations

  • Li Qun-hong
    • 1
  • Lu Qi-shao
    • 1
  1. 1.School of ScienceBeijing University of Aeronautics and AstronauticsBeijingPR China

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