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Dynamics of flexible shells and Sharkovskiy's periodicity

Author

Listed:
  • Vadim A. Krysko
  • Jan Awrejcewicz
  • Natalya E. Saveleva
  • Anton V. Krysko

Abstract

Complex vibration of flexible elastic shells subjected to transversal and sign-changeable local load in the frame of nonlinear classical theory is studied. A transition from partial to ordinary differential equations is carried out using the higher-order Bubnov-Galerkin approach. Numerical analysis is performed applying theoretical background of nonlinear dynamics and qualitative theory of differential equations. Mainly the so-called Sharkovskiy periodicity is studied.

Suggested Citation

  • Vadim A. Krysko & Jan Awrejcewicz & Natalya E. Saveleva & Anton V. Krysko, 2006. "Dynamics of flexible shells and Sharkovskiy's periodicity," International Journal of Differential Equations, Hindawi, vol. 2006, pages 1-8, September.
    • Handle: RePEc:hin:jnijde:059709
    DOI: 10.1155/DENM/2006/59709
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