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Single-pulse chaotic dynamics of functionally graded materials plate

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Abstract

Single-pulse chaos are studied for a functionally graded materials rectangular plate. By means of the global perturbation method, explicit conditions for the existence of a Silnikov-type homoclinic orbit are obtained for this system, which suggests that chaos are likely to take place. Then, numerical simulations are given to test the analytical predictions. And from our analysis, when the chaotic motion occurs, there are a quasi-period motion in a two-dimensional subspace and chaos in another two-dimensional supplementary subspace.

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Authors and Affiliations

  1. College of Mathematics and Information Science, Henan Polytechnic University, 454000, Jiaozuo, China

    Yu-Gao Huangfu

  2. Department of Mathematics, Nanjing University of Aeronautics and Astronautics, 210016, Nanjing, China

    Fang-Qi Chen

Authors
  1. Yu-Gao Huangfu
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  2. Fang-Qi Chen
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Corresponding author

Correspondence to Yu-Gao Huangfu.

Additional information

The project was supported by the National Natural Science Foundation of China (11172125, 11202095 and 11201226), and Natural Science Foundation of Henan, China (2009B110009, B2008-56 and 649106).

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Huangfu, YG., Chen, FQ. Single-pulse chaotic dynamics of functionally graded materials plate. Acta Mech Sin 29, 593–601 (2013). https://doi.org/10.1007/s10409-013-0054-x

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  • DOI: https://doi.org/10.1007/s10409-013-0054-x

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