Journal
APPLIED MATHEMATICAL MODELLING
Volume 61, Issue -, Pages 744-749Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2018.05.003
Keywords
Nanoplate; Melnikov; Heteroclinic orbit; Chaos
Funding
- National Natural Science Foundation of China [11772148, 11572148]
- Natural Science Foundation of the Jiangsu Higher Education Institutions of China [16KJD110007]
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In this brief communication, Melnikov's method is adopted to investigate the chaotic behaviors of a nanoplate postulating nonlinear Winkler foundation. The critical curves separating the chaotic and non-chaotic regions are found. It is presented that the chaotic behaviors can occur when the parameters are chosen in the chaotic regions. Numerical simulations verify the theoretical analytical results. The results provide some inspiration and guidance for the analysis and dynamic design of this nanoplate. (C) 2018 Elsevier Inc. All rights reserved.
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