Nontrivial Periodic Solutions of an -Dimensional Differential System and Its Application
Two criteria are constructed to guarantee the existence of periodic solutions for a second-order -dimensional differential system by using continuation theorem. It is noticed that the criteria established are found to be associated with the system’s damping coefficient, natural frequency, parametric...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/140173 |
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| Summary: | Two criteria are constructed to guarantee the existence of periodic solutions for a second-order -dimensional differential system by using continuation theorem. It is noticed that
the criteria established are found to be associated with the system’s damping coefficient, natural
frequency, parametrical excitation, and the coefficient of the nonlinear term.
Based on the criteria obtained, we investigate the periodic motions of the simply supported at
the four-edge rectangular thin plate system subjected to the parametrical excitation. The effectiveness of the criteria is validated by corresponding numerical simulation. It is found that the existent
range of periodic solutions for the thin plate system increases along with the increase of the ratio of
the modulus of nonlinear term’s coefficient and parametric excitation term, which generalize and
improve the corresponding achievements given in the known literature. |
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| ISSN: | 1085-3375 1687-0409 |