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The Existence Stability and Approximate Expressions of Periodic Solutions of Strongly Nonlinear Nonautonomous Systems with Multi-Degree-of-Freedom

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Abstract

Based upon the conservation of average energy a theorem about the periodic solutions of strongly nonlinear nonautomous systems with multi-degree-of freedom is proved. This theorem can not only decide the existence and stability of the periodic solutions, but at the same time can also give their first-order and second-order approximate expressions.

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Authors and Affiliations

  1. Department of Mechanics, School of Mechanical Engineering and Applied Electronic Technology, Beijing, University of Technology, Beijing, 100022, P.R. China

    Li Li & Ye Hongling

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  1. Li Li
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  2. Ye Hongling
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Li, L., Hongling, Y. The Existence Stability and Approximate Expressions of Periodic Solutions of Strongly Nonlinear Nonautonomous Systems with Multi-Degree-of-Freedom. Nonlinear Dyn 46, 87–111 (2006). https://doi.org/10.1007/s11071-006-9018-z

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  • DOI: https://doi.org/10.1007/s11071-006-9018-z

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