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Non-linear normal modes and their bifurcation of a class of systems with three double of pure imaginary roots and dual internal resonances

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Publication:873270
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DOI10.1016/S0020-7462(02)00124-5zbMath1348.70062MaRDI QIDQ873270

Wu Zhiqiang, Chen Yushu, Li Xinye

Publication date: 29 March 2007

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)


zbMATH Keywords

Cubic non-linear systemsDual internal resonanceMode bifurcationMode couplingNon-linear normal modes


Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Nonlinear modes (70K75)


Related Items (2)

Nonlinear normal modes of a shallow arch with elastic constraints for two-to-one internal resonances ⋮ Bifurcation of coupled-mode responses by modal coupling in cubic nonlinear systems




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