The subharmonic bifurcation solution of nonlinear Mathieu's equation and Euler dynamic buckling problems

DOI10.1007/BF02486668zbMath0732.73036MaRDI QIDQ3358313

Yu-Shu Chen, William F. Langford

Publication date: 1988

Published in: Acta Mechanica Sinica (Search for Journal in Brave)

zbMATH Keywords

detuningsmall nonlinearitiesdynamic systems theorydamping, excitationstable response diagrams for the nonlinear Mathieu equation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcation and buckling (74G60) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

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Cites Work

• Singularities and groups in bifurcation theory. Volume I
• Classification and unfoldings of degenerate Hopf bifurcations
• Symmetry and Stability in Taylor-Couette Flow
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