PERIODIC SOLUTIONS FOR A FOURTH-ORDER EQUATION AND APPLICATIONS IN A MODEL OF STRUCTURAL MECHANICS

DOI10.1142/S0218127404010011zbMath1084.37065OpenAlexW2064203764MaRDI QIDQ4669002

Xiao Li Hu, Ji-Bin Li

Publication date: 15 April 2005

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127404010011

zbMATH Keywords

homoclinic orbitfourth-order ordinary differential equationselastic strutsdeflection patternssingle-humped periodic solutionstopological shooting methods

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Dynamical systems in classical and celestial mechanics (37N05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (1)

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Cites Work

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• Galerkin approximations to static and dynamic localization problems
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• Asymptotic and Rayleigh–Ritz routes to localized buckling solutions in an elastic instability problem
• Spatial Patterns Described by the Extended Fisher--Kolmogorov Equation: Periodic Solutions
• Homotopy classes for stable periodic and chaotic patterns in fourth-order Hamiltonian systems

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