Numerical mountain pass periodic solutions of a nonlinear spring equation.

DOI10.1016/S0898-1221(98)00096-0zbMath1094.34524OpenAlexW2046792059MaRDI QIDQ1608428

R. Smith

Publication date: 6 August 2002

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(98)00096-0

zbMATH Keywords

Mountain pass algorithmDual variational formulationNonlinear spring

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Numerical computation of solutions to single equations (65H05) Hyperbolic equations and hyperbolic systems (35L99)

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Cites Work

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• Large scale oscillatory behaviour in loaded asymmetric systems
• Existence and stability of large scale nonlinear oscillations in suspension bridges
• A mountain pass method for the numerical solution of semilinear wave equations
• Traveling waves in a nonlinearly suspended beam: Theoretical results and numerical observations
• Dual variational methods in critical point theory and applications
• Numerical mountain pass solutions of a suspension bridge equation
• The Structure of the Solution Set for Periodic Oscillations in a Suspension Bridge Model
• Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
• A mountain pass method for the numerical solution of semilinear elliptic problems

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