Bifurcations of nonlinear normal modes via the configuration domain and the time domain shooting methods

DOI10.1016/j.cnsns.2014.06.008zbMath1304.65178OpenAlexW1965236157MaRDI QIDQ2513857

Feng-Xia Wang

Publication date: 29 January 2015

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2014.06.008

zbMATH Keywords

continuation methodshooting techniqueFloquet multipliernonlinear normal modes

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Cites Work

• The numerical solution of unstable ordinary differential equations
• Nonlinear normal modes and their bifurcations for an inertially coupled nonlinear conservative system
• Sensitivity analysis for dynamic mechanical systems with finite rotations
• The Normal Modes of Nonlinear n-Degree-of-Freedom Systems
• Normal Modes for Non-Linear Vibratory Systems
• Nonsimilar Normal Mode Vibrations of Nonlinear Systems Having Two Degrees of Freedom
• The Numerical Solution of Linear Boundary Value Problems
• Numerical solution of nonlinear two-point boundary problems by finite difference methods
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