Numerical computation of periodic responses of nonlinear large-scale systems by shooting method

DOI10.1016/J.CAMWA.2014.01.023zbMath1368.74076OpenAlexW2009601633MaRDI QIDQ2013731

S. Stoykov, Svetozar Margenov

Publication date: 9 August 2017

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2014.01.023

zbMATH Keywords

stabilitycontinuation methodmonodromy matrixFloquet theorysymmetry-breaking bifurcation point

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Vibrations in dynamical problems in solid mechanics (74H45) Stability and convergence of numerical methods for ordinary differential equations (65L20) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (5)

The harmonic balance method for bifurcation analysis of large-scale nonlinear mechanical systems ⋮ Numerical methods and parallel algorithms for computation of periodic responses of plates ⋮ Scalability of Shooting Method for Nonlinear Dynamical Systems ⋮ Convergence rates of harmonic balance method for periodic solution of smooth and non-smooth systems ⋮ Scalable parallel implementation of shooting method for large-scale dynamical systems. Application to bridge components

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• Normal Modes of Vibration for Non-Linear Continuous Systems

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