Prediction of bifurcations for external and parametric excited one-degree-of-freedom system with quadratic, cubic and quartic nonlinearities

DOI10.1016/S0378-4754(01)00292-0zbMath0995.65137OpenAlexW1998638584MaRDI QIDQ5944021

A. F. El-Bassiouny, Hassan Abdelhafez

Publication date: 25 March 2002

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4754(01)00292-0

zbMATH Keywords

numerical resultsperiodic solutionsFloquet theoryresonanceexcitationone-degree-of-freedom systemprediction of bifurcationssynchronization method

Mathematics Subject Classification ID

Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30)

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Resonance of a nonlinear forced system with two-frequency parametric and self-excitations ⋮ Periodic and non-periodic combination resonance in kinematically excited system of rods. ⋮ Single-mode control and chaos of cantilever beam under primary and principal parametric excitations ⋮ Effect of non-linearities in elastomeric material dampers on torsional oscillation control ⋮ Nonlinear stability and chaos in electrohydrodynamics ⋮ Modal interaction of resonantly forced oscillations of two-degree-of-freedom structure.

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