Bifurcation analysis of a nonlinear coupled pitch–roll ship

M.M. Kamel

Mathematics and Computers in Simulation (MATCOM), 2007, vol. 73, issue 5, 300-308

Abstract: The response of a two-degree-of-freedom system with quadratic coupling under a modulated amplitude sinusoidal excitation is studied and solved. The method of multiple scale perturbation technique is applied to obtain the bifurcation response equation near the combination resonance case in the presence of internal resonance of this system. The main attention is focused on the stability of the periodic solution and dynamical properties of local bifurcations of this system. The numerical solution and the effects of some parameters on the vibrating system are investigated and reported in this paper.

Keywords: Nonlinear system; Periodic solution; Bifurcation; Stability; Chaos (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:73:y:2007:i:5:p:300-308

DOI: 10.1016/j.matcom.2006.04.003

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