... valve was manually controlled to confirm that severe slugging was mitigated. A bifurcation diagram was made to more clearly identify which flow this system has at each valve opening. Bifurcation diagrams have been used to plot the values of pressure versus the values of valve opening for the slugging...

... subsea system mooring system alt motion tanker surge sub-harmonic resonance bifurcation diagram alt fpso tanker oscillation stiffness amplitude alt oscillation cable tension alttanker motion floating production system upstream oil & gas vinylon coefficient Influence of Cable...

... is that one cannot just compare time series resulting from a few numerical simulations. Instead one can use bifurcation diagrams, which encapsulate a greater wealth of information about the system. Bifurcation diagrams for the complete model were available from our previous studies (see, for instance...

... calculated. The predicted dynamics for the system were calculated for relevant ranges of environmental parameters such as wind and current speeds, wave spectra, and respective angles of incidence. The influence of the draft of the vessels was also inspected. Results were summarized in bifurcation diagrams...

... numerical study of equilibria and their stability properties. Environmental parameters such as wind and current speed and incidence angles are varied within relevant ranges. These results are summarized in suitable bifurcation diagrams. The engineering robustness of stable solutions is assessed...

... hand, it has been also reported that low-frequency, subharmonic oscillations often occur in the motion of a structure with nonlinear moorings (e.g., Lean, 1971). mooring system monochromatic excitation phase portrait bifurcation diagram stiffness ratio upstream oil & gas nonlinearity...

... for studying such complex problems; the results can be effectively presented in the forms of parametric bifurcation diagrams. INTRODUCTION Behaviour of nonlinear dynamic systems has been studied by many researchers in the fields of mathematics and physics. Theories have been developed to describe...

... solutions, whereas a time simultation computes only stable orbits. This feature is used for the calculation of bifurcation diagrams where unstable solutions connect stable ones. In order to compute periodic solutions of Eq. 5 for a range of parameters 1', an algorithm for solving boundary value problems...

... subharmonic motion poincare point displacement effect time history compliant offshore structure compliant structure coexistence quasi-periodic motion bifurcation diagram acceleration tenn convective acceleration frequency range poincare map frequency power spectrum chaos chaotic...