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A Bifurcation Analysis of the Quadratically Damped Mathieu Equation and Its Applications to the Dynamics of Submarine Towed-Array Lifting Devices
Bifurcation Analysis Quadratically Damped Mathieu Equation Applications Dynamics Submarine Towed-Array Lifting Devices
2015/8/27
This work concerns the dynamics of towed array lifting devices (LFDs), which help to maintain the position of a tow line being dragged behind a vessel.
Bifurcations in a Mathieu equation with cubic nonlinearities:Part II
Mathieu equation Bifurcations Averaging
2015/8/27
We found that a degenerate bifurcation point occurs in the resulting slow flow and some of the bifurcations near this point were looked at. In this work we present additional results concerning the bi...
2:1 Resonance in the delayed nonlinear Mathieu equation
Averaging Degenerate Hopf Delay Nonlinear Mathieu Parametric excitation
2015/8/27
We investigate the dynamics of a delayed nonlinear Mathieu equation:¨ x + (δ + εα cost)x + εγx 3 = εβx(t − T) in the neighborhood of δ = 1/4. Three different phe-nomena are combined in this syst...