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Subharmonic Resonance in the Nonlinear Mathieu Equation
Subharmonic Resonance Nonlinear Mathieu Equation
2015/8/27
Subharmonic Resonance in the Nonlinear Mathieu Equation.
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...
The Damped Nonlinear Quasiperiodic Mathieu Equation Near 2:2:1 Resonance
parametric excitation quasiperiodic resonance
2015/8/27
Byusingadoubleperturbationmethodwhichassumesthatbothε andμaresmall,we approximate analytical conditions for the existence and bifurcation of nonlinear quasiperiodic motions in the neighborhood of the ...
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...