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We propose a heuristic algorithm to find the boundary nodes which are connected in a boundary cycle of a location-free, low density (average degree 5 6), randomly deployed WSN.
This is somewhat similar to that in [8, 16] where the orbits of a three-dimensional discrete competition models approach the boundary cycle.
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By the describing function method, it is shown that the lower boundary for limit cycle existence, in the backlash gap [rad] - dry friction moment [Nm] plane, is a straight line starting in the origin.
By the describing function method, it is shown for this case that the lower boundary for limit cycle existence, in the backlash gap [rad] – dry friction moment [Nm] plane, is a straight line starting in the origin.
The controller is designed to extend flutter boundary and suppress limit cycle oscillation (LCO) of a low aspect ratio rectangular nonlinear structural wing.
In conclusion, we have the following main results for the boundary order-1 limit cycle.
Thus, the boundary order-1 limit cycle ((x^{T}(t), 0)) is globally attractive.
Figure 8 Stability of boundary order-1 limit cycle (pmb{(x^{T}(t),0)}).
The boundary order-1 limit cycle ((x^{T}(t), 0)) is unstable for (SC11) and (SC2).
Thus, the boundary order-1 limit cycle is globally stable if (tau=0) and (A_{h}neq0) in case (SC123).
The boundary order-1 limit cycle ((x^{T}(t), 0)) is globally asymptotically stable for (SC123), and it is locally asymptotically stable for (SC12).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com