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To begin with we consider the solution of the problem in a phase plane.
By conducting a phase plane analysis and through some calculations, we obtain the analytical solutions of the equilibrium equation.
The NCT is determined using an open-loop time response of the mechanism and is represented on a phase plane.
Smoothed time histories of mean square velocity and displacement are plotted on a phase plane.
A phase plane invariant of the Lorenz and other systems, undergoing chaos, has been presented.
So next, we attempted a phase plane reconstruction [10] to see how we could leverage differences in temporal structure of the smooth gait and sharper blood pressure.
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It is a challenge to maintain the vehicle's stability at the cost of the minimum energy when the vehicle is cornering, this paper proposes a phase plane-based controller for EVs, focusing on the energy-efficient upper-level yaw stability control.
For the reference values of the parameters we have done a phase-plane analysis; see Fig. 4.
We introduce in the inner region ℰ of a phase-plane for (2.7) a system of modified polar coordinates ( θ, E ) with center in the origin.
Using a phase-plane analysis method, we first prove the existence of an increasing traveling wave solution in (C^{1}(mathbb{R})).
Based on a phase-plane analysis, we manage to deduce the global bifurcation properties and to solve the boundary-value problem analytically.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com