We also demonstrate the use of such projective integrators in a shooting boundary value problem formulation for the computation of "coarse limit cycles" of the macroscopic behavior, and the approximation of their stability through estimates of the leading "coarse Floquet multipliers".
Such identified features can be directly used for fast approximations of dynamic stability boundaries of slender curved structures when their geometric parameters or boundary conditions are varied.
Comparative finite element analyses reveal that apart from the cases involving transversal compression, where the application should be handled with care, the present solution procedure can serve to obtain good approximations of the stability behavior in the early postbuckling region with negligible computational effort.
In other cases, approximations of the stability regions can be proposed.
In this paper, the stability of periodical elastic motion of a flexible four bar crank rocker mechanism is analyzed using the first approximation of Liapunov's stability theorem and Floquet theory.
This study begins with an approximation of the ABL stability and thickness.
In this section we discuss approximation and stability of the solution of (1), or equivalently of (4).
Due to the use of the first-order Taylor series approximation, the stability of the vector RLS-based CFO, SFO, and CIR tracking scheme requires sufficiently small initial errors between the initial guesses and the true values of CIR, CFO, and SFO.
The log likelihood was estimated using the Gauss-Hermite quadrature approximation and stability of the estimates was tested by comparing using different numbers of quadrature points.
Since feedback is often collected using error-prone measurement mechanisms, for example, biased estimator or unbiased estimator, they adopted the knowledge of stochastic approximation and proved stability of the algorithms of single-time scale and two-time scale.
Under the approximation of rigid plates, the stability of triple junctions is defined by the relative plate velocity vectors1,2.
