For a given system parameters set, different types of stable K : L motions as well as chaotic motions can co-exist.
By using a physically derived PDE model to describe the system, parameter sets consistent across experiments are obtained, even when phenomena such as damping due to electric circuits affect the system dynamics.
To enhance the accuracy and efficiency of pest quarantine process, a control scheme for performing start-up procedure of the system, parameter setting and calibration of the X-ray source and line-scan sensor, and automatic inspection for pest were developed.
Moreover, the algorithm preference must be analyzed in the context of concrete system parameter setting, e.g., frame structure and concrete M and K values.
To characterize the neutral solution spaces, we propose a Monte Carlo (MC) random walk process [ 33], which is sped up by a nonlinear optimization algorithm that allows us to assess S-system parameter sets (forming the "neutral space") that give the system a similar dynamical behavior as it had been measured experimentally in the form of time series data.
In order to ameliorate the expensive combinatorial issue of assessing the trajectories of the recoupled systems, the parameter set for each metabolite generated from the MC process was randomly selected and the resulting system numerically integrated.
We applied the analysis to the tryptophan operon system for the parameter set in Table 4. Furthermore, for each parameter p in Table 4, we varied it over a wide range around its nominal value (from p × 10-2 to p × 10) while fixing the other parameters.
Before the analysis of the interacting systems, the instrument parameter set (such as skimmer voltages, trap drive, octopole RF amplitude, octopole delta, lenses voltages, capillary voltage, etc).
When varying the parameters, or in this case operating point, difficulties in automating the process of relating modes from a linear system derived at one parameter set to the next exists.
Second, an optimization algorithm is applied to this algebraic system, leading to an optimal parameter set that matches the algebraic equations with the observed systems dynamics.
