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Transient calculations verify prior conclusions reached from an equilibrium stability analysis, and the results exhibit meniscus oscillation and fluid recirculation for certain values of the parameters.
In the former case, up to three steady states are possible, whereas in the latter, five steady states can appear for certain values of the parameters.
It is shown that dramatic changes in the natural frequencies and mode shapes occur for certain values of the parameters of the attached elements.
It was also shown that for certain values of the parameters, especially at high velocities, the Galerkin method using stationary string eigenfunctions can give a poor prediction of the dynamic response.
Comparison with the exponential distribution, after transforming both distributions using the same dimensionless variables, shows that, for certain values of the parameters, narrow distributions of small-sized particles are observed.
We can prove this upper limit exists for certain values of the parameters just running the recursive function during a high number of pheromone updates.
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For certain values of the physical parameters frequency coalescence or the so-called phenomenon of frequency avoidance is observed, accompanied by substantial changes in the mode shapes.
As already mentioned, this network displays multistationarity for certain values of the reaction parameters.
For certain values of these parameters, an instability will propagate down the rod, and it will beat spontaneously1.
In particular, for certain values of model parameters, the mean excitatory synaptic drive has an asymptotically stable equilibrium point.
If you have a nonlinear system of a sufficient order (in continuous systems, that would mean greater or equal than three), your system might reach even more interesting dynamics for certain values of its parameters.
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for certain areas of the parameters
for specific values of the parameters
for certain combinations of the parameters
for certain classes of the parameters
for various values of the parameters
for different values of the parameters
for certain choices of the parameters
for certain arrangements of the parameters
for certain styles of the parameters
for certain sake of the parameters
for realistic values of the parameters
for extreme values of the parameters
for positive values of the parameters
for certain values of the numbers
for certain values of the frequencies
for certain cases of the parameters
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com