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Exact(2)
These scalings are tested then by exact numerical simulations.
The Bloch oscillations of the CPL have been observed in such a structure by exact numerical simulations.
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The exact numerical simulations by FEM and generalized multiparticle Mie theory also confirmed this.
The analytical predictions are verified for exemplary systems by exact numerical time integration.
By means of "exact" cycle-by-cycle numerical simulations, it is found that two types of bidirectional Hopf bifurcations that never occur in standalone buck converter are observed under the variations of some particular circuit parameters.
Compared to the exact solution provided by the PBN and analytical TASEP models, this level of error incurred by the numerical simulations might be acceptable.
The smaller the species, the higher is the capture rate by the larger particles as verified by numerical simulations.
We conjecture it is positive by some numerical simulations.
Finally, the results are validated by some numerical simulations.
The analytical results are confirmed by some numerical simulations.
This is also confirmed by our numerical simulations (Fig. 4b).
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