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Using perturbation analysis and exploiting separation of time scales, we perform dimensionality reduction of this strongly nonlinear system.
We also briefly indicate how one can profit from the separation of time and actions when incorporating more general, non-Markovian distributions.
The results suggest a separation of time scales between creep stress relaxations and slow microstructural changes make the key contribution to snow hardening.
In atmospheric flow situations typical of a small-scale atmospheric thermal, a separation of time scales exists between the fast sound wave time scale and the advective time scale.
The separation of time and spatial variables has been performed for the differential equation of motion, and then the spatial solution in a segment of uniform cross-section has been expressed in a closed form.
In our analysis, we utilised the separation of time scales in system (1).
Similar(16)
The separation of time-scales of ~1 order of magnitude between the slowest mode and the faster modes in the fine-grained model affords a separation into two unique states.
The efficiency of alternative optimization formulations is compared; we see that it can be enhanced by exploiting a separation of time-scales in the system dynamics.
Starting from classical absorbing boundary conditions, we propose a method for the separation of time-dependent scattered wave fields due to multiple sources or obstacles.
This modification allows for a more marked separation of time-scales during the early dynamics, and thus describes a system more accurately approximated by a singular limit prediction (Fig. 14b).
A separation of time-scales method is thus ideally suited to analysing this phenomenon, though we also note that more numerical techniques based upon stochastic freezing [33] could also be utilised.
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CEO of Professional Science Editing for Scientists @ prosciediting.com