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In other words, you waste more time and achieve less the longer you plough on without external input.
The proposed sets of criteria also guarantee exponential stability for switched multilayer dynamic neural networks without external input.
These results represent an important step in understanding reservoir biodegradation, revealing that anaerobic and aerobic biodegradation can indeed occur without external input of oxygen.
(Compare also with Fig. 3 of the companion paper [24] which shows the avalanche size distribution in the case without external input).
To uncover the systematic way in which a cellular (I_{text{h}}) current can control the properties of patterns at the tissue level, we focus next on a one-dimensional version of the model without external input.
The current I injected into the cell consisted of a noise current Inoise, and incoming synapse current Iexc, where Inoise is a Gaussian noise causing a cell without external input to fire randomly.
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This figure compares ASM scalar residuals obtained with daily calibration (ASM_V data product) versus single calibrations performed with or without external inputs to compensate for the seasonal effects.
A negative value for ΔG indicates that a reaction can proceed spontaneously without external inputs, while a positive value indicates that it will not.
A major improvement is demonstrated in the evolution of the data taking into account external inputs: a reduction by a factor of 5 in amplitude is found compared to the long-term stability characteristics of the single calibrated data without external inputs.
In spite of dealing a similar reconstruction of physical network, we use the synchronization pattern induced by a complex network system without external inputs whereas Timme M. in [ 18] use the method of analyzing the response dynamics of the network system upon perturbation.
One is for the systems without any external input, and the other is for the systems with the same external input.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com