In Figure 1, we illustrate this decomposition in a simple schematic network with three eigenvectors whose amplitudes change on a fast, intermediate and slow timescale respectively.
Each eigenvector has an amplitude that varies in time with a single timescale given by the corresponding eigenvalue; here the blue, green and red eigenvectors have a fast, intermediate and slow timescale, respectively.
To test whether independent coding might account for this observation, we investigated the behavior of the fast and slow slopes of population activity (as shown in Figure 3B), representing assembly propagation at theta timescales and behavioral timescales, respectively (i.e., v p and v).
Figure 2 The collisions between two waves with different velocities for (pmb{c=0.5}) and (pmb{c=5}), respectively, and various timescales for (pmb{t=0.08}), (pmb{t=0.1}), and (pmb{t=0.2}), respectively.
In what follows we shall call "inter-decadal" and "sub-centennial" the two oscillatory constituents at timescales of 20 30 and 60 90 years, respectively.
For late time, thermally activated quantities such as the dislocation mobility and nucleation rate set the timescale and control the algebraic behavior, respectively.
The nudging tendency has the form −(X − XR)/τ0, where τ0 = 24 h is the relaxational timescale and X and XR are, respectively, the model and reanalysis spectral vorticity, divergence, or temperature coefficients (Kharin and Scinocca 2012).
η is the mass fraction of cold clouds where the accretion process occurs, τSN and τacc are the timescales of dust destruction and accretion, respectively.
During this period, the source exhibits two different modes of flux variability with characteristic timescales of ∼75 and ∼140 days, respectively.
Child deaths from pneumonia and septicemia/meningitis occurred at similar timescales (median 41 and 79 days, respectively).
In this study, the short-term and long-term rate estimates were defined and calculated over a timescale of 10 years, and 30 Myr, respectively.
