In general, we controlled for age and calendar year by including these as additional time scales and by presenting age stratified results.
Recognizing the aperiodic nature of non-stationary oscillations, the new formulation is presented by adding an additional, slow time scale beside time scales of the nonlinear system, which generally correspond to the incommensurate nonlinear frequencies of the response.
Additional analysis of time scale is in Discussion.
We study analytically transient orbits resulting as perturbations of the homoclinic orbit in the weakly damped system, and show that this yields an additional slow-time scale in the averaged dynamics, and leads to optimal targeted energy transfer from the linear oscillator to the nonlinear energy sink in a single "super-slow" half-cycle.
Simulation models can provide additional information on the time scale and the way that landscapes respond to human interference.
The biological relevance of this enrichment remains to be tested, but suggests an additional, as yet, uncharacterized time scale.
With this relationship it is possible to translate the estimated genetic parameters for survival to the survival time scale (see Additional file 2).
Genetic parameters were expressed on the survival time scale (see Additional file 1), which demonstrates that it is possible to translate the variance components estimated with RMM.t to STM.
The parameters of the disease natural history, which are modeled using either a continuous or phase-partitioned time scale (see Additional file 1: Table S1), have been estimated from household random sampling data [ 27, 33, 47], viral shedding profiles from experimental control studies [ 23, 43, 48, 49], and case time series reported for 2009 H1N1 [ 36, 46].
Dividing the localities and curating the fossils within at this finer scale required additional time and attention, but will be worth it according to invertebrate paleontologists familiar with the collection.
