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One can sometimes use additional structure such as weak dissipation and weak coupling of the oscillators to perform a semi-analytic reduction to phase oscillators; see for example [103, 104].
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Moreover, the plasma ion to electron temperature ratio in this plasmaspheric region is such that SMS waves exhibit weak enough dissipation (T e > 2T i and γ /ω ~ 10).
A wing-wake interaction which occurs at low β and high Ref due to weak vortex dissipation and presence of vortex dipole at the trailing edge acting in tandem can lead to achieving high propulsion efficiency.
The weak frictional dissipation at low pressures (P < 3 atm) is attributed to hydration lubrication arising from the hydrated, negatively charged HA segments sliding past each other, where the low friction is due to the fluid nature of the bound hydration layers.
This enhanced deformation capacity is most evident in the slotted wall with the weakest energy dissipation links, which did not sustain damage to the RC components under a drift ratio of 1/100, and failed under a drift ratio of 1/36.
The sandwich material, with the heavy agglomerated cork having a density of 310 kg/m3 is characterised by a weaker energy dissipation capacity, by about 3.72% for impact test and 3.29% for indentation one, than the sandwich with lighter cork (160 kg/m3).
Compared with the new designed structures, seismic performance of the low-ductility ones is worse, with poor energy dissipation, weak collapse resistance and brittle failure modes.
When the dissipation is weak or absent at the characteristic dynamical time scales of the system, the balance between nonlinearity and dissipation is weak at the characteristic dynamical time scales of the system, the balance between nonlinearity and dissipation effects can result in the formation of a symmetrical SWs.
This paper exploits the large deviations approach for estimating the first-exit time for a class of non-linear oscillatory systems with energy-dependent dissipation and weak noise.
When the coupling is weak (γ < 1), dissipation effects dominate, coherence effects are negligible on average and normal SEA approaches give accurate estimates of the coupling power.
Turbulent advection, small-scale dissipation, and weak forcing terms are split apart and treated independently, so that the overall scheme is still first order.
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