1,721,000 research outputs found
Time averaging of global attractorsfor nonautonomous wave equations with singularlyoscillating external forces
No full textAveraging of nonautonomous damped wave equations with singularly oscillating external forces
No full textWe consider, for
and small, the nonautonomous weakly damped wave
equation with a singularly oscillating external force
together with the {\it averaged} equation
Under suitable assumptions on the nonlinearity and the external force,
we prove the uniform (w.r.t.\ ) boundedness of
the attractors in the weak energy space.
If , we establish the convergence of the attractor
of the first equation to the attractor of the second one,
as . On the other hand,
if ,
this convergence may fail.
When is exponential, then the convergence
rate of to is controlled by ,
for some and some
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
- …
