12,306 research outputs found
Homoclinic bifurcations in low-Prandtl-number Rayleigh-B\'{e}nard convection with uniform rotation
We present results of direct numerical simulations on homoclinic gluing and
ungluing bifurcations in low-Prandtl-number ()
Rayleigh-B\'{e}nard system rotating slowly and uniformly about a vertical axis.
We have performed simulations with \textit{stress-free} top and bottom
boundaries for several values of Taylor number () near the
instability onset. We observe a single homoclinic ungluing bifurcation, marked
by the spontaneous breaking of a larger limit cycle into two limit cycles with
the variation of the reduced Rayleigh number for smaller values of . A pair of homoclinic bifurcations, instead of one bifurcation, is
observed with variation of for slightly higher values of () in the same fluid dynamical system. The variation of the bifurcation
threshold with is also investigated. We have also constructed a
low-dimensional model which qualitatively captures the dynamics of the system
near the homoclinic bifurcations for low rotation rates. The model is used to
study the unfolding of bifurcations and the variation of the homoclinic
bifurcation threshold with .Comment: 6 pages, 7 figures, 1 tabl
Effect of a weak longitudinal modulation in refractive index on transverse localization of light in 1D disordered waveguide lattices
We report the enhancement of the effect of transverse localization of light
(TL) in presence of a weak longitudinal modulation of refractive index in
disordered waveguide lattices. In our chosen lattices, tunneling inhibition
along length favors to achieve the diffraction-free propagation along with the
simultaneous presence of transverse disorder. Results will be useful to tune
the threshold value of disorder to achieve localized light.Comment: 4 pages. arXiv admin note: text overlap with arXiv:1204.614
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