Physics
Scientific paper
Mar 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007njph....9...55s&link_type=abstract
New Journal of Physics, Volume 9, Issue 3, pp. 55 (2007).
Physics
4
Scientific paper
We present computer simulations of the spatio-temporal dynamics of the charge and current density distributions in a semiconductor nanostructure, the double barrier resonant tunnelling diode (DBRT), in the strongly nonlinear transport regime. Complex bifurcation scenarios, including bistability of stationary and oscillating space-time patterns, a subcritical Hopf bifurcation, a bifurcation by condensation of paths of spatially inhomogeneous limit cycles, and spatio-temporal period-doubling cascades to chaos, are revealed. Stable breathing, spiking, or partially homogeneous filamentary patterns are found in the dependence of the time-scale separation of the two dynamic variables. Our model is representative for a large class of globally coupled bistable reaction diffusion systems of activator inhibitor type in two spatial dimensions.
Schöll Eckehard
Stegemann G.
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