Erratum: Order-parameter flow in the fully connected Hopfield model near saturation
A C C Coolen, David C. Sherrington · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1994
An unfortunate mistake occurred in the paper.Figure 1 which appeared actually corresponds to the localized mode with the frequency cop& &co & ct)+ -= 2rop, Np2/(3')pz ct)o]), where one of the envelope functions has nonvanishing asymp-totics for ~n~-+ ac.The correct localized pattern with the frequency lying within the linear gap, i.e. , for coo2 & co & coo" is presented below.2.0 -2.0 3.0 0.0 ~II !lE a A S iF Al-I 0 4 FIG. 1.Localized patterns corresponding to discrete gap solitons at @=0. 08 and e'=10.0:(a) the mode centered at a light parti- cle, and (b) the mode centered at a heavy particle.Solid and dashed lines are used to show envelopes of heavy and light particles, re- spectively.These curves are close to the analytical solutions of Ref.[10]found in the continuous approximation.