کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4372488 1617100 2013 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Interaction of noise supported Ising–Bloch fronts with Dirichlet boundaries
موضوعات مرتبط
علوم زیستی و بیوفناوری علوم کشاورزی و بیولوژیک بوم شناسی، تکامل، رفتار و سامانه شناسی
پیش نمایش صفحه اول مقاله
Interaction of noise supported Ising–Bloch fronts with Dirichlet boundaries
چکیده انگلیسی

We investigate the behavior of fronts in bistable activator–inhibitor systems near Dirichlet boundaries. In particular, analytical and numerical investigations are performed for a FitzHugh–Nagumo dynamics. Conditions for a bound state and for a rebound of fronts are formulated. We also show fronts which oscillate between two reflecting boundaries. If additive noise is applied, nucleation of pairwise fronts near the boundary is observed. The front running towards the boundary is reflected there, and a pulse-like sequence of fronts propagating away from the boundary is established. Thus, noise and the boundary play the role of a pacemaker of a permanent progression of fronts. The sequence becomes highly ordered at optimal noise level. We also present examples of a two dimensional generalization of this noisy pacemaker.


► Front solutions in bistable activator–inhibitor systems near Dirichlet boundaries.
► Bound, rebound and oscillatory states of fronts near boundaries.
► Nucleation of pairwise fronts near the boundary induced by additive noise.
► Noisy pacemaker near boundary of highly ordered at optimal noise level.
► Examples of two dimensional generalization of noisy pacemakers near impurities.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Ecological Complexity - Volume 14, June 2013, Pages 21–36
نویسندگان
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