Propagation of travelling waves in sub-excitable systems driven by noise and periodic forcing |
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Authors: | F N Si Q X Liu J Z Zhang L Q Zhou |
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Institution: | (1) China Academy of Engineering Physics, Mianyang, Sichuan, 621000, P.R. China;(2) Department of Physics, Peking University, Beijing, 100871, P.R. China;(3) Department of Mathematics, North University of China, Taiyuan, Shan'xi, 030051, P.R. China;(4) Department of Physics, Northeastern University, Boston, MA 02115, USA |
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Abstract: | It has been reported that traveling waves propagate
periodically and stably in sub-excitable systems driven by noise
Phys. Rev. Lett. 88, 138301 (2002)]. As a further
investigation, here we observe different types of traveling waves
under different noises and periodic forces, using a simplified
Oregonator model. Depending on different noises and periodic forces,
we have observed different types of wave propagation (or their
disappearance). Moreover, reversal phenomena are observed in this
system based on the numerical experiments in the one-dimensional
space. We explain this as an effect of periodic forces. Thus, we
give qualitative explanations for how stable reversal phenomena
appear, which seem to arise from the mixing function of the periodic
force and the noise. The output period and three velocities (normal,
positive and negative) of the travelling waves are defined and their
relationship with the periodic forces, along with the types of
waves, are also studied in sub-excitable system under a fixed noise
intensity.
Electronic supplementary material Supplementary Online Material |
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Keywords: | 82 40 Ck Pattern formation in reactions with diffusion flow and heat transfer 05 40 Ca Noise 47 54 -r Pattern selection pattern formation 83 60 Np Effects of electric and magnetic fields |
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