Open AccessSpiral wave in an inhomogeneous excitable medium
Author(s) -
Guoyong Zhang,
Jun Ma,
Gan Zheng-Ning,
Yong Chen
Publication year - 2008
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.57.6815
Subject(s) - spiral (railway) , spiral wave , physics , range (aeronautics) , distribution (mathematics) , pattern formation , mechanics , classical mechanics , optics , statistical physics , materials science , mathematical analysis , mathematics , biology , composite material , genetics
Using a Barkley model as an examplethe pattern formation of spiral waves in inhomogeneous excitable medium is investigated. The normal distribution of parameters fluctuations is introduced to depict the inhomogeneous medium. It is found that the parameter fluctuations play an important role in the formation of spiral pattern. For a larger variance of the parameter fluctuationsthe spiral waves are rough. In the case of the uniform distribution of fluctuations in two parametersspiral wave cannot be observed for fluctuations beyond a certain range. It is conjectured that these results are induced by the rotating frequency of spiral wave for different parameters. For the larg rotating frequencythe spiral wave pattern is finely crowdedwhile it is sparse for small frequencies.