Fu-cheng Liu, Xiao-fei Wang. Elimination of Anti-spiral Waves by Local Inhomogeneity in Oscillatory Systems[J]. Chinese Journal of Chemical Physics , 2008, 21(6): 575-580. doi: 10.1088/1674-0068/21/06/575-580
Citation: Fu-cheng Liu, Xiao-fei Wang. Elimination of Anti-spiral Waves by Local Inhomogeneity in Oscillatory Systems[J]. Chinese Journal of Chemical Physics , 2008, 21(6): 575-580. doi: 10.1088/1674-0068/21/06/575-580

Elimination of Anti-spiral Waves by Local Inhomogeneity in Oscillatory Systems

doi: 10.1088/1674-0068/21/06/575-580
Funds:  This work was supported by the National Natural Science Foundation of China (No.10647123).
  • Received Date: 2008-05-19
  • Anti-spiral waves are controlled in an oscillatory system by using a local inhomogeneity. The inhomogeneity acts as a wave source, and gives rise to the propagating plane waves. It is found that there is a critical pacemaking domain size below which no wave will be created at all. Two types of ordered waves (target waves and traveling waves) are created depending on the geometry of the local inhomogeneity. The competition between the anti-spiral waves and the ordered waves is discussed. Two different competition mechanisms were observed, which are related to the ordered waves obtained from different local inhomogeneities. It is found that traveling waves with either lower frequency or higher frequency can both eliminate the anti-spiral waves, while only the target waves with lower absolute value of frequency can eliminate the anti-spiral waves.This method also applies to outwardly rotating spiral waves. The control mechanism is intuitively explained and the control method is easily operative.
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    沈阳化工大学材料科学与工程学院 沈阳 110142

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Elimination of Anti-spiral Waves by Local Inhomogeneity in Oscillatory Systems

doi: 10.1088/1674-0068/21/06/575-580
Funds:  This work was supported by the National Natural Science Foundation of China (No.10647123).

Abstract: Anti-spiral waves are controlled in an oscillatory system by using a local inhomogeneity. The inhomogeneity acts as a wave source, and gives rise to the propagating plane waves. It is found that there is a critical pacemaking domain size below which no wave will be created at all. Two types of ordered waves (target waves and traveling waves) are created depending on the geometry of the local inhomogeneity. The competition between the anti-spiral waves and the ordered waves is discussed. Two different competition mechanisms were observed, which are related to the ordered waves obtained from different local inhomogeneities. It is found that traveling waves with either lower frequency or higher frequency can both eliminate the anti-spiral waves, while only the target waves with lower absolute value of frequency can eliminate the anti-spiral waves.This method also applies to outwardly rotating spiral waves. The control mechanism is intuitively explained and the control method is easily operative.

Fu-cheng Liu, Xiao-fei Wang. Elimination of Anti-spiral Waves by Local Inhomogeneity in Oscillatory Systems[J]. Chinese Journal of Chemical Physics , 2008, 21(6): 575-580. doi: 10.1088/1674-0068/21/06/575-580
Citation: Fu-cheng Liu, Xiao-fei Wang. Elimination of Anti-spiral Waves by Local Inhomogeneity in Oscillatory Systems[J]. Chinese Journal of Chemical Physics , 2008, 21(6): 575-580. doi: 10.1088/1674-0068/21/06/575-580

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