Li Yanni, Chen Lan, Cai Zunsheng, Zhao Xuezhuang. Chaos Synchronization in the Belousov-Zhabotinsky Chemical Reaction by Self-Adaptive Parameter Adjustment Scheme[J]. Chinese Journal of Chemical Physics , 2003, 16(1): 14-18. doi: 10.1088/1674-0068/16/1/14-18
Citation: Li Yanni, Chen Lan, Cai Zunsheng, Zhao Xuezhuang. Chaos Synchronization in the Belousov-Zhabotinsky Chemical Reaction by Self-Adaptive Parameter Adjustment Scheme[J]. Chinese Journal of Chemical Physics , 2003, 16(1): 14-18. doi: 10.1088/1674-0068/16/1/14-18

Chaos Synchronization in the Belousov-Zhabotinsky Chemical Reaction by Self-Adaptive Parameter Adjustment Scheme

doi: 10.1088/1674-0068/16/1/14-18
  • Received Date: 2002-01-23
  • Employing the self-adaptive parameter adjustment scheme, the chaotic dynamical behaviors in the coupled Belousove-Zhabotinsky-CSTR chemical system were investigated numerically. The confirmation of synchronization is using the criteria of maximum transverse Lyapunov exponent. The results show that when all the variables are involved in the parameter adjustment rule, the chaos synchronization between the response and the target systems were obtain. However, as only some of the variables can be detected easily in the real experiment, there are difficulties in employing this scheme experimentally. Therefore, that scheme to investigate the role of single variable separately were modified. The results show that no chaos synchronization can be obtained when [Br-] and [HBrO2] are used separately, except when [Ce4+] and [BrMA] are used. However, there is no easy way to detect [BrMA] in the experiment, [Ce4+] becomes the unique feasible variable involved in the adjustment role. Besides, the synchronization efficiency of different combinations of stiff constant and damping constants has been studied by means of synchronization-arriving time.
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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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Chaos Synchronization in the Belousov-Zhabotinsky Chemical Reaction by Self-Adaptive Parameter Adjustment Scheme

doi: 10.1088/1674-0068/16/1/14-18

Abstract: Employing the self-adaptive parameter adjustment scheme, the chaotic dynamical behaviors in the coupled Belousove-Zhabotinsky-CSTR chemical system were investigated numerically. The confirmation of synchronization is using the criteria of maximum transverse Lyapunov exponent. The results show that when all the variables are involved in the parameter adjustment rule, the chaos synchronization between the response and the target systems were obtain. However, as only some of the variables can be detected easily in the real experiment, there are difficulties in employing this scheme experimentally. Therefore, that scheme to investigate the role of single variable separately were modified. The results show that no chaos synchronization can be obtained when [Br-] and [HBrO2] are used separately, except when [Ce4+] and [BrMA] are used. However, there is no easy way to detect [BrMA] in the experiment, [Ce4+] becomes the unique feasible variable involved in the adjustment role. Besides, the synchronization efficiency of different combinations of stiff constant and damping constants has been studied by means of synchronization-arriving time.

Li Yanni, Chen Lan, Cai Zunsheng, Zhao Xuezhuang. Chaos Synchronization in the Belousov-Zhabotinsky Chemical Reaction by Self-Adaptive Parameter Adjustment Scheme[J]. Chinese Journal of Chemical Physics , 2003, 16(1): 14-18. doi: 10.1088/1674-0068/16/1/14-18
Citation: Li Yanni, Chen Lan, Cai Zunsheng, Zhao Xuezhuang. Chaos Synchronization in the Belousov-Zhabotinsky Chemical Reaction by Self-Adaptive Parameter Adjustment Scheme[J]. Chinese Journal of Chemical Physics , 2003, 16(1): 14-18. doi: 10.1088/1674-0068/16/1/14-18

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