COUPLING AMONG 3 CHEMICAL OSCILLATORS - SYNCHRONIZATION, PHASE DEATH, AND FRUSTRATION
COUPLING AMONG 3 CHEMICAL OSCILLATORS - SYNCHRONIZATION, PHASE DEATH, AND FRUSTRATION
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DOI：
10.1103/physreve.47.864
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发表时间：
1993-02-01
影响因子：
2.4
通讯作者：
MORI, Y
中科院分区：
文献类型：
--
作者：
YOSHIMOTO, M;YOSHIKAWA, K;MORI, Y
观察了三角形排列的三个耦合化学振子的各种模式。作为一个定义良好的非线性振荡器，在连续流搅拌槽式反应器（CSTR）中研究了Belousov-Zhabotinsky反应。CSTR之间通过质量交换进行耦合。通过对反应器之间的蠕动泵改变反应溶液的流速，定量控制耦合强度。作为控制耦合模型的关键参数，我们改变了振子之间相互作用的对称性。在对称耦合的情况下，根据耦合强度的不同，会出现准周期状态或双周期模式、全死模式和两种同步模式。另一方面，在非对称耦合下，出现了准周期态或双周期模式、全死亡模式和四种同步模式。这些模式已经与伊辛自旋系统中的“挫折”概念进行了讨论，其中三相模式表现为从伊辛自旋系统到XY自旋系统的过渡。
Various modes in three coupled chemical oscillators in a triangular arrangement were observed. As a well-defined nonlinear oscillator, the Belousov-Zhabotinsky reaction was studied in a continuous-flow stirred tank reactor (CSTR). Coupling among CSTR's was performed by mass exchange. The coupling strength was quantitatively controlled by changing the flow rate of reacting solutions among the three CSTR's using peristaltic pumps between each pair of the reactors. As a key parameter to control the model of coupling, we changed the symmetry of the interaction between the oscillators. In the case of the symmetric coupling, a quasiperiodic state or a biperiodic mode, an all-death mode and two kinds of synchronized modes appeared, depending on the coupling strength. On the other hand, under the asymmetric coupling, a quasiperiodic state or a biperiodic mode, an all death mode and four kinds of synchronized modes appeared. Those modes have been discussed in relation to the idea of ''frustration'' in the Ising spin system, where the three-phase mode appears as a transition from the Ising spin system to the XY spin system.