Propagating fronts in a bistable coupled map lattice
Propagating fronts in a bistable coupled map lattice
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双稳态耦合映射晶格中的传播前沿
DOI：
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
L. Raymond
中科院分区：
文献类型：
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作者：
B. Fernandez;L. Raymond
我们考虑在简单耦合映象格子中以有理速度p/q传播的（类行波）波前，其中局部映象有两个稳定的不动点.我们证明了这样的轨道的唯一性的时间迭代，空间平移，和置换的相关代码。也给出了它们存在的条件，但必须在每种情况下进行检查。我们希望这个条件可以作为一种选择机制。所采用的技术，所谓的（广义）传递矩阵法，使我们能够给出这些解决方案的明确表达。这些锋实际上是数值模拟中观测到的轨道，如两个例子所示：速度1/2和速度1的情况。
We consider the (traveling-wave-like) fronts which propagate with rational velocityp/q in a simple coupled map lattice for which the local map has two stable fixed points. We prove the uniqueness of such orbits up to time iterations, space translations, and permutations of the associated codes. A condition for their existence is also given, but it has to be checked in each case. We expect this condition to serve as a selection mechanism. The technique employed, the so-called (generalized) transfer matrix method, allows us to give explicit expressions for these solutions. These fronts are actually the observed orbits in the numerical simulations, as is shown with two examples: the case of velocity 1/2 and that of velocity 1.