Colliding waves in a model excitable medium: Preservation, annihilation, and bifurcation
Colliding waves in a model excitable medium: Preservation, annihilation, and bifurcation
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DOI：
10.1103/physrevlett.79.2803
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发表时间：
1997-10-13
影响因子：
8.6
通讯作者：
Mahadevan, L
中科院分区：
文献类型：
--
作者：
Argentina, M;Coullet, P;Mahadevan, L
We analyze the transition from annihilation to preservation of colliding waves. The analysis exploits the similarity between the local and global phase portraits of the system. The transition is shown to be the infinite-dimensional analog of the creation and annihilation of limit cycles in the plane via a homoclinic Andronov bifurcation, and has parallels to the nucleation theory of first-order phase transitions.
