Trapping and un-trapping of spiral tips in a two-dimensional homogeneousexcitable medium with local small-world connections is studied by numericalsimulation. In a homogeneous medium which can be simulated with a lattice ofregular neighborhood connections, the spiral wave is in the meandering regime.When changing the topology of a small region from regular connections tosmall-world connections, the tip of a spiral waves is attracted by thesmall-world region, where the average path length declines with theintroduction of long distant connections. The "trapped" phenomenon also occursin regular lattices where the diffusion coefficient of the small region isincreased. The above results can be explained by the eikonal equation and therelation between core radius and diffusion coefficient.
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