Development of Multiple Target Patterns

It is easy to see that the relation Rx2 i 2 holds for sufficiently large t. This 

The argument above may be readily extended to include the situation where a number of target patterns coexist. We restrict consideration to a two-pacemaker problem since this demonstrates all essential points of theoretical interest. Let the potential I7(r) be of the form 

Most of such complexities in constructing correct two-pacemaker solutions are swept away by restricting attention to the asymptotic behavior of Q as r-r - 00 and t- cc with finite. In fact, Q is then simplified as 

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