Discrete systems of equations233Figure 5.9.Example 5.14|R|>1Consider the systemxt=xt−1+2yt−1yt=−xt−1+yt−1Then the matrix of the system isA=±12−11²with characteristic rootsr=1+i√2 ands=1−i√2. HenceR=³(1)2+(√2)2=√3=1.73205Such a system should therefore have an unstable focus. We illustrate this inFgure 5.10, where the original system is set up on a spreadsheet and the ini-tial point is given by (
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