Unformatted text preview: x ∗ = a is an asymptotically stable rest point . ±igure 2.15 also illustrates another feature of the characteristics of a Fxed point. The origin, x ∗ = 0, is a repellor while x ∗ = a is an attractor. In the neighbourhood of the origin, the differential equation has a positive slope. In the neighbourhood 8 We shall be more explicit about the meaning of ‘close to’ in section 4.2....
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 Fall '11
 Dr.Gwartney
 Economics, Chaos Theory, Fixed point

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