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marellasunny
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I am taking a course in non-linear dynamics and I read that Lorenz systems exhibit 'chaotic behaviour' and the spruce-budworm non-linear D.E follows the criteria of 'catastrophe theory'.Is there a difference between these 2 theories?If yes,does this mean that small changes in the spruce-budworm model do not exhibit the 'butterfly effect'?Please explain(higher math is also understandable for me,you could use Thom's taylor series proof etc.)