Abstract
We consider the system ẋ=a(z−a1x3−a2x2−bx), ẏ=−z, ż=−b1x+y+b2z, where a and b are parameters and b1=7/10, b2=6/25, a1=44/3, and a2=41/2. We analyze the existence of local and global analytic first integrals.
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