Polynomial LiΓ©nard Equations near Infini
β
Freddy Dumortier; Chris Herssens
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Article
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1999
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Elsevier Science
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English
β 378 KB
We study the behaviour near infinity of the (generalized) Lie nard equations x\* = y, y\* =& m k=0 a k x k & y n k=0 b k x k providing a complete classification using Poincare compactification as well as Poincare Lyapunov compactification. We show that all the necessary information is contained in a