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Quadratic Liénard Equations with Quadratic Damping

✍ Scribed by Freddy Dumortier; Chengzhi Li

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
417 KB
Volume
139
Category
Article
ISSN
0022-0396

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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