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A note on existence and uniqueness of limit cycles for Liénard systems

✍ Scribed by Timoteo Carletti; Gabriele Villari


Book ID
108175176
Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
117 KB
Volume
307
Category
Article
ISSN
0022-247X

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proposed a theorem to guarantee the uniqueness of limit cycles for the generalized Lienard system Ž . Ž . Ž . dxrdt s h y y F x , dyrdt s yg x . We will give a counterexample to their Ž . theorem. It will be shown that their theorem is valid only if F x is monotone on certain intervals. For this ca