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ON THE NUMBER OF LIMIT CYCLES FOR A GENERALIZATION OF LIÉNARD POLYNOMIAL DIFFERENTIAL SYSTEMS

✍ Scribed by LLIBRE, JAUME; VALLS, CLAUDIA

Book ID: 120195323
Publisher: World Scientific Publishing Company
Year: 2013
Tongue: English
Weight: 258 KB
Volume: 23
Category: Article
ISSN: 0218-1274
DOI: 10.1142/S021812741350048X

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The limit cycles of the generalized Rayleigh-Lie´nard oscillator X + AX + 2BX 3 + o(z 3 + z 2 X 2 + z 1 X 4 + z 4 X 2 )X = 0, for A q 0, B q 0, and A Q 0, B q 0 are studied by using the Jacobian elliptic functions with the generalized harmonic balance method. For given values of the parameters z i $