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The Limit Cycles of Lienard Equations in the Strongly Non-Linear Regime | | Jose-Luis Lopez
; Ricardo Lopez-Ruiz
; | | Date: |
14 May 2002 | | Subject: | Chaotic Dynamics; Pattern Formation and Solitons; Dynamical Systems | nlin.CD math.DS nlin.PS | | Abstract: | Lienard systems of the form $ddot{x}+epsilon f(x)dot{x}+x=0$, with f(x) an even function, are studied in the strongly nonlinear regime ($epsilon oinfty$). A method for obtaining the number, amplitude and loci of the limit cycles of these equations is derived. The accuracy of this method is checked in several examples. Lins-Melo-Pugh conjecture for the polynomial case is true in this regime. | | Source: | arXiv, nlin.CD/0205027 | | Services: | Forum | Review | PDF | Favorites | |
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