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Bifurcation Curves of Limit Cycles in some Lienard Systems | Ricardo Lopez-Ruiz
; Jose-Luis Lopez
; | Date: |
14 May 2002 | Subject: | Pattern Formation and Solitons; Dynamical Systems | nlin.PS math.DS | Abstract: | Lienard systems of the form $ddot{x}+epsilon f(x)dot{x}+x=0$, with f(x) an even continous function, are considered. The bifurcation curves of limit cycles are calculated exactly in the weak ($epsilon o 0$) and in the strongly ($epsilon oinfty$) nonlinear regime in some examples. The number of limit cycles does not increase when $epsilon$ increases from zero to infinity in all the cases analyzed. | Source: | arXiv, nlin.PS/0205028 | Services: | Forum | Review | PDF | Favorites |
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