Dynamics of a generalized Rayleigh system

Maíra Duran Baldissera, Jaume Llibre, Regilene Oliveira

Consider the first order differential system given by \begin{equation*} \begin{array}{l} \dot{x}= y, \qquad \dot{y}= -x+a(1-y^{2n})y, \end{array} \end{equation*} where $a$ is a rea…