most citedExistence of a cylinder foliated by periodic orbits in the generalized Chazy differential equation

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math.DS2023★ 1 cited

Existence of a cylinder foliated by periodic orbits in the generalized Chazy differential equation

Jaume Llibre, Douglas D. Novaes, Claudia Valls

The generalized Chazy differential equation corresponds to the following two-parameter family of differential equations \begin{equation*}\label{gcdeq} \dddot x+|x|^q \ddot x+\dfrac…

math.DS2019

Zero-Hopf bifurcation in the general Van der Pol-Duffing equation

Murilo Cândido, Claudia Valls

We study analytically the coexistence of multiple periodic solutions and invariant tori in the general Van der Pol-Duffing oscillator equations. We use several results related to t…