Orbitally symmetric systems with applications to planar centers

Author:

Bastos Jefferson L. R.,Buzzi Claudio A.,Torregrosa Joan

Abstract

<p style='text-indent:20px;'>We present a generalization of the most usual symmetries in differential equations known as the time-reversibility and the equivariance ones. We check that the typical properties are also valid for the new definition that unifies both. With it, we are able to present new families of planar polynomial vector fields having equilibrium points of center type. Moreover, we provide the highest lower bound for the local cyclicity of an equilibrium point of polynomial vector fields of degree 6, <inline-formula><tex-math id="M1">\begin{document}$ M(6)\ge 48. $\end{document}</tex-math></inline-formula></p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Analysis,General Medicine

Reference41 articles.

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