Abstract

RIVAS-CISNEROS, D.E.; DIAZ-ROMERO, D.A.  and  POSADAS-CASTILLO, C.. Genus transition by order shift in a dynamical system. Rev. mex. fis. [online]. 2020, vol.66, n.3, pp.372-377.  Epub Mar 26, 2021. ISSN 0035-001X.  https://doi.org/10.31349/revmexfis.66.372.

It is well known that the genus of a strange attractor changes if the control parameters of the dynamical system are modified. It is shown that the genus of strange attractors may also depend on the order of the system and that such changes generate different strange attractors. In this work, low-dimensional topological tools are applied in order to know the genus of a strange attractor.

Keywords : Dynamical system; fractional system; attractor; genus; topological surface; canonical form; topological invariant; 05.45.-a; 05.45.Ac; 05.45.Pq; 02.40.-k; 02.40.Pc; 02.40.Vh.