Genus transition by order shift in a dynamical system

D. E. Rivas-Cisneros, D. A. Diaz-Romero, C. Posadas-Castillo

Abstract


It is well known that the genus of strange attractors change if the control parameters of the dynamical system are modified. It is shown that the genus of strange attractors can also depend on the order of the system and that such changes generate different strange attractors. Topological tools are used to know the genus of the strange attractor.


Keywords


Dynamical system; fractional system; attractors;genus; topological surface; canonical form; topological invariant

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DOI: https://doi.org/10.31349/RevMexFis.66.372

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Revista Mexicana de Física

ISSN: 2683-2224 (on line), 0035-001X (print)

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