Genus transition by order shift in a dynamical system | Zendy

D. E. Rivas-Cisneros | Zendy; D. A. Diaz-Romero | Zendy; C. Posadas–Castillo | Zendy

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Genus transition by order shift in a dynamical system

Author(s) -

D. E. Rivas-Cisneros,

D. A. Diaz-Romero,

C. Posadas–Castillo

Publication year - 2020

Publication title -

revista mexicana de física

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.181

H-Index - 25

eISSN - 2683-2224

pISSN - 0035-001X

DOI - 10.31349/revmexfis.66.372

Subject(s) - attractor , genus , order (exchange) , dynamical systems theory , dynamical system (definition) , physics , statistical physics , mathematics , biology , mathematical analysis , zoology , quantum mechanics , finance , economics

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.

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