Genus transition by order shift in a dynamical system

Authors

  • D. E. Rivas-Cisneros Universidad Autónoma de Nuevo León
  • D. A. Diaz-Romero Universidad Autónoma de Nuevo León
  • C. Posadas-Castillo Universidad Autónoma de Nuevo León

DOI:

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

Keywords:

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

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.

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Published

2020-05-01

How to Cite

[1]
D. E. Rivas-Cisneros, D. A. Diaz-Romero, and C. Posadas-Castillo, “Genus transition by order shift in a dynamical system”, Rev. Mex. Fís., vol. 66, no. 3 May-Jun, pp. 372–377, May 2020.

Issue

Vol. 66 No. 3 May-Jun (2020): Revista Mexicana de Fìsica

Section

14 Other areas in Physics

License

Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.