Abstract

GRANADA DIAZ, Hector Andres; OLIVAR ROBAYO, Luis Eduardo  and  CASANOVA TRUJILLO, Simeon. Pitchfork and Hopf Bifurcations in an Extended Lorenz System. Ciencia en Desarrollo [online]. 2023, vol.14, n.2, pp.91-101.  Epub July 19, 2023. ISSN 0121-7488.  https://doi.org/10.19053/01217488.v14.n2.2023.15253.

An analytical classification in a three-dimensional parameter space is presented to describe the dynamics for an extended Lorenz system of the Li-Ou type, conditions are given to find supercritical and degenerate Hopf bifurcations and a pitchfork bifurcation.

Finally, the theoretical results are compared with numerical simulations and bifurcation diagrams.

Keywords : bifurcations; chaos; Lorenz-type systems.

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