Pitchfork and Hopf bifurcations in an extended Lorenz system

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 com...

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Podrobná bibliografie
Hlavní autoři:	Granada Díaz, Héctor Andrés, Olivar Robayo, Luis Eduardo, Casanova Trujillo, Simeón
Médium:	Online
Jazyk:	spa
Vydáno:	Universidad Pedagógica y Tecnológica de Colombia 2023
Témata:	Sistemas tipo Lorenz bifurcaciones caos Lorenz-type systems bifurcations chaos
On-line přístup:	https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/15253

Popis
Shrnutí:	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.