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...

Szczegółowa specyfikacja

Opis bibliograficzny
Główni autorzy:	Granada Díaz, Héctor Andrés, Olivar Robayo, Luis Eduardo, Casanova Trujillo, Simeón
Format:	Online
Język:	spa
Wydane:	Universidad Pedagógica y Tecnológica de Colombia 2023
Hasła przedmiotowe:	Sistemas tipo Lorenz bifurcaciones caos Lorenz-type systems bifurcations chaos
Dostęp online:	https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/15253

Opis
Streszczenie:	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.