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...

Бүрэн тодорхойлолт

Номзүйн дэлгэрэнгүй
Үндсэн зохиолчид:	Granada Díaz, Héctor Andrés, Olivar Robayo, Luis Eduardo, Casanova Trujillo, Simeón
Формат:	Online
Хэл сонгох:	spa
Хэвлэсэн:	Universidad Pedagógica y Tecnológica de Colombia 2023
Нөхцлүүд:	Sistemas tipo Lorenz bifurcaciones caos Lorenz-type systems bifurcations chaos
Онлайн хандалт:	https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/15253

Тодорхойлолт
Тойм:	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.