Lorenz attractor through saddle-node bifurcations
A geometric Lorenz attractor is a vector field in \(\mathbb{R}^3\) which has an attractor with a dense set of hyperbolic period orbits and one hyperbolic singularity. A saddle-node Lorenz attractor is, as defined in the paper, a three-dimensional vector field for which its nonwandering set consists of a hyperbolic set together with an attractor in which there exists a dense set of periodic hyperbolic orbits and at least one saddle-node singularity. The paper realises a study of the unfolding of such attractors through a saddle-node bifurcation.
scientific article; zbMATH DE number 936275
scientific article