A note on singularities of 3-flows in \({\mathcal G}^1(M)\)
The goal of this paper is to characterize the singularities of vector fields in the space of dynamical systems known as \({\mathfrak A}^1(M)\), where \(M\) is an \(n\)-dimensional compact smooth manifold without boundary. The author assumes that \(M\) is 3-dimensional and shows that singularities of vector fields \({\mathfrak A}^1(M)\) accumulated by the periodic orbits are generally the same as in the geometric Lorenz attractor.
scientific article; zbMATH DE number 1660831
scientific article