Planar cubic polynomial differential systems with the maximum number of invariant straight lines
Jaume Llibre, Nicolae Vulpe
Abstract
We classify all cubic systems possessing the maximum number of invariant straight lines (real or complex) taking into account their multiplicities. We prove that there are exactly 23 topological different classes of such systems. For every class we provide the configuration of its invariant straight lines in the Poincare disc. Moreover, every class is characterized by a set of affine invariant conditions.
Create a lesson
Related papers
Adjoint-Based Stochastic Analysis for Fatigue of Aeroelastic and Frictional Systems
Justin H. Porter
Asymptotic Analysis of Discrete-Time Self-Attention Dynamics in Transformers
Claudio Altafini
Dimension theory of group actions by circle diffeomorphisms I: Stationary measures
Weikun He, Yuxiang Jiao, Disheng Xu
Hausdorff Dimension and Flexibility for Attractors of Non-Uniformly Hyperbolic Flows
Elias Rego, Paulo Varandas
Finiteness of planar central configurations of five bodies for all positive masses
Tejasvi Singh Tomar
Khintchine dichotomy for images of self-similar measures and almost random walks
Liyang Shao