Name
Title | ||
|---|---|---|
Differential positivity characterizes one-dimensional normally hyperbolic attractors. |
Abstract | ||
|---|---|---|
The paper shows that normally hyperbolic one-dimensional compact attractors of smooth dynamical systems are characterized by differential positivity, that is, the pointwise infinitesimal contraction of a smooth cone field. The result is analog to the characterization of zero-dimensional hyperbolic attractors by differential stability, which is the pointwise infinitesimal contraction of a Riemannian metric. |
Year | Venue | Field |
|---|---|---|
2015 | arXiv: Systems and Control | Attractor,Mathematical analysis,Dynamical systems theory,Infinitesimal,Mathematics,Pointwise |
DocType | Volume | Citations |
Journal | abs/1511.06996 | 0 |
PageRank | References | Authors |
0.34 | 4 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Fulvio Forni | 1 | 256 | 21.77 |
| Alexandre Mauroy | 2 | 59 | 8.21 |
| Rodolphe Sepulchre | 3 | 1478 | 140.85 |