Dimension of the attractors associated to autonomous and nonautonomous dynamical s...
| Full text | |
| Author(s): |
Smania, Daniel
Total Authors: 1
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| Document type: | Journal article |
| Source: | ANNALS OF MATHEMATICS; v. 191, n. 1, p. 1-79, JAN 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
We show that in a generic finite-dimensional real-analytic family of real-analytic multimodal maps, the subset of parameters on which the corresponding map has a solenoidal attractor with bounded combinatorics is a set with zero Lebesgue measure. (AU) | |
| FAPESP's process: | 03/03107-9 - Qualitative theory of differential equations and singularity theory |
| Grantee: | Carlos Teobaldo Gutierrez Vidalon |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 10/08654-1 - Spectral properties of the renormalization operator |
| Grantee: | Daniel Smania Brandão |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 17/06463-3 - Probabilistic and algebraic aspects of smooth dynamical systems |
| Grantee: | Ali Tahzibi |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 08/02841-4 - Topology, geometry and ergodic theory of dynamical systems |
| Grantee: | Jorge Manuel Sotomayor Tello |
| Support Opportunities: | Research Projects - Thematic Grants |