2 papers
math.DS2026
Infinite-Piecewise Expanding Maps: Chaos, Ergodicity and Invariant-Set Complexity
Matheus G. C. Cunha, Douglas D. Novaes, Gabriel Ponce
In this paper, we study a class of one-dimensional piecewise maps defined by infinitely many smooth expanding branches. This class arises naturally in the context of non-smooth dyn…
math.DS2024
On the Hausdorff dimension and Cantor set structure of sliding Shilnikov invariant sets
Matheus G. C. Cunha, Douglas D. Novaes, Gabriel Ponce
The concept of sliding Shilnikov connection has been recently introduced and represents an important notion in Filippov systems, because its existence implies chaotic behavior on a…