Mehdi Pourbarat
Department of Mathematics,
Shahid Beheshti University, Tehran, Iran
Interest subjects: Dynamical Systems, Differential Geometry
Email address: m-pourbarat@sbu.ac.ir, pourbarat@gmail.com
Publications:
12. Chaos in one-dimensional piecewise smooth dynamical systems (With N.Abassi, R. Makrooni and M.R. Molaei), Journal of Dynamical and Control Systems, Springer, 2023.
11. Topological structure of the sum of two homogenous Cantor sets, Ergodic Theory and Dynamical Systems, Cambridge University Press, 2021.
10. On some kinds of dense orbits in general nonautonomous dynamical systems, Nonautonomous Dynamical Systems, De Gruyter, 2020.
9. Stable intersection of affine Cantor sets defined by two expanding maps, Journal of Differential Equations, Elsevier, 2018.
8. On the arithmetic difference of middle Cantor sets, Discrete and Continuous Dynamical Systems (A), AIMS, 2018.
7. On subspaces that are not Baire (with N. Abassi), The New Zealand Journal of Mathematics, Massey University, 2015.
6. Stable intersection of middle-α Cantor sets, Communications in Contemporary Mathematics, World Scientific, 2015.
5. Nonautonomous discrete systems: density of orbits and transitivity (with N. Abassi), International Journal of Bifurcation and Chaos, World Scientific, 2015.
4. Robust unbounded chaotic attractors in 1D discontinuous maps (with L.Gardini, R. Makrooni and N. Abbasi), Chaos, Solitons and Fractals, Elsevier, 2015.
3. Matter confinement mechanism in de sitter brane (with S. Shahrokhi) Reports on Mathematical Physics, Elsevier, 2014.
2. Arithmetic difference of middle Cantor sets: self-similarity and measure, Journal of Dynamical Systems and Geometric Theories, Taylor & Francis, 2012.
1. Stable intersections of affine cantor sets (with C. G. Moreira and Honary) Bulletin of the Brazilian Mathematical Society, Springer, 2005.