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2. Epidemiologic features and management of hypertension in Tunisia, the results from the Hypertension National Registry (NaTuRe HTN)

Author

Abid, Leila, Hammami, Rania, Chamtouri, Ikram, Drissa, Meriam, Boudiche, Selim, Bahloul, MohamedAmine, BenSlima, Hedi, Sayahi, Khaled, Charfeddine, Selma, Allouche, Emna, Rais, Lamia, Kaab, Badr, IbnHadjamor, Hassen, BenFatma, Lilia, Garbaa, Riadh, Boukhris, Sabrine, Halima, Manel Ben, Amdouni, Nesrine, Ghorbel, Chaima, Soudani, Sabrine, Khaled, Imen, Triki, Syrine, Bouazizi, Feten, Jemai, Imen, Abdeljalil, Ouday, Ammar, Yemna, Farah, Amani, Neji, Adnen, Oumayma, Zeineb, Seghaier, Sana, Mokrani, Samir, Thawaba, Hamza, Sarray, Hela, Ouaghlani, Khalil, Thabet, Houssem, Mnif, Zeineb, Boujelban, Fatma, Sghaier, Mohamed, Khalifa, Roueida, Fourati, Sami, Kammoun, Yasmin, Abid, Syrine, Hamza, Chihab, Jeddou, Syrine Ben, Sabbah, Lassaad, Lakhdhar, Rim, Dammak, Najla, Sellami, Tarek, Herbegue, Basma, Koubaa, Alia, Triki, Faten, Ellouz, Tarek, Hmoudi, Aicha, BenAmeur, Ikhlas, Boukhchina, MohamedMongi, Abid, Neila, Wachtati, Wejdene, Nasrallah, Nizar, Houidi, Yousra, Meghaieth, Fathia, Ghodhbane, Elhem, Chayeb, Mounira, Chenik, Sarra, Kaabachi, Samira, Saadaoui, Nizar, BenAmeur, Ines, Affes, Moufida, Ouali, Sana, Chaker, Mouna, Naanaa, Hela, Dghim, Meriem, Jarrar, Mourad, Mnif, Jihene, Turki, Ahmed, Zairi, Ihsen, Langar, Jamel, Dardouri, Safa, Hchaichi, Imen, Chettaoui, Rafik, Essmat, Wajih, Chakroun, Amel, Mzoughi, Khadija, Mechmeche, Rachid, BenHalima, Afef, BenKhala, Sahar, Chtourou, Slim, Maalej, Abdelkader, Ayari, Mohsen, Hadrich, Moufid, Tlili, Rami, Azaiez, Fares, Bouhlel, Imen, Sahnoun, Samira, Jerbi, Habib, BenMrad, Imtinene, Riahi, Leila, Sahnoun, Mohamed, BenJemaa, Abdelhamid, BenSalem, Amel, Rekik, Bassem, BenDoudou, Maroua, Boujneh, Rachid, Joulak, Anissa, Mejdoub, Yosra, Gtif, Imen, Jribi, Gouider, Naffeti, Elyes, Gamra, Habib, BenYousef, Soraya, Sdiri, Wissem, BenHalima, Najeh, BenAmeur, Youssef, Kachboura, Salem, Kraiem, Sondes, Fehri, Wafa, Bazdeh, Leila, Mourali, MohamedSami, Milouchi, Sami, Drissa, Habiba, Maatouk, Faouzi, Zakhama, Lilia, Addad, Faouzi, Kammoun, Samir, and Abdesselem, Salem

Published
2022
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3. A class of discontinuous systems exhibit perturbed period doubling bifurcation.

Author

Hosham, Hany A., Alzulaibani, Alaa A., Sellami, Tarek, Sioud, Khaled, and Alharthi, Thoraya N.

Subjects
POINCARE maps (Mathematics), DISCONTINUOUS functions, VECTOR fields, DYNAMICAL systems, ORBITS (Astronomy), LIMIT cycles
Abstract

This research considers discontinuous dynamical systems, which have related vector fields that shift over a discontinuity surface. These systems appear in a variety of applications, including ecology, medicine, neuroscience, and nonsmooth mechanics. The purpose of this paper is to develop a perturbation technique that measures the effect of a nonsmooth perturbation on the period doubling bifurcation of an unperturbed system. The unperturbed system is assumed to be close to a period doubling orbit, such that when the bifurcation parameter varies, the response changes from a period one to a period two limit cycle. The generalized determination of the Poincaré map associated with perturbed systems subjected to nonsmooth transitions is derived. The main techniques used in the proof of the results are normal forms and Melnikov functions, which are defined in two zones. Various examples are presented to show that non-smoothness is responsible for period doubling. To illustrate the interesting period doubling phenomenon that emerges from an existing flat periodic orbit via the non-smooth perturbation, a simple and novel discontinuous system is provided. An additional example is provided to show the emergence of a perturbed period doubling orbit near an unperturbed one. [ABSTRACT FROM AUTHOR]

Published
2024
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4. On cut sets of attractors of iterated function systems

Author

Loridant, Benoît, Luo, Jun, Sellami, Tarek, and Thuswaldner, Jörg

Subjects
Mathematics - General Topology, Mathematics - Dynamical Systems, 28A80, 52C20, 54D05
Abstract

In this paper, we study cut sets of attractors of iteration function systems (IFS) in $\mathbb{R}^d$. Under natural conditions, we show that all irreducible cut sets of these attractors are perfect sets or single points. This leads to a criterion for the existence of cut points of IFS attractors. If the IFS attractors are self-affine tiles, our results become algorithmically checkable and can be used to exhibit cut points with the help of Hata graphs. This enables us to construct cut points of some self-affine tiles studied in the literature., Comment: 13 pages

Published
2014

5. Symmetric intersections of Rauzy fractals

Author

Sellami, Tarek and Sirvent, Víctor F.

Subjects
Mathematics - Dynamical Systems
Abstract

In this article we study symmetric subsets of Rauzy fractals of unimodular irreducible Pisot substitutions. The symmetry considered is reflection through the origin. Given an unimodular irreducible Pisot substitution, we consider the intersection of its Rauzy fractal with the Rauzy fractal of the reverse substitution. This set is symmetric and it is obtained by the balanced pair algorithm associated with both substitutions.

Published
2014

6. Random product of substitutions with the same incidence matrix

Author

Arnoux, Pierre, Mizutani, Masahiro, and Sellami, Tarek

Subjects
Mathematics - Dynamical Systems
Abstract

Any infinite sequence of substitutions with the same matrix of the Pisot type defines a symbolic dynamical system which is minimal. We prove that, to any such sequence, we can associate a compact set (Rauzy fractal) by projection of the stepped line associated with an element of the symbolic system on the contracting space of the matrix. We show that this Rauzy fractal depends continuously on the sequence of substitutions, and investigate some of its properties; in some cases, this construction gives a geometric model for the symbolic dynamical system.

Published
2013

7. Common dynamics of two Pisot substitutions with the same incidence matrix

Author

Sellami, Tarek

Subjects
Mathematics - Dynamical Systems
Abstract

The matrix of a substitution is not sufficient to completely determine the dynamics associated, even in simplest cases since there are many words with the same abelianization. In this paper we study the common points of the canonical broken lines associated to two different Pisot irreducible substitutions $\sigma_1$ and $\sigma_2$ having the same incidence matrix. We prove that if 0 is inner point to the Rauzy fractal associated to $\sigma_1$ these common points can be generated with a substitution on an alphabet of so-called "balanced blocks".

Published
2010

13. Epidemiologic features and Management of Hypertension in Tunisia, the results from the NAtional TUnisian REgistry of HyperTensioN (NaTuRe HTN) about 25890 patients

Author

Abid, Leila, primary, Hammami, Rania, additional, Chatmouri, Ikram, additional, Drissa, Meriam, additional, Boudiche, Selim, additional, Bahloul, MohamedAmine, additional, BenSlima, Hedi, additional, Sayahi, Khaled, additional, Charfeddine, Selma, additional, Allouche, Emna, additional, Rais, Lamia, additional, Kaab, Badr, additional, IbnHadjamor, Hassen, additional, BenFatma, Lilia, additional, Garbaa, Riadh, additional, Boukhris, Sabrine, additional, Halima, Manel Ben, additional, Amdouni, Nesrine, additional, Ghorbel, Chaima, additional, Soudani, Sabrine, additional, Khaled, Imen, additional, Triki, Syrine, additional, Bouazizi, Feten, additional, Jemai, Imen, additional, Abdeljalil, Ouday, additional, Ammar, Yemna, additional, Farah, Amani, additional, Neji, Adnen, additional, Oumayma, Zeineb, additional, Seghaier, Sana, additional, Mokrani, Samir, additional, Thawaba, Hamza, additional, Sarray, Hela, additional, Ouaghlani, Khalil, additional, Thabet, Houssem, additional, Mnif, Zeineb, additional, Boujelban, Fatma, additional, Sghaier, Mohamed, additional, Khalifa, Roueida, additional, Fourati, Sami, additional, Kammoun, Yasmin, additional, Abid, Syrine, additional, Hamza, Chihab, additional, Jeddou, Syrine Ben, additional, Sabbah, Lassaad, additional, Lakhdhar, Rim, additional, Dammak, Najla, additional, Sellami, Tarek, additional, Herbegue, Basma, additional, Koubaa, Alia, additional, Triki, Faten, additional, Ellouz, Tarek, additional, Hmoudi, Aicha, additional, BenAmeur, Ikhlas, additional, Boukhchina, MohamedMongi, additional, Abid, Neila, additional, Wachtati, Wejdene, additional, Nasrallah, Nizar, additional, Houidi, Yousra, additional, Meghaieth, Fathia, additional, Ghodhbane, Elhem, additional, Chayeb, Mounira, additional, Chenik, Sarra, additional, Kaabachi, Samira, additional, Saadaoui, Nizar, additional, BenAmeur, Ines, additional, Affes, Moufida, additional, Ouali, Sana, additional, Chaker, Mouna, additional, Naanaa, Hela, additional, Dghim, Meriem, additional, Jarrar, Mourad, additional, Mnif, Jihene, additional, Turki, Ahmed, additional, Zairi, Ihsen, additional, Langar, Jamel, additional, Dardouri, Safa, additional, Hchaichi, Imen, additional, Chettaoui, Rafik, additional, Essmat, Wajih, additional, Chakroun, Amel, additional, Mzoughi, Khadija, additional, Mechmeche, Rachid, additional, BenHalima, Afef, additional, BenKhala, Sahar, additional, Chtourou, Slim, additional, Maalej, Abdelkader, additional, Ayari, Mohsen, additional, Hadrich, Moufid, additional, Tlili, Rami, additional, Azaiez, Fares, additional, Bouhlel, Imen, additional, Sahnoun, Samira, additional, Jerbi, Habib, additional, BenMrad, Imtinene, additional, Riahi, Leila, additional, Sahnoun, Mohamed, additional, BenJemaa, Abdelhamid, additional, BenSalem, Amel, additional, Rekik, Bassem, additional, BenDoudou, Maroua, additional, Boujneh, Rachid, additional, Joulak, Anissa, additional, Mejdoub, Yosra, additional, gtif, Imen, additional, Jr, Gouider, additional, Naffeti, Elyes, additional, Gamra, Habib, additional, BenYousef, Soraya, additional, Sdiri, Wissem, additional, BenHalima, Najeh, additional, BenAmeur, Youssef, additional, Kachboura, Salem, additional, Kraiem, Sondes, additional, Fehri, Wafa, additional, Bazdeh, Leila, additional, Mourali, MohamedSami, additional, Milouchi, Sami, additional, Drissa, Habiba, additional, Maatouk, Faouzi, additional, Zakhama, Lilia, additional, Addad, Faouzi, additional, Kammoun, Samir, additional, and Abdesselem, Salem, additional

Published
2021
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14. Design and rationale of NATURE-HTN: the NAtional Tunisian REgistry of HyperTensioN (Preprint)

Author

Abid, Leila, primary, Abdesselem, Salem, additional, Hammami, Rania, additional, Ben Slima, Hedi, additional, Sayahi, Khaled, additional, Bahloul, Mohamed Amine, additional, Chatmouri, Ikram, additional, Charfeddine, Selma, additional, Rais, Lamia, additional, Kaab, Badr, additional, Ben Fatma, Lilia, additional, Garbaa, Riadh, additional, Allouche, Emna, additional, Ben Halima, Manel, additional, Amdouni, Nesrine, additional, Boukhris, Sabrine, additional, Ghorbel, Chaima, additional, Soudani, Sabrine, additional, Khaled, Imen, additional, Triki, Syrine, additional, Bouazizi, Feten, additional, Jemai, Imen, additional, Boudiche, Slim, additional, Abdeljalil, Ouday, additional, Ammar, Yemna, additional, Farah, Amani, additional, Neji, Adnen, additional, Oumayma, Zeineb, additional, Seghaier, Sana, additional, Mokrani, Samir, additional, Thawaba, Hamza, additional, Sarray, Hela, additional, Ouaghlani, Khalil, additional, Thabet, Houssem, additional, Mnif, Zeineb, additional, Boujelban, Fatma, additional, Sghaier, Mohamed, additional, Khalifa, Roueida, additional, Fourati, Sami, additional, Kammoun, Yasmin, additional, Abid, Syrine, additional, Hamza, Chihab, additional, Ben Jeddou, Syrine, additional, Sabbah, Lassaad, additional, Lakhdhar, Rim, additional, Razgallah, Rabie, additional, Dammak, Najla, additional, Sellami, Tarek, additional, Mourali, Mohamed Sami, additional, Herbegue, Basma, additional, Koubaa, Alia, additional, and Addad, Faouzi, additional

Published
2020
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16. On the symmetric intersection of Rauzy fractals associated with the k-bonacci substitution.

Author

Ammar, Hamdi, Cassaigne, Julien, and Sellami, Tarek

Subjects
FRACTALS, ALGORITHMS, SUBSTITUTIONS (Mathematics)
Abstract

In this article, we study the intersection of Rauzy fractals associated with the k-bonacci substitution and its reversed substitution. Applying the balanced pair algorithm to these two substitutions, we characterise all minimal balanced pairs, and we obtain a general formula for the associated intersection substitution. This substitution is defined over letters. [ABSTRACT FROM AUTHOR]

Published
2021
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21. Symmetric Intersections of Rauzy Fractals.

Author

Sellami, Tarek and Sirvent, Víctor F.

Subjects
*MATHEMATICAL symmetry, *FRACTALS, *SUBSTITUTIONS (Mathematics), *GROUP theory, *MATHEMATICAL analysis
Abstract

In this article we study symmetric subsets of Rauzy fractals of unimodular irreducible Pisot substitutions. The symmetry considered is reflection through the origin. Given an unimodular irreducible Pisot substitution, we consider the intersection of its Rauzy fractal with the Rauzy fractal of the reverse substitution. This set is symmetric and it is obtained by the balanced pair algorithm associated with both substitutions. [ABSTRACT FROM PUBLISHER]

Published
2016
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