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17 results on '"Hbaib, Mohamed"'

5. Influence of additive white noise forcing on solutions of mixed nls equations.

Author

Souissi, Chouhaïd, Omar, Asma, and Hbaib, Mohamed

Subjects
SCHRODINGER equation, DETERMINISTIC processes, STOCHASTIC models, FINITE differences, WHITE noise, NONLINEAR equations
Abstract

In this paper, ihe influence of an additive white noise forcing term on ihe numerical solution for a class of deierminisiic nonlinear one-dimensional Schrödinger equaiions wiih mixed concave convex was studied, sub-super nonlinearities, that is, the stationary states and the blowing-up solutions. Such a perturbation occurs when the size of the noise, described by the real-value parameter e is positive. The size of the noise is controlled by the parameter e >0. We also proved that as e approaches zero, the solution of the perturbed problem converges to the unique trajectory of the deterministic equation, which is the solitary wave. The stochastic model appears to be more realistic, and one can observe, for small values of e, a similar evolution phenomena about the solution as that given by the deterministic case. However, an explosion of the solution and a blow-up phenomena can be noted as e becomes bigger. [ABSTRACT FROM AUTHOR]

Published
2024
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10. Computation of L⊙ in the Tribonacci base.

Author

Salah, Imen Ben and Hbaib, Mohamed

Subjects
ALGEBRAIC numbers, FINITE, The
Abstract

The purpose of this paper is to study the quantities L⊕ (resp. L⊙) defined respectively as the maximal finite length of the β-fractional part appearing when one adds (resp. multiplies) two β-integers. We start by establishing some conditions for finiteness of L⊕ (resp.L⊙). Then we determine the exact value of L⊙ for the Tribonacci number. [ABSTRACT FROM AUTHOR]

Published
2021
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11. RATIONAL LAURENT SERIES WITH PURELY PERIODIC β-EXPANSIONS

Author

Abbes, Farah and Hbaib, Mohamed

Abstract

The aim of this paper is to give families of Pisot and Salem elements β in F_q((x^{-1})) with the curious property that the β-expansion of any rational series in the unit disk D(0, 1) is purely periodic. In contrast, the only known family of reals with the last property are quadratic Pisot numbers β > 1 that satisfy β^2 = nβ + 1 for some integer n ≧ 1.

Published
2013

12. Rational Laurent series with purely periodic $beta$-expansions

Author

Abbes, Farah and Hbaib, Mohamed

Subjects
37B50, 11R06
Abstract

The aim of this paper is to give families of Pisot and Salem elements $\beta$ in $\mathbb{F}_{q}((x^{-1}))$ with the curious property that the $\beta$-expansion of any rational series in the unit disk $D(0,1)$ is purely periodic. In contrast, the only known family of reals with the last property are quadratic Pisot numbers $\beta>1$ that satisfy $\beta^{2} = n\beta+1$ for some integer $n \geq 1$.

Published
2013

17. Diophantine approximation for the cubic root of polynomials of F2[X].

Author

AYADI, KHALIL, HBAIB, MOHAMED, and MAHJOUB, FAIZA

Subjects
*DIOPHANTINE approximation, *POLYNOMIALS, *APPROXIMATION theory, *DIOPHANTINE analysis, *ALGEBRAIC equations
Abstract

In this paper, with different approaches we study rational approximation for the algebraic formal power series in F2((X-1)) solving the irreducible equation α³ = R; where R is a polynomial of F2[X]. Moreover, for some polynomials R, we give explicitly the continued fraction expansion of the root of this equation. [ABSTRACT FROM AUTHOR]

Published
2012

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