Articles

Articles 20 records found  previous11 - 20  jump to record: Search took 0.00 seconds. 
11.
10 p, 710.0 KB Periodic orbits of the generalized Friedmann-Robertson-Walker Hamiltonian systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makhlouf, Ammar (University of Annaba(Algeria). Department of Mathematics)
We provide sufficient conditions for the existence of periodic solutions of the second order Hamiltonian system −x'' − λx = εV 'x (t, x), where ε is a small parameter, x ∈ R and V (t, x) is 2π-periodic in t. [...]
2013 - 10.1007/s10509-012-1314-0
Astrophysics and Space Science. An International Journal of Astronomy, Astrophysics and Space Science, Vol. 344 Núm. 1 (2013) , p. 45-50  
12.
8 p, 381.8 KB Periodic solutions of second order Hamiltonian systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makhlouf, Ammar (University of Annaba(Algeria). Department of Mathematics)
We provide sufficient conditions for the existence of periodic solutions of the second order Hamiltonian system −x'' − λx = εV 'x (t, x), where ε is a small parameter, x ∈ R and V (t, x) is 2π-periodic in t. [...]
2013 - 10.1080/14689367.2013.781133
Dynamical Systems, Vol. 28 Núm. 2 (2013) , p. 214-221  
13.
17 p, 377.6 KB On the limit cycles for a class of fourth-order differential equations / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makhlouf, Ammar (University of Annaba(Algeria). Department of Mathematics)
We provide sufficient conditions for the existence of periodic solutions of the fourth-order differential equation . . . . x + (1 + p2)¨x + p2x = εF(x, x,˙ x, ¨. . . x), where p is a rational different from 0, ε is small and F is a nonlinear function.
2012 - 10.1088/1751-8113/45/5/055214
Journal of Physics. A. Mathematical and General, Vol. 45 (2012) , p. 55214  
14.
19 p, 735.7 KB Limit cycles for a class of fourth-order autonomous differential equations / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makhlouf, Ammar (University of Annaba(Algeria). Department of Mathematics)
We provide sufficient conditions for the existence of periodic solutions of the fourth-order differential equation . . . . x − (λ + µ). . . x + (1 + λµ)¨x − (λ + µ) ˙x + λµx = εF(x, x,˙ x, ¨. [...]
2012
Electronic journal of differential equations, Vol. 2012 Núm. 22 (2012) , p. 1-17  
15.
13 p, 758.9 KB Periodic orbits of the fourh-order non-autonomous differential equation u'''' q u'' p u= F(t,u,u',u'',u''') / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makhlouf, Ammar (University of Annaba(Algeria). Department of Mathematics)
We provide sufficient conditions for the existence of periodic solutions of the fourth-order differential equation u'''' + qu'' + pu = εF(t, u, u', u'', u'''), where q, p and ε are real parameters, ε is small and F is a nonlinear nonautonomous periodic function with respect to t. [...]
2012 - 10.1016/j.amc.2012.06.047
Applied Mathematics and Computation, Vol. 219 (2012) , p. 827-836  
16.
8 p, 712.0 KB Periodic orbits of a non-autonomous quadratic differential system obtained from third-order differential equations / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makhlouf, Ammar (University of Annaba. Department of Mathematics)
2012 - 10.1080/14689367.2011.638274
Dynamical Systems, Vol. 27 Núm. 2 (2012) , p. 161-168  
17.
9 p, 1.8 MB Periodic orbits of the spatial anisotropic Manev problem / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makhlouf, Ammar (University of Annaba. Department of Mathematics)
2012 - 10.1063/1.4771902
Journal of Mathematical Physics, Vol. 53 (2012) , p. 122903  
18.
6 p, 729.4 KB Limit cycles of a class of generalized Liénard polynomial equations / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makhlouf, Ammar (University of Annaba (Algeria). Department of Mathematics)
We prove that the generalized Liénard polynomial differential system x'=y^2p-1, y'=-x^2q-1 - f(x) y^2n-1, where p, q, and n are positive integers; is a small parameter; and f(x) is a polynomial of degree m which can have [m/2] limit cycles, where [x] is the integer part function of x.
2015 - 10.1007/s10883-014-9253-4
Journal of Dynamical and Control Systems, Vol. 21 (2015) , p. 189-192  
19.
6 p, 614.7 KB The Hilbert number of a class of differential equations / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makhlouf, Ammar (UBMA University Annaba (Algeria). Department of mathematics)
The notion of Hilbert number from polynomial differential systems in the plane of degree n can be extended to the differential equations of the form dr/dθ = a(θ) /∑n j=0 aj (θ)r j (∗) defined in the region of the cylinder where ∑n j=0 aj (θ)r j ̸= 0 as follows. [...]
2015
Journal of Applied Analysis and Computation, Vol. 5 Núm. 1 (2015) , p. 141-145  
20.
12 p, 390.4 KB Bifurcation of limit cycles from some uniform isochronous centers / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makhlouf, Ammar (University of Annaba. Department of Mathematics)
This article concerns with the weak 16-th Hilbert problem. More precisely, we consider the uniform isochronous centers x'=-y x^(n-1) y, y'= x x^(n-2) y^2 , for n = 2, 3, 4, and we perturb them by all homogeneous polynomial of degree 2, 3, 4, respectively. [...]
2015
Dynamics of Continuous, Discrete and Impulsive Systems. Series A. Mathematical Analysis, Vol. 22, Num. 5 (2015) , p. 381-394  

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4 Makhlouf, Amar
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