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Artículos, Encontrados 24 registros
Artículos Encontrados 24 registros  1 - 10siguientefinal  ir al registro:
1.
8 p, 600.2 KB Limit cycles bifurcating from a zero-Hopf equilibrium of a 3-dimensional continuous differential system / Kassa, Sara (University of Annaba. Department of Mathematics (Algeria)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makhlouf, Ammar (University of Annaba. Department of Mathematics (Algeria))
A zero-Hopf equilibrium of a differential system in R3 is an equilibrium point whose linear part has eigenvalues 0 and ±ωi with ω>0. We provide necessary and sufficient conditions for the existence of two or one limit cycles bifurcating from a zero-Hopf equilibrium of the following 3-dimensional Lypschizian differential systems x˙= y, y˙= z, z˙= −a y + 3y2 − xz −b, when a=b=0. [...]
2021 - 10.1007/s40863-021-00212-9
São Paulo Journal of Mathematical Sciences, Vol. 15 (February 2021) , p. 419-426  
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2.
7 p, 273.8 KB Zero-Hopf periodic orbits for a Rössler differential system / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makhlouf, Ammar (University of Annaba. Department of Mathematics (Algeria))
We study the zero-Hopf bifurcation of the Rössler differential system x· = x − xy − z, y· = x − ay, z· = b(cx − z), where the dot denotes the derivative with respect to the independent variable t and a, b, c are real parameters.
2020 - 10.1142/S0218127420501709
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 30, Issue 12 (September 2020) , art. 2050170  
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3.
7 p, 594.5 KB Periodic orbits bifurcating from a Hopf equilibrium of 2-dimensional polynomial Kolmogorov systems of arbitrary degree / Djedid, Djamila (University of Annaba. Department of Mathematics (Algeria)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makhlouf, Ammar (University of Annaba. Department of Mathematics (Algeria))
A Hopf equilibrium of a differential system in R2 is an equilibrium point whose linear part has eigenvalues ±ωi with ω ≠ 0. We provide necessary and sufficient conditions for the existence of a limit cycle bifurcating from a Hopf equilibrium of 2-dimensional polynomial Kolmogorov systems of arbitrary degree. [...]
2021 - 10.1016/j.chaos.2020.110489
Chaos, solitons and fractals, Vol. 142 (January 2021) , art. 110489  
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4.
8 p, 295.0 KB 4-dimensional zero-Hopf bifurcation for polynomial differentials systems with cubic homogeneous nonlinearities via averaging theory / Feddaoui, Amina (University of Annaba. Department of Mathematics (Algeria)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makhlouf, Ammar (University of Annaba. Department of Mathematics (Algeria))
The averaging theory of second order shows that for polynomial differential systems in ℝ4 with cubic homogeneous nonlinearities at least nine limit cycles can be born in a zero-Hopf bifurcation.
2020 - 10.1504/IJDSDE.2020.109106
International Journal of Dynamical Systems and Differential Equations, Vol. 10, Issue 4 (2020) , p. 321-328  
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5.
8 p, 690.4 KB N-dimensional zero-hopf bifurcation of polynomial differential systems via averaging theory of second order / Kassa, Sara (University of Annaba. Department of Mathematics (Algeria)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makhlouf, Ammar (University of Annaba. Department of Mathematics (Algeria))
Using the averaging theory of second order, we study the limit cycles which bifurcate from a zero-Hopf equilibrium point of polynomial vector fields with cubic nonlinearities in ℝn. We prove that there are at least 3n-2 limit cycles bifurcating from such zero-Hopf equilibrium points. [...]
2020 - 10.1007/s10883-020-09501-6
Journal of Dynamical and Control Systems, vol. 27 (June 2020) p. 283-291  
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6.
9 p, 569.4 KB Bifurcation of limit cycles from a two-dimensional center inside Rn / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makhlouf, Ammar (University of Annaba. Department of Mathematics (Algeria))
We study the bifurcation of limit cycles from the periodic orbits of a linear differential system in Rn perturbed inside a class of piecewise linear differential systems, which appears in a natural way in control theory. [...]
2010 - 10.1016/j.na.2009.08.022
Nonlinear Analysis : Theory, Methods and Applications, Vol. 72, Issue 3-4 (February 2010) , p. 1387-1392  
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7.
7 p, 395.3 KB Periodic solutions of a class of second-order differential / Bouderbala, Zeyneb (University of Annaba. Department of Mathematics (Algeria)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makhlouf, Ammar (University of Annaba. Department of Mathematics (Algeria))
We study the periodic solutions of the second-order differential equations of the form ¨ x+3x˙ x+x3 +F(t)(˙ x+x2)+G(t)x+H(t) = 0, where the functions F(t), G(t) and H(t) are periodic of period 2 π in the variable t.
2016 - 10.4236/am.2016.73021
Applied Mathematics, Vol. 7, Num. 3 (February 2016) , p. 227-232
2 documentos
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8.
18 p, 893.2 KB Periodic solutions for a class of Duffing differential equations / Feddaoui, Amina (University of Annaba. Department of Mathematics (Algeria)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makhlouf, Ammar (University of Annaba. Department of Mathematics (Algeria))
We provide sufficient conditions for the existence of periodic solutions in the class of Duffing differential equations x" + c(t)x' + a(t)x + b(t)x3 = h(t,x), where the functions a(t), b(t), c(t) and h(t,x) are C2 and T-periodic in the variable t.
2019 - 10.2478/mjpaa-2019-0007
Moroccan Journal of Pure and Applied Analysis, Vol. 5, Issue 1 (June 2019) , p. 86-103
2 documentos
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9.
17 p, 727.3 KB Periodic solutions for periodic second-order differential equations with variable potentials / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makhlouf, Ammar (University of Annaba. Department of Mathematics (Algeria))
We provide sufficient conditions for the existence of periodic solutions of the second-order differential equation with variable potentials -(px')'(t) - r(t)p(t)x'(t) + q(t)x(t) = f(t, x(t)), where the functions p(t) > 0, q(t), r(t) and f(t, x) are C and T-periodic in the variable t.
2018 - 10.1515/jaa-2018-0013
Journal of Applied Analysis, Vol. 24, Issue 2 (December 2018) , p. 127-137  
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10.
8 p, 256.2 KB On the periodic solutions of the relativistic driven harmonic oscillator / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makhlouf, Ammar (University of Annaba. Department of Mathematics (Algeria))
Using the averaging theory, we prove the existence of periodic orbits with small velocities with respect to the speed of light in the forced harmonic oscillator with relativistic effects in dimension one.
2020 - 10.1063/1.5129377
Journal of Mathematical Physics, Vol. 61, Issue 1 (January 2020) , art. 012501  
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Artículos : Encontrados 24 registros   1 - 10siguientefinal  ir al registro:
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