Publications internationales
2022
Berrehail, Chems Eddine and Makhlouf, Amar. (2022), Periodic solutions for a class of perturbed sixth-order autonomous differential equations. Arab Journal of Mathematical Sciences : Emerald Publishing Limited, https://www.emerald.com/insight/content/doi/10.1108/AJMS-02-2022-0045/full/html
Rabia, Afef Amina and Makhlouf, Amar. (2022), Periodic solutions for differential systems in R^5 and R^6. Journal of Dynamical and Control Systems : SPRINGER/PLENUM PUBLISHERS 233 SPRING ST, NEW YORK, NY 10013 USA, https://link.springer.com/article/10.1007/s10883-022-09601-5
Melki, Houdeifa and Makhlouf, Amar. (2022), Maximum number of limit cycles for generalized Kukles differential system. Journal of Applied Analysis : De Gruyter, https://www.degruyter.com/document/doi/10.1515/jaa-2021-2070/html?lang=de
2021
Melki, Houdeifa and Makhlouf, Amar. (2021), Limit cycles of a planar differential system via averaging theory. Open Journal of Mathematical Analysishttp://articlegates.uk/id/eprint/2015/
Diab, Zouhair and Guirao, Juan LG and Llibre, Jaume and Makhlouf, Amar. (2021), Limit cycles of a generalised Mathieu differential system. Applied Mathematics and Nonlinear Sciences : Sciendo, https://sciendo.com/article/10.2478/amns.2021.2.00180
Bouattia, Yassine and Boudjehem, Djalil and Makhlouf, Ammar and Zubair, Sulima Ahmed and Idris, Sahar Ahmed. (2021), A Note on Small Amplitude Limit Cycles of Liénard Equations Theory. Mathematical Problems in Engineering : Hindawi Limited, https://www.hindawi.com/journals/mpe/2021/3101000/
Djedid, Djamila and Bendib, El Ouahma and Makhlouf, Amar. (2021), Four-dimensional Zero-Hopf Bifurcation of Quadratic Polynomial Differential System, via Averaging Theory of Third Order. Journal of Dynamical and Control Systems : Springer, https://link.springer.com/article/10.1007/s10883-020-09528-9
Kassa, Sara and Llibre, Jaume and Makhlouf, Ammar. (2021), N-dimensional zero-hopf bifurcation of polynomial differential systems via averaging theory of second order. Journal of Dynamical and Control Systems : Springer, https://link.springer.com/article/10.1007/s10883-020-09501-6
Menaceur, Amor and Boulaaras, Salah Mahmoud and Makhlouf, Amar and Rajagobal, Karthikeyan and Abdalla, Mohamed. (2021), Limit Cycles of a Class of Perturbed Differential Systems via the First-Order Averaging Method. Complexity : Hindawi Limited, https://www.hindawi.com/journals/complexity/2021/5581423/
Kassa, Sara and Llibre, Jaume and Makhlouf, Amar. (2021), Limit cycles bifurcating from a zero-Hopf equilibrium of a 3-dimensional continuous differential system. São Paulo Journal of Mathematical Sciences : Springer, https://link.springer.com/article/10.1007/s40863-021-00212-9
Feddaoui, Amina and Llibre, Jaume and Berhail, Chemseddine and Makhlouf, Amar. (2021), Periodic solutions for differential systems in ℝ^3 and ℝ^4. Applied Mathematics and Nonlinear Sciences : Sciendo, https://sciendo.com/article/10.2478/amns.2020.2.00079
Djedid, Djamila and Llibre, Jaume and Makhlouf, Amar. (2021), Periodic orbits bifurcating from a Hopf equilibrium of 2-dimensional polynomial Kolmogorov systems of arbitrary degree. Chaos, Solitons and Fractals : Elsevier, https://www.sciencedirect.com/science/article/abs/pii/S096007792030881X
2020
Llibre, Jaume and Makhlouf, Ammar. (2020), Zero-Hopf Periodic Orbits for a Rössler Differential System. International Journal of Bifurcation and Chaos : International Journal of Bifurcation and Chaos, https://ui.adsabs.harvard.edu/abs/2020IJBC...3050170L/abstract
Berrehail, Chems Eddine and Bouslah, Zineb and Makhlouf, Amar. (2020), On the limit cycles for a class of eighth-order differential equations. Moroccan Journal of Pure and Applied Analysis : Sciendo, https://sciendo.com/article/10.2478/mjpaa-2020-0005
Llibre, Jaume and Makhlouf, Amar. (2020), On the periodic solutions of the relativistic driven harmonic oscillator. Journal of Mathematical Physics : AIP Publishing LLC,
Feddaoui, Amina and Llibre, Jaume and Makhlouf, Amar. (2020), 4-dimensional zero-Hopf bifurcation for polynomial differentials systems with cubic homogeneous nonlinearities via averaging theory. International Journal of Dynamical Systems and Differential Equations : Inderscience Publishers (IEL), https://www.inderscienceonline.com/doi/abs/10.1504/IJDSDE.2020.109106
2019
Feddaoui, Amina and Llibre, Jaume and Makhlouf, Amar. (2019), Periodic solutions for a class of Duffing differential equations. Moroccan Journal of Pure and Applied Analysis : Sciendo, https://sciendo.com/article/10.2478/mjpaa-2019-0007
Amor Menaceur, Amar Makhlouf. (2019), The maximum number of limit cycle for a Class of Polynomial Differential Systems. Conference: Journée de Mathématiques Appliquées JMA'2019, April 28, 2019, Mila-Algeria : Wiley Online Library, https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.5385
Bey, Meryem and Badi, Sabrina and Fernane, Khairedine and Makhlouf, Amar. (2019), The number of limit cycles bifurcating from the periodic orbits of an isochronous center. Mathematical Methods in the Applied Sciences : Wiley Online Library, https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.5385
Boulfoul, Amel and Makhlouf, Amar and Mellahi, Nawal. (2019), ON THE LIMIT CYCLES FOR A CLASS OF GENERALIZED KUKLES DIFFERENTIAL SYSTEMS. Journal of Applied Analysis and Computation : Wilmington Scientific Publishers, http://www.jaac-online.com/article/doi/10.11948/2156-907X.20180083
Llibre, Jaume and Makhlouf, Ammar. (2019), Zero-Hopf Periodic Orbit of a Quadratic System of Differential Equations Obtained from a Third-Order Differential Equation. Differential Equations and Dynamical Systems : Springer, https://link.springer.com/article/10.1007/s12591-017-0375-5
2018
Llibre, Jaume and Makhlouf, Ammar. (2018), Periodic solutions for periodic second-order differential equations with variable potentials. Journal of Applied Analysis : De Gruyter, https://www.degruyter.com/document/doi/10.1515/jaa-2018-0013/html?lang=en
Llibre, Jaume and Makhlouf, Ammar. (2018), Periodic solutions for periodic second-order differential equations with variable potentials. Journal of Applied Analysis : De Gruyter, https://www.degruyter.com/document/doi/10.1515/jaa-2018-0013/html?lang=en
2017
Llibre, Jaume and Makhlouf, Amar. (2017), Periodic solutions of some classes of continuous second-order differential equations. Discrete and Continuous Dynamical Systems-Series B : Southwest Missouri State University, https://www.aimsciences.org/article/doi/10.3934/dcdsb.2017022
Amar, Makhlouf and Djamel, Debbabi. (2017), Periodic solutions of some classes of continuous third-order differential equations. Chaos, Solitons and Fractals : Elsevier, https://www.sciencedirect.com/science/article/abs/pii/S0960077916303484
Amar, Makhlouf and Lilia, Bousbiat and others. (2017), Periodic Solutions of Some Polynomial Differential Systems in R^4. Journal of Applied Mathematics and Physics : Scientific Research Publishing, https://www.scirp.org/html/13-1720769_73875.htm