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UAB Digital Repository of Documents 37 records found  1 - 10nextend  jump to record: Search took 0.01 seconds. 
1.
22 p, 1.3 MB Existence of a cylinder foliated by periodic orbits in the generalized Chazy differential equation / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Novaes, Douglas D. (Universidade Estadual de Campinas. Instituto de Matemática, Estatística e Computação Científica. Departamento de Matemática) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemática)
The generalized Chazy differential equation corresponds to the following two-parameter family of differential equations x ⃛ + | x | q x ¨ + k | x | q x x ˙ 2 = 0, which has its regularity varying with q, a positive integer. [...]
2023 - 10.1063/5.0138309
Chaos, Vol. 33, Issue 7 (July 2023) , art. 73104  
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2.
13 p, 764.5 KB Periodic bouncing solutions of the Lazer-Solimini equation with weak repulsive singularity / Rojas, David (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística) ; Torres, Pedro J. (Universidad de Granada. Departamento de Matemática Aplicada)
We prove the existence and multiplicity of periodic solutions of bouncing type for a second-order differential equation with a weak repulsive singularity. Such solutions can be cataloged according to the minimal period and the number of elastic collisions with the singularity in each period. [...]
2022 - 10.1016/j.nonrwa.2021.103441
Nonlinear Analysis: Real World Applications, Vol. 64 (April 2022) , art. 103441
2 documents
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3.
25 p, 24.1 MB Approximate Analytical Periodic Solutions to the Restricted Three-Body Problem with Perturbation, Oblateness, Radiation and Varying Mass / Gao, Fabao (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Wang, Yongqing (Yangzhou University. School of Mathematical Science)
Against the background of a restricted three-body problem consisting of a supergiant eclipsing binary system, the two primaries are composed of a pair of bright oblate stars whose mass changes with time. [...]
2020 - 10.3390/universe6080110
Universe, Vol. 6, Núm. 8 (August 2020) , art. 110  
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4.
21 p, 392.8 KB A new approach for the study of limit cycles / García-Saldaña, Johanna Denise (Universidad Católica de la Santísima Concepción. Departamento de Matemática y Física Aplicadas (Chile)) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Giacomini, Hector (Centre national de la recherche scientifique (França). Institut Denis Poisson)
We prove that star-like limit cycles of any planar polynomial system can also be seen either as solutions defined on a given interval of a new associated planar non-autonomous polynomial system or as heteroclinic solutions of a 3-dimensional polynomial system. [...]
2020 - 10.1016/j.jde.2020.04.038
Journal of differential equations, Vol. 269, Issue 7 (September 2020) , p. 6269-6292  
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5.
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 documents
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6.
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 documents
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7.
11 p, 295.2 KB Periodic solutions of a class of Duffing differential equations / Benterki, Rebiha (Université de Bordj Bou Arréridj. Département de Mathématiques (Algeria)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this work we study the existence of new periodic solutions for the well knwon class of Duffing differential equation of the form x" + cx' + a(t)x + b(t)x3 = h(t), where c is a real parameter, a(t), b(t) and h(t) are continuous T-periodic functions. [...]
2019 - 10.12150/jnma.2019.167
Journal of Nonlinear Modeling and Analysis, Vol. 1, Issue 2 (June 2019) , p. 167-177  
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8.
16 p, 342.0 KB Periodic solutions of the Duffing differential equation revisited via the averaging theory / Benterki, Rebiha (Université de Bordj Bou Arréridj. Département de Mathématiques (Algeria)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We use three different results of the averaging theory of first order for studying the existence of new periodic solutions in the two Duffing differential equations ¨ y + asiny = bsint and ¨ y + ay−cy3 = bsint, where a, b and c are real parameters.
2019 - 10.12150/jnma.2019.11
Journal of Nonlinear Modeling and Analysis, Vol. 1, Issue 1 (March 2019) , p. 11-26  
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9.
17 p, 362.7 KB A new result on averaging theory for a class of discontinuous planar differential systems with applications / Itikawa, Jackson (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Novaes, Douglas D. (Universidade Estadual de Campinas. Departamento de Matemática (Brazil))
We develop the averaging theory at any order for computing the periodic solutions of periodic discontinuous piecewise differential system of the form dr/dθ= r'={F+(θ, r, ϵ) if 0≤ θ ≤ α, F-(θ, r, ϵ) if α ≤ θ ≤ 2π, where F±(θ, r, ϵ) = Σk i=1 ϵiF± i (θ, r) + ϵk+1R ± (θ, r, ϵ) with θ ϵ S and r ϵ D, where D is an open interval of ℝ+, and ϵ is a small real parameter. [...]
2017 - 10.4171/rmi/970
Revista Matemática Iberoamericana, Vol. 33, Issue 4 (2017) , p. 1247-1265  
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10.
14 p, 349.5 KB Periodic solutions of the Nathanson's and the comb-drive models / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Nuñez, Daniel E. (Pontificia Universidad Javeriana. Departamento de Ciencias Naturales y Matemáticas) ; Rivera, Andrés (Pontificia Universidad Javeriana. Departamento de Ciencias Naturales y Matemáticas)
We provide sufficient conditions for the existence and stability properties of periodic solutions of the second-order non-autonomous differential equation of the Nathanson's model ẍ+x+aẋ−[Formula presented]=0,and of the Comb-drive model ẍ+x+aẋ−[Formula presented]=0,where x∈R, a, b, v, δ are positive parameters and v(ωt) is a 2π∕ω-periodic function. [...]
2018 - 10.1016/j.ijnonlinmec.2018.05.009
International Journal of Non-Linear Mechanics, Vol. 104 (September 2018) , p. 109-115  
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