Resultats globals: 20 registres trobats en 0.03 segons.
Articles, 20 registres trobats
Articles 20 registres trobats  1 - 10següent  anar al registre:
1.
16 p, 425.7 KB Periodic solutions for the generalized anisotropic Lennard-Jones Hamiltonian / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Long, Yiming (Nankai University(China). Chern Institute of Mathematics and LPMC)
We characterize the circular periodic solutions of the generalized Lennard–Jones Hamiltonian system with two particles in Rn, and we analyze what of these periodic solutions can be continued to periodic solutions of the anisotropic generalized Lennard–Jones Hamiltonian system. [...]
2015 - 10.1007/s12346-015-0167-7
Qualitative Theory of Dynamical Systems, Vol. 14 (2015) , p. 291-311  
2.
10 p, 718.0 KB On the limit cycles of the Floquet differential equations / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Rodrigues, Ana (Universidade do Porto(Portugal). Centro de Matemática)
We provide sufficient conditions for the existence of limit cycles for the Floquet differential equations x˙(t) = Ax(t) + ε(B(t)x(t)+b(t)), where x(t) and b(t) are column vectors of length n, A and B(t) are n×n matrices, the components of b(t) and B(t) are T–periodic functions, the differential equation x˙(t) = Ax(t) has a plane filled with T–periodic orbits, and ε is a small parameter. [...]
2014 - 10.3934/dcdsb.2014.19.1129
Discrete and Continuous Dynamical Systems. Series B, Vol. 19 Núm. 4 (2014) , p. 1129-1136  
3.
19 p, 777.2 KB Periodic solutios of El niño model thorugh the Vallis differential system / D. Euzébio, Rodrigo (UNESP(Brazil). Departament de Matemática) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
By rescaling the variables, the parameters and the periodic function of the Vallis differential system we provide sufficient conditions for the existence of periodic solutions and we also characterize their kind of stability. [...]
2014 - 10.3934/dcds.2014.34.3455
Discrete and Continuous Dynamical Systems. Series A, Vol. 34 Núm. 9 (2014) , p. 3455-3469  
4.
15 p, 424.0 KB Higher order averaging theory for finding periodic solutions via Brouwer degree / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Novaes, Douglas D. (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Teixeira, Marco Antonio (Universidade Estadual de Campinas(Brazil). Departamento de Matemática)
In this paper we deal with nonlinear differential systems of the form x′(t) = Xki=0εiFi(t, x) + εk+1R(t, x, ε), where Fi : R × D → Rn for i = 0, 1, · · · , k, and R : R × D × (−ε0, ε0) → Rn are continuous functions, T–periodic in the first variable, being D an open subset of Rn, and ε a small parameter. [...]
2014 - 10.1088/0951-7715/27/3/563
Nonlinearity, Vol. 27 (2014) , p. 563-583  
5.
29 p, 488.3 KB Periodic orbits from second order perturbation via rational trigonometric integrals / Prohens, Rafel (Universitat de les Illes Balears. Departament de Ciències Matemàtiques i Informàtica) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The second order Poincaré-Pontryagin-Melnikov perturbation theory is used in this paper to study the number of bifurcated periodic orbits from certain centers. This approach also allows us to give the shape and the period up to first order. [...]
2014 - 10.1016/j.physd.2014.05.002
Physica D. Nonlinear Phenomena, Vol. 280-281 (2014) , p. 59-72  
6.
17 p, 467.5 KB Basin of attraction of triangular maps with applications / Cima, Anna (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We consider planar triangular maps xn+1 = f0(un) + f1(un)xn, un+1 = φ(un). These maps preserve the fibration of the plane given by F = {φ(u) = c, c ∈ Image(φ)}. We assume that there exists an invariant attracting fiber {u = u∗} for the dynamical system generated by φ and we study the limit dynamics of those points in the basin of attraction of this invariant fiber, assuming that either it contains a global attractor, or it is filled by fixed or 2-periodic points. [...]
2014 - 10.1080/10236198.2013.852187
Journal of Difference Equations and Applications, Vol. 20 Núm. 3 (2014) , p. 423-437  
7.
20 p, 395.4 KB On nonsmooth perturbations of nondegenerate planar centers / Novaes, Douglas D. (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We provide sufficient conditions for the existence of limit cycles of non–smooth perturbed planar centers, when the set of discontinuity is an algebraic variety. It is introduced a mechanism which allows us to deal with such system, even in higher dimension. [...]
2014 - 10.5565/287237
Publicacions Matematiques, Vol. Extra (2014) , p. 395-420  
8.
12 p, 632.5 KB Periodic solutions of a Galactic potential / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Pasca, Daniel (University of Oradea(Romania). Department of Mathematics and Informatics) ; Valls, Clàudia (Universidade Técnica de Lisboa. Departamento de Matemática)
We study analytically the periodic solutions of a Hamiltonian in R^6 given by the kinetic energy plus a galactic potential, using averaging theory of first order. The model perturbs a harmonic oscillator, and has been extensively used in order to describe local motion in galaxies near an equilibrium point.
We study analytically the periodic solutions of a Hamiltonian in R6 given by the kinetic energy plus a galactic potential, using averaging theory of first order. The model perturbs a harmonic oscillator, and has been extensively used in order to describe local motion in galaxies near an equilibrium point.

2014 - 10.1016/j.chaos.2014.02.005
Chaos, Solitons and Fractals, Vol. 61 (2014) , p. 38-43  
9.
16 p, 329.9 KB Improving the averaging theory for computing periodic solutions of the differential equations / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Novaes, Douglas D. (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
For m = 1, 2, 3, we consider differential systems of the form x0 = F0(t, x) +Xmi=1εiFi(t, x) + εm+1R(t, x, ε), where Fi: R × D → Rn, and R : R × D × (−ε0, ε0) → Rn are Cm+1 functions, and T–periodic in the first variable, being D an open subset of Rn, and ε a small parameter. [...]
2014 - 10.1007/s00033-014-0460-3
ZAMP. Journal of Applied Mathematics and Physics, Vol. 66 Núm. 4 (2014) , p. 1401-1412  
10.
16 p, 399.3 KB Existence of non-trivial limit cycles in Abel equations with symmetries / Álvarez Torres, María Jesús (Universitat de les Illes Balears. Departament de Matemàtiques i Informàtica) ; Bravo, Jose Luis (Universidad de Extremadura. Departamento de Matemáticas) ; Fernández, Manuel (Universidad de Extremadura. Departamento de Matemáticas)
We study the periodic solutions of the generalized Abel equation x′ = a1A1(t)xn1 +a2A2(t)xn2 +a3A3(t)xn3, where n1, n2, n3 >1 are distinct integers, a1, a2, a3 ∈ R, and A1, A2, A3 are 2π-periodic analytic functions such that A1(t) sin t, A2(t) cos t, A3(t) sin t cos t are π-periodic positive even functions. [...]
2013 - 10.1016/j.na.2013.02.001
Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal. Series A: Theory and Methods, Vol. 84 (2013) , p. 18-28  

Articles : 20 registres trobats   1 - 10següent  anar al registre:
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