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Articles 24 records found  previous11 - 20next  jump to record: Search took 0.01 seconds. 
11.
17 p, 467.5 KB Basin of attraction of triangular maps with applications / Cimà, Anna (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mañosa Fernández, Víctor 1971- (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III)
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  
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12.
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 1973- (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  
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13.
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  
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14.
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 Ciències 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 and Applications, Vol. 84 (2013) , p. 18-28  
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15.
15 p, 517.2 KB Perturbed damped pendulum: finding periodic solutions via averaging method / Novaes, Douglas D. (Universidade Estadual de Campinas(Brazil). Departamento de Matemática)
Using the damped pendulum model we introduce the averaging method to study the periodic solutions of dynamical systems with small non-autonomous perturbation. We provide sufficient conditions for the existence of periodic solutions with small amplitude of the non-linear perturbed damped pendulum. [...]
2013 - 10.1590/s1806-11172013000100014
Revista Brasileira de Ensino de Física, Vol. 35 Núm. 1 (2013) , p. 7 pages  
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16.
15 p, 433.8 KB On the birth of limit cycles for non-smooth dynamical systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Novaes, Douglas D. (Universidade Estadual de Campinas (Brazil). Departamento de Matemática) ; Teixeira, Marco Antonio (Universidade Estadual de Campinas (Brazil). Departamento de Matemática)
The main objective of this work is to develop, via Brower degree theory and regularization theory, a variation of the classical averaging method for detecting limit cycles of certain piecewise continuous dynamical systems. [...]
2015 - 10.1016/j.bulsci.2014.08.011
Bulletin des Sciences Mathematiques, Vol. 139 (2015) , p. 229-244  
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17.
21 p, 834.8 KB Averaging theory for discontinuous piecewise differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mereu, Ana Cristina (Universidade Federal de Sao Carlos (Brazil). Departamento de Física, Química e Matematica) ; Novaes, Douglas D. (Universidade Estadual de Campinas (Brazil). Departamento de Matematica)
We develop the averaging theory of first and second order for studying the periodic solutions of discontinuous piecewise differential systems in arbitrary dimension and with an arbitrary number of systems with the minimal conditions of differentiability. [...]
2015 - 10.1016/j.jde.2015.01.022
Journal of differential equations, Vol. 258 (2015) , p. 4007-4032  
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18.
20 p, 413.0 KB Stability of singular limit cycles for Abel equations / Bravo, Jose Luis (Universidad de Extremadura. Departamento de Matemáticas) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Fernández, Manuel (Universidad de Extremadura. Departamento de Matemáticas)
We obtain a criterion for determining the stability of singular limit cycles of Abel equations x = A(t)x3 + B(t)x2 . This stability controls the possible saddle-node bifurcations of limit cycles. Therefore, studying the Hopf-like bifurcations at x = 0, together with the bifurcations at infinity of a suitable compactification of the equations, we obtain upper bounds of their number of limit cycles. [...]
2015 - 10.3934/dcds.2015.35.1873
Discrete and continuous dynamical systems. Series A, Vol. 35 Núm. 5 (2015) , p. 1873-1890  
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19.
18 p, 581.3 KB Hopf and zero-Hopf bifurcations on the Hindmarsh-Rose system / Buzzi, Claudio (IBILCE-UNESP (Brazil). Departamento de Matemática) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Medrado, Joao Carlos (IME-UFG (Brazil). Instituto de Matemática e Estatística)
We prove the existence of the classical Hopf bifurcation and of the zero--Hopf bifurcation in the Hindmarsh-Rose system. For doing this some adequate change of parameters must be done in order that the computations become easier.
2015 - 10.1007/s11071-015-2429-y
Nonlinear dynamics, 2015, p. 1-8  
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20.
11 p, 325.5 KB Detecting periodic orbits in some 3d chaotic quadratic polynomial differential systems / de Carvalho, Tiago (Faculdade de Ciências. Departamento de Matemática) ; D. Euzébio, Rodrigo (IMECC-UNICAMP. Departamento de Matemática) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; J. Tonon, Durval (Universidade Federal de Goias (Brazil))
Using the averaging theory we study the periodic solutions and their linear stability of the 3-dimensional chaotic quadratic polynomial differential systems without equilibria studied in [3]. All these differential systems depend only on one-parameter.
2015 - 10.3934/dcdsb.2016.21.1
Discrete and continuous dynamical systems. Series B, Vol. 21 Núm. 1 (2015) , p. 1-11  
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