Articles

Articles 115 registres trobats  inicianterior91 - 100següentfinal  anar al registre: La cerca s'ha fet en 0.01 segons. 
91.
7 p, 623.4 KB On the periodic solutions of a class of Duffing differential equations / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Roberto, Lucy Any (Ibilce - UNESP(Brasil). Departamento de Matemática)
In this work we study the periodic solutions, their stability and bifurcation for the class of Duffing differential equation x'' + cx' +a(t)x + b(t)x3 = λh(t), where c > 0 is a constant, λ is a real parameter, a(t), b(t) and h(t) are continuous T-periodic functions. [...]
2013 - 10.3934/dcds.2013.33.277
Discrete and continuous dynamical systems. Series A, Vol. 33 Núm. 1 (2013) , p. 277-282  
92.
12 p, 272.4 KB Piecewise linear differential systems with two real saddles / Artés Ferragud, Joan Carles (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Medrado, Joao Carlos (Universidade Federal de Goiás(Brazil).Instituto de Matemática e Estatística) ; Teixeira, Marco Antonio (Universidade Estadual de Campinas(Brazil). Departamento de Matemática)
In this paper we study piecewise linear differential systems formed by two regions separated by a straight line so that each system has a real saddle point in its region of definition. If both saddles are conveniently situated, they produce a transition flow from a segment of the splitting line to another segment of the same line, and this produces a generalized singular point on the line. [...]
2013 - 10.1016/j.matcom.2013.02.007
Mathematics and computers in simulation, Vol. 95 (2013) , p. 13-22  
93.
26 p, 622.2 KB Shape and period of limit cycles bifurcating from a class of Hamiltonian period annulus / Prohens, Rafel (Universitat de les Illes Balears. Departament de Ciències Matemàtiques i Informàtica) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this work we are concerned with the problem of shape and period of isolated periodic solutions of perturbed analytic radial Hamiltonian vector fields in the plane. Fran¸coise develop a method to obtain the first non vanishing Poincaré-Pontryagin-Melnikov function. [...]
2013 - 10.1016/j.na.2012.10.017
Nonlinear Analysis : Theory, Methods and Applications, Vol. 81 (2013) , p. 130-148  
94.
26 p, 700.8 KB The period function of generalized Loud's centers / Marín Pérez, David (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Villadelprat Yagüe, Jordi (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques)
In this paper a three parameter family of planar differential systems with homogeneous nonlinearities of arbitrary odd degree is studied. This family is an extension to higher degree of the Loud's systems. [...]
2013 - 10.1016/j.jde.2013.07.025
Journal of differential equations, Vol. 255 (2013) , p. 3071-3097  
95.
17 p, 629.0 KB A proof of Perko's conjectures for the Bogdanov-Takens system / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The Bogdanov-Takens system has at most one limit cycle and, in the parameter space, it exists between a Hopf and a saddle-loop bifurcation curves. The aim of this paper is to prove the Perko's conjectures about some analytic properties of the saddle-loop bifurcation curve. [...]
2013 - 10.1016/j.jde.2013.07.006
Journal of differential equations, Vol. 255 (2013) , p. 2655-2671  
96.
38 p, 3.6 MB Global phase portraits of some reversible cubic centers with noncollinear singularities / Caubergh, Magdalena (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The results in this paper show that the cubic vector fields ˙x = −y + M(x, y) − y(x2 + y2), y˙ = x + N(x, y) + x(x2 + y2), where M, N are quadratic homogeneous polynomials, having simultaneously a center at the origin and at infinity, have at least 61 and at most 68 topologically different phase portraits. [...]
2013 - 10.1142/S0218127413501617
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 23 Núm. 9 (2013) , p. 1350161 (30 pages)  
97.
13 p, 280.0 KB Simultaneous periodic orbits bifurcating from two zero-Hopf equilibria in a tritrophic food chain model / Castellanos, Víctor (UJAT(México).Division Académica de Ciencias Básicas) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Quilantán, Ingrid (UJAT(México).Division Académica de Ciencias Básicas)
We are interested in the coexistence of three species forming a tritrophic food chain model. Considering a linear grow for the lowest trophic species or prey, and a type III Holling functional response for the middle and highest trophic species (first and second predator respectively). [...]
2013 - 10.4236/jamp.2013.17005
Journal of Applied Mathematics and Physics, Vol. 1 (2013) , p. 31-38  
98.
9 p, 632.9 KB Zero-Hopf bifurcation in a predator-prey model / Falconi, Manuel (UNAM(México). Departamento de Matemáticas) ; Gonzalez-Olivares, Eduardo (UNAM(México). Departamento de Matemáticas) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We study the competition between two species according the following modification of the Holling-Tanner II model x'= x[r(1 −x/K)−qy/x2 + a], y' = sy (1 −y/nx + c). Of course, x ≥ 0, y ≥ 0 and the parameters a, c, K, n, q, r and s are positive. [...]
2013
Scientiae Mathematicae Japonicae, Vol. 76 Núm. 1 (2013) , p. 119-127  
99.
17 p, 323.7 KB Periodic orbits near equilibria via averaging theory of second order / Barreira, Luis (Instituto Superior Técnico(Portugal). Departamento de Matemática) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Instituto Superior Técnico(Portugal). Departamento de Matemática)
Lyapunov, Weinstein and Moser obtained remarkable theorems giving sufficient conditions for the existence of periodic orbits emanating from an equilibrium point of a differential system with a first integral. [...]
2012 - 10.3846/13926292.2012.736090
Mathematical Modelling and Analysis, Vol. 17 Núm. 5 (2012) , p. 715-731  
100.
15 p, 798.6 KB Bifurcation of limit cycle from a n-dimensional linear center inside a class of piecewise linear differential systems / Cardin, Pedro Toniol (IBILCE-UNESP(Brazil)) ; de Carvalho, Tiago (IBILCE-UNESP(Brazil)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Let n be an even integer. We study the bifurcation of limit cycles from the periodic orbits of the n-dimensional linear center given by the differential system x˙ 1 = −x2, x˙ 2 = x1, . . . , x˙ n−1 = −xn, x˙ n = xn−1, perturbed inside a class of piecewise linear differential systems. [...]
2012 - 10.1016/j.na.2011.08.013
Nonlinear Analysis : Theory, Methods and Applications, Vol. 75 (2012) , p. 143-152  

Articles : 115 registres trobats   inicianterior91 - 100següentfinal  anar al registre:
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