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Dipòsit Digital de Documents de la UAB 23 registres trobats  1 - 10següentfinal  anar al registre: La cerca s'ha fet en 0.02 segons. 
1.
13 p, 345.6 KB Limit cycles for some families of smooth and non-smooth planar systems / Buzzi, Claudio (Universidade Estadual Paulista Julio de Mesquita Filho. Mathematics Department (Brazil)) ; Carvalho, Yagor Romano (Universidade Estadual Paulista Julio de Mesquita Filho. Mathematics Department (Brazil)) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We apply the averaging method in a class of planar systems given by a linear center perturbed by a sum of continuous homogeneous vector fields, to study lower bounds for their number of limit cycles. [...]
2021 - 10.1016/j.na.2021.112298
Nonlinear Analysis : Theory, Methods and Applications, Vol. 207 (June 2021) , p. 112298  
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2.
22 p, 352.2 KB Criticality via first order development of the period constants / Sánchez-Sánchez, Iván (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this work we study the criticality of some planar systems of polynomial differential equations having a center for various low degrees n. To this end, we present a method which is equivalent to the use of the first non-identically zero Melnikov function in the problem of limit cycles bifurcation, but adapted to the period function. [...]
2021 - 10.1016/j.na.2020.112164
Nonlinear Analysis : Theory, Methods and Applications, Vol. 203 (February 2021) , art. 112164  
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3.
14 p, 901.3 KB Dynamics of a family of Lotka-Volterra systems in R³ / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Martínez, Y. Paulina (Centre de Recerca Matemàtica)
We provide the phase portraits of the 3-dimensional Lotka-Volterra systems ẋ = x (y + az), ẏ = y (x + z), ż = bz (−ax + y), for all the values of the parameters a and b, in the finite region and in the infinity region through the Poincaré compactification. [...]
2020 - 10.1016/j.na.2020.111915
Nonlinear Analysis : Theory, Methods and Applications, Vol. 199 (October 2020) , art. 111915  
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4.
9 p, 569.4 KB Bifurcation of limit cycles from a two-dimensional center inside Rn / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makhlouf, Ammar (University of Annaba. Department of Mathematics (Algeria))
We study the bifurcation of limit cycles from the periodic orbits of a linear differential system in Rn perturbed inside a class of piecewise linear differential systems, which appears in a natural way in control theory. [...]
2010 - 10.1016/j.na.2009.08.022
Nonlinear Analysis : Theory, Methods and Applications, Vol. 72, Issue 3-4 (February 2010) , p. 1387-1392  
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5.
10 p, 293.6 KB Resonance of bounded isochronous oscillators / Rojas, David (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística)
An oscillator is called isochronous if all motions have a common period. When the system is forced by a time-dependent perturbation with the same period the phenomenon of resonance may appear. We give a sufficient condition on the perturbation in order that resonance occurs when the period annulus of the isochronous oscillator is bounded. [...]
2020 - 10.1016/j.na.2019.111680
Nonlinear Analysis : Theory, Methods and Applications, Vol. 192 (March 2020) , art. 111680  
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6.
20 p, 619.5 KB The center and cyclicity problems for quartic linear-like reversible systems / Da Cruz, Leonardo Pereira Costa (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Romanovski, Valery G. (University of Maribor. Center for Applied Mathematics and Theoretical Physics (Slovenia)) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we study a family of quartic linear-like reversible polynomial systems having a nondegenerate center at the origin. This family has degree one with respect to one of the variables. We are interested in systems in this class having two extra nondegenerate centers outside the straight line of symmetry. [...]
2020 - 10.1016/j.na.2019.111593
Nonlinear Analysis : Theory, Methods and Applications, Vol. 190 (January 2020) , art. 111593  
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7.
11 p, 729.0 KB Orbitally universal centers / Algaba, Antonio (Universidad de Huelva. Departamento de Ciencias Integradas) ; García, Cristóbal (Universidad de Huelva. Departamento de Ciencias Integradas) ; Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we define when a polynomial differential system is orbitally universal and we show the relevance of this notion in the classical center problem, i. e. in the problem of distinguishing between a focus and a center.
2020 - 10.1016/j.na.2020.111746
Nonlinear Analysis : Theory, Methods and Applications, Vol. 195 (June 2020) , art. 111746  
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8.
62 p, 2.3 MB A quasiperiodically forced skew-product on the cyclinder without fixed-curves / Alsedà i Soler, Lluís (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mañosas Capellades, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Morales, Leopoldo (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In [FJJK] the Sharkovskiı Theorem was extended to periodic orbits of strips of quasiperiodic skew products in the cylinder. In this paper we deal with the following natural question that arises in this setting: Does Sharkovskiı Theorem holds when restricted to curves instead of general strips? We answer this question in the negative by constructing a counterexample: We construct a map having a periodic orbit of period 2 of curves (which is, in fact, the upper and lower circles of the cylinder) and without any invariant curve. [...]
2016 - 10.1016/j.na.2016.08.011
Nonlinear Analysis : Theory, Methods and Applications, Vol. 145 (2016) , p. 199-263  
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9.
21 p, 469.1 KB Traveling surface waves of moderate amplitude in shallow water / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Geyer, Anna (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We study traveling wave solutions of an equation for surface waves of moderate amplitude arising as a shallow water approximation of the Euler equations for inviscid, incompressible and homogenous fluids. [...]
2014 - 10.1016/j.na.2014.02.005
Nonlinear Analysis : Theory, Methods and Applications, Núm. 102 (2014) , p. 105-119  
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10.
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  
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