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Depósito Digital de Documentos de la UAB Encontrados 65 registros  anterior11 - 20siguientefinal  ir al registro: La búsqueda tardó 0.02 segundos. 
11.
Meromorphic first integrals of analytic diffeomorphisms / Ferragut Amengual, Antoni Manel (Universidad Internacional de La Rioja) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Zhang, Xiang (Shanghai Jiao Tong University. School of Mathematical Sciences)
We give an upper bound for the number of functionally independent meromorphic first integrals that a discrete dynamical system generated by an analytic map f can have in a neighborhood of one of its fixed points. [...]
2023 - 10.1016/j.jmaa.2022.126796
Journal of mathematical analysis and applications, Vol. 519, Issue 1 (March 2023) , art. 126796  
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12.
16 p, 466.7 KB Uniqueness of the limit cycles for complex differential equations with two monomials / Álvarez Torres, María Jesús (Universitat de les Illes Balears. Departament de Ciències Matemàtiques i Informàtica) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Prohens, Rafel (Universitat de les Illes Balears. Departament de Ciències Matemàtiques i Informàtica)
We prove that any complex differential equation with two monomials of the form z˙ = azk ¯zl + bzm¯zn, with k, l, m, n non-negative integers and a, b ∈ C, has one limit cycle at most. Moreover, we characterise when such a limit exists and prove that then it is hyperbolic. [...]
2023 - 10.1016/j.jmaa.2022.126663
Journal of mathematical analysis and applications, Vol. 518, Issue 1 (February 2023) , art. 126663
2 documentos
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13.
17 p, 468.6 KB Bifurcation of limit cycles in piecewise quadratic differential systems with an invariant straight line / Da Cruz, Leonardo Pereira Costa (Departamento de Matemática. Universidade Federal de São Carlos) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We solve the center-focus problem in a class of piecewise quadratic polynomial differential systems with an invariant straight line. The separation curve is also a straight line which is not invariant. [...]
2022 - 10.1016/j.jmaa.2022.126256
Journal of mathematical analysis and applications, Vol. 514, Issue 1 (October 2022) , art. 126256  
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14.
6 p, 623.5 KB Polynomial differential systems with even degree have no global centers / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
Let x˙=P(x,y), y˙=Q(x,y) be a differential system with P and Q real polynomials, and let d=max⁡{degP,degQ}. A singular point p of this differential system is a global center if R2∖{p} is filled with periodic orbits. [...]
2021 - 10.1016/j.jmaa.2021.125281
Journal of mathematical analysis and applications, Vol. 503, Issue 1 (November 2021) , art. 125281  
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15.
28 p, 867.8 KB Phase portraits of (2;0) reversible vector fields with symmetrical singularities / Buzzi, Claudio (Universidade Estadual Paulista Júlio de Mesquita Filho. Instituto de Biociências, Letras e Ciências Exatas) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Santana, Paulo (Universidade Estadual Paulista Júlio de Mesquita Filho. Instituto de Biociências, Letras e Ciências Exatas)
In this paper we study the phase portraits in the Poincaré disk of the reversible vector fields of type (2;0) having generic bifurcations around a symmetric singular point p. We also prove the nonexistence of any periodic orbit surrounding p. [...]
2021 - 10.1016/j.jmaa.2021.125324
Journal of mathematical analysis and applications, Vol. 503, Issue 2 (November 2021) , art. 125324  
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16.
24 p, 359.3 KB Limit cycles from a monodromic infinity in planar piecewise linear systems / Freire, Emilio (Universidad de Sevilla. Departamento de Matemática Aplicada II) ; Ponce, Enrique (Universidad de Sevilla. Departamento de Matemática Aplicada II) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torres, Francisco (Universidad de Sevilla. Departamento de Matemática Aplicada II)
Planar piecewise linear systems with two linearity zones separated by a straight line and with a periodic orbit at infinity are considered. By using some changes of variables and parameters, a reduced canonical form with five parameters is obtained. [...]
2021 - 10.1016/j.jmaa.2020.124818
Journal of mathematical analysis and applications, Vol. 496, Issue 2 (April 2021) , art. 124818  
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17.
32 p, 1.1 MB Phase portraits and bifurcation diagram of the Gray-Scott model / Chen, Ting (Guangdong University of Finance and Economics. School of Statistics and Mathematics (China)) ; Li, Shimin (Guangdong University of Finance and Economics. School of Statistics and Mathematics (China)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We give a complete classification of the phase portraits in the Poincaré disk for the cubic polynomial systems ˙ x = 1−x−axy2, ˙ y = −by + axy2, in R2 according with the values of its two parameters a and b. [...]
2021 - 10.1016/j.jmaa.2020.124840
Journal of mathematical analysis and applications, Vol. 496, Issue 2 (April 2021) , art. 124840  
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18.
16 p, 322.4 KB The center problem for Z2-symmetric nilpotent vector fields / 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)
We say that a polynomial differential system x˙=P(x,y), y˙=Q(x,y) having the origin as a singular point is Z-symmetric if P(−x,−y)=−P(x,y) and Q(−x,−y)=−Q(x,y). It is known that there are nilpotent centers having a local analytic first integral, and others which only have a C first integral. [...]
2018 - 10.1016/j.jmaa.2018.05.079
Journal of mathematical analysis and applications, Vol. 466, Issue 1 (October 2018) , p. 183-198  
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19.
21 p, 459.5 KB On the computation of Darboux first integrals of a class of planar polynomial vector fields / Ferragut Amengual, Antoni Manel (Universitat Jaume I. Institut Universitari de Matemàtiques i Aplicacions de Castelló) ; Galindo, Carlos (Universitat Jaume I. Institut Universitari de Matemàtiques i Aplicacions de Castelló) ; Monserrat, Francisco (Universitat Politècnica de València. Institut Universitari de Matemàtica Pura i Aplicada)
We study the class of planar polynomial vector fields admitting Darboux first integrals of the type ∏ri = 1fαii, where the αi's are positive real numbers and the fi's are polynomials defining curves with only one place at infinity. [...]
2019 - 10.1016/j.jmaa.2019.05.052
Journal of mathematical analysis and applications, Vol. 478, Issue 2 (October 2019) , p. 743-763  
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20.
17 p, 389.6 KB Periodic solutions of linear, Riccati, and Abel dynamic equations / Bohner, Martin (Missouri S&T) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Departamento de Matemàtica)
We study the number of periodic solutions of linear, Riccati and Abel dynamic equations in the time scales setting. In this way, we recover known results for corresponding differential equations and obtain new results for associated difference equations. [...]
2019 - 10.1016/j.jmaa.2018.10.018
Journal of mathematical analysis and applications, Vol. 470, Núm. 2 (February 2019) , p. 733-749  
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