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Dipòsit Digital de Documents de la UAB 36 registres trobats  1 - 10següentfinal  anar al registre: La cerca s'ha fet en 0.00 segons. 
1.
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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2.
38 p, 821.3 KB Quadratic planar differential systems with algebraic limit cycles via quadratic plane Cremona maps / Alberich Carramiñana, Maria (Universitat Politècnica de Catalunya. Institut de Robòtica i Informàtica Industrial) ; Ferragut Amengual, Antoni Manel (Universidad Internacional de La Rioja) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we study the action of planar birational transformations, also known as plane Cremona maps, on quadratic planar differential systems. We provide geometrical characterizations of when a quadratic system is transformed into a new quadratic system after applying a quadratic plane Cremona map. [...]
2021 - 10.1016/j.aim.2021.107924
Advances in mathematics, Vol. 389 (October 2021) , art. 107924
2 documents
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3.
11 p, 320.0 KB A new algorithm for finding rational first integrals of polynomial vector fields / Ferragut Amengual, Antoni Manel (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Giacomini, Hector (Centre National de la Recherche Scientifique (França))
We present a new method to compute rational first integrals of planar polynomial vector fields. The algorithm is in general much faster than the usual methods and also allows to compute the remarkable curves associated to the rational first integral of the system.
2010 - 10.1007/s12346-010-0021-x
Qualitative theory of dynamical systems, Vol. 9, Issue 1-2 (November 2010) , p. 89-99  
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4.
28 p, 837.2 KB Phase portraits of Abel quadratic differential systems of second kind with symmetries / Ferragut Amengual, Antoni Manel (Universitat Jaume I. Institut Universitari de Matemàtiques i Aplicacions de Castelló) ; García-Saldaña, Johanna Denise (Universidad Católica de la Santísima Concepción. Departamento de Matemática y Física Aplicadas (Chile)) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemática)
We provide normal forms and the global phase portraits on the Poincaré disk of the Abel quadratic differential equations of the second kind having a symmetry with respect to an axis or to the origin. [...]
2019 - 10.1080/14689367.2018.1530732
Dynamical Systems, Vol. 34, Issue 2 (2019) , p. 301-333  
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5.
11 p, 363.3 KB On the polynomial solutions of the polynomial differential equations y y' = a 0(x) + a 1(x) y + a 2(x) y 2 + … + an(x) y n / Ferragut Amengual, Antoni Manel (Universitat Jaume I. Institut Universitari de Matemàtiques i Aplicacions de Castelló) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we deal with differential equations of the form yy' = P(x, y) where y' = dy/dx and P(x, y) is a polynomial in the variables x and y of degree n in the variable y. We provide an upper bound for the number of polynomial solutions of this class of differential equations, and for some particular classes we study properties of their polynomial solutions.
2020 - 10.1007/s13226-020-0396-6
Indian Journal of Pure and Applied Mathematics, Vol. 51, Issue 1 (March 2020) , p. 217-232  
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6.
23 p, 338.8 KB Conservation laws in biochemical reaction networks / Mahdi, Adam (University of Oxford. Institute of Biomedical Engineering. Department of Engineering Science) ; Ferragut Amengual, Antoni Manel (Universitat Jaume I. Institut Universitari de Matemàtiques i Aplicacions de Castelló) ; Valls, Clàudia 1973- (Instituto Superior Técnico. Departamento de Matemática (Portugal)) ; Wiuf, Carsten (University of Copenhagen. Department of Mathematical Sciences)
We study the existence of linear and nonlinear conservation laws in biochemical reaction networks with mass-action kinetics. It is straightforward to compute the linear conservation laws as they are related to the left null-space of the stoichiometry matrix. [...]
2017 - 10.1137/17M1138418
SIAM Journal on Applied Dynamical Systems, Vol. 16, Issue 4 (2017) , p. 2213-2232  
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17 p, 906.6 KB Phase portraits of Abel quadratic differential systems of the second kind / Ferragut Amengual, Antoni Manel (Universitat Jaume I. Institut Universitari de Matemàtiques i Aplicacions de Castelló) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemática)
We provide normal forms and the global phase portraits on the Poincaré disk of some Abel quadratic differential equations of the second kind. Moreover, we also provide the bifurcation diagrams for these global phase portraits.
2018 - 10.1080/14689367.2017.1402296
Dynamical Systems, Vol. 33, Issue 4 (2018) , p. 581-601  
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8.
8 p, 319.1 KB Invariant curves and integrability of planar Cr differential systems / Ferragut Amengual, Antoni Manel (Universitat Jaume I. Institut Universitari de Matemàtiques i Aplicacions de Castelló) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We improve the known expressions of the Cr differential systems in the plane having a given Cr+1 invariant curve, or a given Cr+1 first integral. Their application to polynomial differential systems having either an invariant algebraic curve, or a first integral, also improves the known results on such systems.
2018 - 10.1216/RMJ-2018-48-5-1537
The Rocky Mountain Journal of Mathematics, Vol. 48, Issue 5 (2018) , p. 1537-1550  
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9.
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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10.
12 p, 275.2 KB On Darboux integrability of Edelstein's reaction system in R³ / Ferragut Amengual, Antoni Manel (Universitat Jaume I. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Departamento de Matemàtica) ; Wiuf, Carsten (Københavns Universitet. Department of Mathematical Sciences)
We consider Edelstein's dynamical system of three reversible reactions in R³ and show that it is not Darboux integrable. To do so we characterize its polynomial first integrals, Darboux polynomials and exponential factors.
2018 - 10.1016/j.chaos.2018.01.029
Chaos, solitons and fractals, Vol. 108 (March 2018) , p. 129-135  
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