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Resultados globales: 12 registros encontrados en 0.06 segundos.
Artículos, Encontrados 12 registros
Artículos Encontrados 12 registros  1 - 10siguiente  ir al registro:
1.
16 p, 686.2 KB Generalized analytic integrability of a class of polynomial differential systems in C2 / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Tian, Yuzhou (Sun Yat-sen University. School of Mathematics (China).)
This paper study the type of integrability of differential systems with separable variables x˙=h(x)f(y), y˙ = g(y), where h, f and g are polynomials. We provide a criterion for the existence of generalized analytic first integrals of such differential systems. [...]
2021 - 10.1007/s10440-021-00407-4
Acta Applicandae Mathematicae, Vol. 173, Issue 1 (June 2021) , art. 1  
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2.
27 p, 2.0 MB Analytic integrability of quasi-homogeneous systems via the Yoshida method / García, Belén (Universidad de Oviedo. Departamento de Matemáticas) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Lombardero, Antón (Universidad de Oviedo. Departamento de Matemáticas) ; Suárez Pérez del Río, Jesús (Universidad de Oviedo. Departamento de Matemáticas)
The objective of this paper is double. First we do a survey on what we call the Yoshida method for studying the analytic first integrals of the quasi-homogeneous polynomial differential systems. After we apply the Yoshida method for studying the analytic first of all the quasi-homogeneous polynomial differential systems in R3 of degree 2.
2021 - 10.1016/j.jsc.2020.11.002
Journal of Symbolic Computation, Vol. 104 (May-June 2021) , p. 960-980  
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3.
15 p, 767.1 KB On the mechanisms for producing linear type centers in polynomial differential systems / Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we study the different mechanisms that give rise to linear type centers for polynomial differential systems. The known mechanisms are the algebraic reversibility and the Liouville integrability. [...]
2018
Moscow Mathematical Journal, Vol. 18, Issue 3 (July-September 2018) , p. 409-420  
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4.
12 p, 699.2 KB Proper rational and analytic first integrals for asymmetric 3-dimensional Lotka-Volterra systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Departamento de Matematica)
We go beyond in the study of the integrability of the classical model of competition between three species studied by May and Leonard [19], by considering a more realistic asymmetric model. Our results show that there are no global analytic first integrals and we provide all proper rational first integrals of this extended model by classifying its invariant algebraic surfaces.
2017 - 10.1080/14029251.2017.1341701
Journal of Nonlinear Mathematical Physics, Vol. 24 Núm. 3 (2017) , p. 393-404  
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5.
5 p, 574.4 KB Integrability conditions of a resonant saddle in generalized Liénard-like complex polynomial differential systems / Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We consider a complex differential system with a resonant saddle at the origin. We compute the resonant saddle quantities and using Gröbner bases we find the integrability conditions for such systems up to a certain degree. [...]
2017 - 10.1016/j.chaos.2017.01.014
Chaos, solitons and fractals, Vol. 96 (2017) , p. 130-131  
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6.
12 p, 363.9 KB Analytic reducibility of nondegenerate centers: Cherkas systems / Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we study the center problem for polynomial differential systems and we prove that any center of an analytic differential system is analytically reducible. We also study the centers for the Cherkas polynomial differential systems x˙ = y, y˙ = P0(x) + P1(x)y + P2(x)y2, where Pi(x) are polynomials of degree n, P0(0) = 0 and P'0(0) < 0. [...]
2016 - 10.14232/ejqtde.2016.1.49
Electronic Journal of Qualitative Theory of Differential Equations, Vol. 49 (2016) , p. 1-10  
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7.
6 p, 641.7 KB Analytic integrability of a class of planar polynomial differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)
In this paper we find necessary and sufficient conditions in order that the differential systems of the form ˙x = xf(y), ˙y = g(y), with f and g polynomials, have a first integral which is analytic in the variable x and meromorphic in the variable y. [...]
2015 - 10.3934/dcdsb.2015.20.2657
Discrete and continuous dynamical systems. Series B, Vol. 20 Núm. 8 (2015) , p. 2657-2661  
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8.
14 p, 337.6 KB Local Darboux first integrals of analytic differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Walcher, Sebastian (RWTH Aachen(Germany). Lehrstuhl A fur Mathematik) ; Zhang, Xiang (Shanghai Jiaotong University. Department of Mathematics)
In this paper we discuss local and formal Darboux first integrals of analytic differential systems, using the theory of Poincaré Dulac normal forms. We study the effect of local Darboux integrability on analytic normalization. [...]
2014 - 10.1016/j.bulsci.2013.09.007
Bulletin des Sciences Mathematiques, Vol. 138 (2014) , p. 71-88  
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9.
18 p, 403.1 KB Analytic integrability of the Bianchi Class A cosmological models with 0 k < 1 / Ferragut Amengual, Antoni Manel (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Pantazi, Chara (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I)
There are many works studying the integrability of the Bianchi class A cosmologies with k = 1. Here we characterize the analytic integrability of the Bianchi class A cosmological models when 0 ≤ k < 1.
2013 - 10.1016/j.chaos.2012.12.007
Chaos, solitons and fractals, Vol. 48 (2013) , p. 12-21  
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10.
7 p, 708.4 KB Liouvillian and analytic first integrals for the Brusselator system / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)
We characterize the Liouvillian and analytic first integrals for the polynomial differential systems of the form x' = a − (b + 1)x + x2y, y' = bx − x2y, with a, b ∈ R, called the Brusselator differential systems.
2012 - 10.1142/S1402925112500167
Journal of Nonlinear Mathematical Physics, Vol. 19 Núm. 2 (2012) , p. 8 pp.  
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Artículos : Encontrados 12 registros   1 - 10siguiente  ir al registro:
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