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Resultats globals: 15 registres trobats en 0.10 segons.
Articles, 15 registres trobats
Articles 15 registres trobats  1 - 10següent  anar al registre:
1.
17 p, 375.4 KB Crossing limit cycles of planar discontinuous piecewise differential systems formed by isochronous centres / Buzzi, Claudio (Universidade Estadual Paulista Julio de Mesquita Filho. Departamento de Matemática) ; Carvalho, Yagor Romano (Universidade de São Paulo. Departamento de Matemática) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
These last years an increasing interest appeared in studying the planar discontinuous piecewise differential systems motivated by the rich applications in modelling real phenomena. The understanding of the dynamics of these systems has many difficulties. [...]
2022 - 10.1080/14689367.2022.2122779
Dynamical Systems, Vol. 37, Issue 4 (2022) , p. 710-728  
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2.
16 p, 433.0 KB Algebraic and topological classification of homogeneous quartic vector fields in the plane / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Martínez, Y. Paulina (Universidad del Bío-Bío. Departamento de Matemática (Chile)) ; Vidal, Claudio (Universidad del Bío-Bío. Departamento de Matemática (Chile))
We provide canonical forms for the homogeneous polynomials of degree five. Then we characterize all the phase portraits in the Poincaré disk for all quartic homogeneous polynomial differential systems. [...]
2022 - 10.1007/s10231-021-01106-5
Annali di Matematica Pura ed Applicata, Vol. 201, Issue 1 (February 2022) , p. 37-55  
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3.
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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4.
17 p, 414.8 KB Centers of discontinuous piecewise smooth quasi-homogeneous polynomial differential systems / Chen, Hebai (Fuzhou University. College of Mathematics and Computer Science (China)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Tang, Yilei (Shanghai Jiao Tong University. School of Mathematical Sciences (China))
In this paper we investigate the center problem for the discontinuous piecewise smooth quasi-homogeneous but non-homogeneous polynomial differential systems. First, we provide sufficient and necessary conditions for the existence of a center in the discontinuous piecewise smooth quasi-homogeneous polynomial differential systems. [...]
2019 - 10.3934/dcdsb.2019150
Discrete and continuous dynamical systems. Series B, Vol. 24, Issue 12 (December 2019) , p. 6495-6509  
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5.
18 p, 669.2 KB Polynomial first integrals for weight-homogeneous planar polynomial differential systems of weight degree 4 / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Instituto Superior Técnico. Departamento de Matemática (Portugal))
We classify all of the weight-homogeneous planar polynomial differential systems of weight degree 4 having a polynomial first integral.
2016 - 10.1216/RMJ-2016-46-5-1619
The Rocky Mountain Journal of Mathematics, Vol. 46, Issue 5 (2016) , p. 1619-1642  
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6.
25 p, 473.1 KB Non-existence and uniqueness of limit cycles for planar polynomial differential systems with homogeneous nonlinearities / Huang, Jianfeng (Jinan University. Department of Mathematics) ; Liang, Haihua (Guangdong Polytechnic Normal University. School of Mathematics and Systems Science) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we study the limit cycles of the planar polynomial differential systems * x=ax-y P_n(x,y),\\ y=x ay Q_n(x,y), * where P_n and Q_n are homogeneous polynomials of degree n2, and a R. Consider the functions * &()=P_n() Q_n()\\ &()=Q_n()-P_n()\\ &_1()=a()-(),\\ &_2()=(n-1)(2a()-()) '(). [...]
2018 - 10.1016/j.jde.2018.05.019
Journal of differential equations, Vol. 265, issue 9 (Nov. 2018) , p. 3888-3913  
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7.
15 p, 651.1 KB Centers of weight-homogeneous polynomial vector fields on the plane / Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Departamento de Matemàtica)
We characterize all centers of a planar weight-homogeneous polynomial vector fields. Moreover we classify all centers of a planar weight-homogeneous polynomial vector fields of degrees 6 and 7.
2017 - 10.1090/proc/13393
Proceedings of the American Mathematical Society, Vol. 145 Núm. 6 (2017) , p. 2539-2555  
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8.
11 p, 721.3 KB On the polynomial integrability of a system motivated by the Riemann ellipsoid problem / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)
We consider differential systems obtained by coupling two Euler-Poinsot systems. The motivation to consider such systems can be traced back to the Riemann ellipsoid problem. We provide new cases for which these systems are completely integrable. [...]
2016 - 10.1051/cocv/2015035
ESAIM. Control, Optimisation and Calculus of Variations, Vol. 22 (2016) , p. 872-882  
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9.
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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10.
15 p, 436.8 KB Centers of quasi-homogeneous polynomial differential equations of degree three / Aziz, Waleed (Salahaddin University-Hawler(Iraq). Department of Mathematics) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Pantazi, Chara (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I)
We characterize the centers of the quasi-homogeneous planar polynomial differential systems of degree three. Such systems do not admit isochronous centers. At most one limit cycle can bifurcate from the periodic orbits of a center of a cubic homogeneous polynomial system using the averaging theory of first order.
2014 - 10.1016/j.aim.2013.12.006
Advances in mathematics, Vol. 254 (2014) , p. 233-250  
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Articles : 15 registres trobats   1 - 10següent  anar al registre:
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