Resultats globals: 28 registres trobats en 0.02 segons.
Articles, 27 registres trobats
Documents de recerca, 1 registres trobats
Articles 27 registres trobats  1 - 10següentfinal  anar al registre:
1.
17 p, 3.2 MB Phase portraits on the unit sphere of the stretch-twist-fold flow / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
The so-called stretch-twist-fold flow consists in a Stokes flow depending on two parameters defined in a unit closed ball B¯ that is associated with the motion of a fluid particle coming from the dynamo theory, and it models a mechanism for studying the magnetic field of the Earth and the Sun. [...]
2023 - 10.15388/namc.2023.28.33088
Nonlinear Analysis: Modelling and Control, Vol. 28, Issue 5 (September 2023) , p. 1020-1036  
2.
18 p, 772.0 KB Phase Portraits of Families VII and VIII of the Quadratic Systems / Cairó, Laurent (Université d'Orleans. Institut Denis Poisson) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The quadratic polynomial differential systems in a plane are the easiest nonlinear differential systems. They have been studied intensively due to their nonlinearity and the large number of applications. [...]
2023 - 10.3390/axioms12080756
Axioms, Vol. 12, Issue 8 (August 2023) , art. 756  
3.
16 p, 396.2 KB Probability of occurrence of some planar random quasi-homogeneous vector fields / Coll, Bartomeu (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)
The objective of this work is the study of the probability of occurrence of phase portraits in a family of planar quasi-homogeneous vector fields of quasi degree q, that is a natural extension of planar linear vector fields, which correspond to q= 1. [...]
2022 - 10.1007/s00009-022-02198-w
Mediterranean Journal of Mathematics, Vol. 19, Issue 6 (December 2022) , art. 278  
4.
11 p, 365.9 KB Phase portraits of the Leslie-Gower system / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
In this paper we characterize the phase portraits of the Leslie-Gower model for competition among species. We give the complete description of their phase portraits in the Poincaré disc (i. e. , in the compactification of ℝ adding the circle S of the infinity) modulo topological equivalence. [...]
2022 - 10.1007/s10473-022-0502-4
Acta Mathematica Scientia, Vol. 42, Issue 5 (September 2022) , p. 1734-1742  
5.
21 p, 806.2 KB On a class of polynomial differential systems of degree 4 : Phase portraits and limit cycles / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Salhi, Tayeb (Université de Bordj Bou Arréridj. Département de Mathématiques (Algeria))
In this paper we characterize the phase portraits in the Poincaré disc of the class of polynomial differential systems of the form ẋ = −y, ẏ = x + ax4 + bx2 y2 + cy4, with a2 + b2 + c2 ≠ 0, which are symmetric with respect to the x-axis. [...]
2021 - 10.12775/TMNA.2020.042
Topological Methods in Nonlinear Analysis, Vol. 57, Issue 2 (June 2021) , p. 441-463  
6.
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  
7.
30 p, 504.7 KB Phase portraits of random planar homogeneous vector fields / Cimà, Anna (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mañosa Fernández, Víctor 1971- (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
In this paper, we study the probability of occurrence of phase portraits in the set of random planar homogeneous polynomial vector fields, of degree n. In particular, for n= 1, 2, 3, we give the complete solution of the problem; that is, we either give the exact value of each probability of occurrence or we estimate it by using the Monte Carlo method. [...]
2021 - 10.1007/s12346-020-00437-7
Qualitative theory of dynamical systems, Vol. 20, Issue 1 (April 2021) , art. 3  
8.
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  
9.
20 p, 374.4 KB The zero-Hopf bifurcations in the Kolmogorov systems of degree 3 in R3 / Diz-Pita, Érika (Universidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Otero-Espinar, M. Victoria (Universidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemática (Portugal))
In this work we study the periodic orbits which bifurcate from all zero-Hopf bifurcations that an arbitrary Kolmogorov system of degree 3 in R3 can exhibit. The main tool used is the averaging theory.
2021 - 10.1016/j.cnsns.2020.105621
Communications in nonlinear science and numerical simulation, Vol. 95 (April 2021) , art. 105621  
10.
14 p, 632.3 KB Limit cycles bifurcating of Kolmogorov systems in R2 and in R3 / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Martínez, Y. Paulina (Centre de Recerca Matemàtica) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemática)
In this work we consider the Kolmogorov system of degree 3 in R2 and R3 having an equilibrium point in the positive quadrant and octant, respectively. We provide sufficient conditions in order that the equilibrium point will be a Hopf point for the planar case and a zero-Hopf point for the spatial one. [...]
2020 - 10.1016/j.cnsns.2020.105401
Communications in nonlinear science and numerical simulation, Vol. 91 (December 2020) , art. 105401  

Articles : 27 registres trobats   1 - 10següentfinal  anar al registre:
Documents de recerca 1 registres trobats  
1.
143 p, 889.1 KB Uniform isochronous centers of degrees 3 and 4 and their perturbations / Itikawa, Jackson ; Llibre, Jaume, dir. (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Universitat Autònoma de Barcelona. Departament de Matemàtiques
En este trabajo se estudian los sistemas diferenciales polinomiales planos de grado 3 y 4 con un centro isócrono uniforme. Proporcionamos una clasificación para estos sistemas con respecto a la equivalencia topológica de sus retratos de fase globales en el disco de Poincaré. [...]
[Barcelona] : Universitat Autònoma de Barcelona, 2015  

Us interessa rebre alertes sobre nous resultats d'aquesta cerca?
Definiu una alerta personal via correu electrònic o subscribiu-vos al canal RSS.