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Articles, 59 registres trobats
Documents de recerca, 2 registres trobats
Articles 59 registres trobats  1 - 10següentfinal  anar al registre:
1.
24 p, 449.0 KB Probability of existence of limit cycles for a family of planar systems / 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 goal of this work is the study of the probability of occurrence of limit cycles for a family of planar differential systems that are a natural extension of linear ones. To prove our results we first develop several results of non-existence, existence, uniqueness and non-uniqueness of limit cycles for this family. [...]
2023 - 10.1016/j.jde.2023.07.015
Journal of differential equations, Vol. 373 (November 2023) , p. 152-175  
2.
29 p, 497.6 KB Non-existence of integral Hopf orders for twists of several simple groups of Lie type / Carnovale, Giovanna (Università degli Studi di Padova. Dipartimento di Matematica Tullio Levi-Civita) ; Cuadra, Juan (Universidad de Almería. Departamento de Matemáticas) ; Masut, Elisabetta (Università degli Studi di Padova. Dipartimento di Matematica Tullio Levi-Civita)
Let p be a prime number and q = pm, with m ≥ 1 if p 6= 2, 3 and m > 1 otherwise. Let Ω be any non-trivial twist for the complex group algebra of PSL2(q) arising from a 2-cocycle on an abelian subgroup of PSL2(q). [...]
2024 - 10.5565/PUBLMAT6812404
Publicacions matemàtiques, Vol. 68 Núm. 1 (2024) , p. 73-101 (Articles)  
3.
37 p, 487.8 KB On finite GK-dimensional Nichols algebras of diagonal type : rank 3 and Cartan type / Angiono, Ivan (Universidad Nacional de Córdoba) ; García Iglesias, Agustín (Universidad Nacional de Córdoba)
This paper contributes to the proof of the conjecture posed in [5], stating that a Nichols algebra of diagonal type with finite Gelfand-Kirillov dimension has a finite (generalized) root system. We prove the conjecture assuming that the rank is 3 or that the braiding is of Cartan type.
2023 - 10.5565/PUBLMAT6722311
Publicacions matemàtiques, Vol. 67 Núm. 2 (2023) , p. 757-793 (Articles)  
4.
86 p, 815.5 KB Towards differentiation and integration between Hopf algebroids and Lie algebroids / Ardizzoni, Alessandro (University of Turin, Department of Mathematics "Giuseppe Peano") ; El Kaoutit, Laiachi (Universidad de Granada. Departamento de Álgebra) ; Saracco, Paolo (Université libre de Bruxelles. Département de Mathématique)
In this paper we set up the foundations around the notions of formal differentiation and formal integration in the context of commutative Hopf algebroids and Lie-Rinehart algebras. Specifically, we construct a contravariant functor from the category of commutative Hopf algebroids with a fixed base algebra to that of Lie-Rinehart algebras over the same algebra, the differentiation functor, which can be seen as an algebraic counterpart to the differentiation process from Lie groupoids to Lie algebroids. [...]
2023 - 10.5565/PUBLMAT6712301
Publicacions matemàtiques, Vol. 67 Núm. 1 (2023) , p. 3-88 (Articles)  
5.
16 p, 560.7 KB Hopf bifurcation in 3-dimensional polynomial vector fields / Sanchez Sanchez, Ivan (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this work we study the local cyclicity of some polynomial vector fields in R3. In particular, we give a quadratic system with 11 limit cycles, a cubic system with 31 limit cycles, a quartic system with 54 limit cycles, and a quintic system with 92 limit cycles. [...]
2022 - 10.1016/j.cnsns.2021.106068
Communications in nonlinear science and numerical simulation, Vol. 105 (February 2022) , art. 106068  
6.
30 p, 403.4 KB Induced Hopf Galois structures and their local Hopf Galois modules / Gil-Munoz, Daniel (Universitat Politècnica de Catalunya. Departament de Matemàtiques) ; Rio, Anna (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
The regular subgroup determining an induced Hopf Galois structure for a Galois extension L/K is obtained as the direct product of the corresponding regular groups of the inducing subextensions. We describe here the associated Hopf algebraand Hopf action of an induced structure and we prove that they are obtained by tensoring the corresponding inducing objects. [...]
2022 - 10.5565/PUBLMAT6612204
Publicacions matemàtiques, Vol. 66 Núm. 1 (2022) , p. 99-128 (Articles)  
7.
22 p, 833.4 KB On the birth and death of algebraic limit cycles in quadratic differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Oliveira, Regilene (Universidade de São Paulo. Instituto de Ciências Matemáticas e Computação. Departamento de Matemática (Brazil)) ; Zhao, Yulin (Sun Yat-sen University. School of Mathematics (People's Republic of China))
In 1958 started the study of the families of algebraic limit cycles in the class of planar quadratic polynomial differential systems. In the present we known one family of algebraic limit cycles of degree 2 and four families of algebraic limit cycles of degree 4, and that there are no limit cycles of degree 3. [...]
2021 - 10.1017/S0956792520000145
European Journal of Applied Mathematics, Vol. 32, Issue 2 (April 2021) , p. 317-336  
8.
22 p, 661.1 KB Dynamics of a two prey and one predator system with indirect effect / Colucci, Renato (Università Politecnica delle Marche. Dipartimento di Ingegneria Industriale e Scienze Matematiche (Italy)) ; Diz-Pita, Érika (Universidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización) ; Otero-Espinar, M. Victoria (Universidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización)
We study a population model with two preys and one predator, considering a Holling type II functional response for the interaction between first prey and predator and taking into account indirect effect of predation. [...]
2021 - 10.3390/math9040436
Mathematics, Vol. 9, Issue 4 (February 2021) , art. 436  
9.
8 p, 600.2 KB Limit cycles bifurcating from a zero-Hopf equilibrium of a 3-dimensional continuous differential system / Kassa, Sara (University of Annaba. Department of Mathematics (Algeria)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makhlouf, Ammar (University of Annaba. Department of Mathematics (Algeria))
A zero-Hopf equilibrium of a differential system in R3 is an equilibrium point whose linear part has eigenvalues 0 and ±ωi with ω>0. We provide necessary and sufficient conditions for the existence of two or one limit cycles bifurcating from a zero-Hopf equilibrium of the following 3-dimensional Lypschizian differential systems x˙= y, y˙= z, z˙= −a y + 3y2 − xz −b, when a=b=0. [...]
2021 - 10.1007/s40863-021-00212-9
São Paulo Journal of Mathematical Sciences, Vol. 15 (February 2021) , p. 419-426  
10.
23 p, 372.3 KB On the Galois correspondence for Hopf Galois structures arising from finite radical algebras and Zappa-Szép products / Childs, Lindsay N. (University at Albany)
Let L/K be a G-Galois extension of fields with an H-Hopf Galois structure of type N. We study the Galois correspondence ratio GC(G, N), which is the proportion of intermediate fields E with K ⊆ E ⊆ L that are in the image of the Galois correspondence for the H-Hopf Galois structure on L/K. [...]
2021 - 10.5565/publicacionsmatematiques.v65i1.383689
Publicacions matemàtiques, Vol. 65 Núm. 1 (2021) , p. 141-163 (Articles)  

Articles : 59 registres trobats   1 - 10següentfinal  anar al registre:
Documents de recerca 2 registres trobats  
1.
17 p, 205.8 KB Hopf bifurcation of a delay differential equation with two delays / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Tarta, Alexandrina Alina (Babes¸-Bolyai University (Cluj, Romania). Department of Applied Mathematics) ; Centre de Recerca Matemàtica
We consider a delay differential equation with two delays. The Hopf bifurcation of this equation is investigated together with the stability of the bifurcated periodic solution, its period and the bifurcation direction. [...]
Centre de Recerca Matemàtica 2006 (Prepublicacions del Centre de Recerca Matemàtica ; 693)  
2.
21 p, 263.3 KB Hopf bifurcation in higher dimensional differential systems via the averaging method / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Zhang, Xiang (Shanghai Jiaotong University. Department of Mathematics) ; Centre de Recerca Matemàtica
"vegeu el resum a l'inici del document del fitxer adjunt".
Centre de Recerca Matemàtica 2008 (Prepublicacions del Centre de Recerca Matemàtica ; 788)  

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