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Resultats globals: 7 registres trobats en 0.03 segons.
Articles, 7 registres trobats
Articles 7 registres trobats  
1.
15 p, 714.9 KB Limit cycles of 3-dimensional discontinuous piecewise differential systems formed by linear centers / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; De Moraes, Jaime Rezende (Universidade Estadual do Mato Grosso do Sul - Rodovia Dourados. Curso de Matemática)
In this paper we deal with 3-dimensional discontinuous piecewise differential systems formed by linear centers and separated by one plane or two parallel planes. We prove that these systems separated by one plane have no limit cycles, besides the systems separated by two parallel planes have at most one limit cycle, and that there are systems having such a limit cycle. [...]
2021 - 10.1007/s40863-021-00237-0
São Paulo Journal of Mathematical Sciences, Vol. 15, Issue 2 (December 2021) , p. 858-874  
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2.
9 p, 305.0 KB Periodic solutions of continuous third-order differential equations with piecewise polynomial nonlinearities / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Lopes, Bruno Domiciano (Universidade Federal do ABC. Centro de Matemática, Computação e Cognição (Brazil)) ; De Moraes, Jaime Rezende (Universidade Estadual de Mato Grosso do Sul. (Brazil))
We consider third-order autonomous continuous piecewise differential equations in the variable x. For such differential equations with nonlinearities of the form xm, we investigate their periodic solutions using the averaging theory. [...]
2020 - 10.1142/S0218127420501588
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 30, Issue 11 (September 2020) , art. 2050158  
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3.
14 p, 238.1 KB Limit cycles bifurcating from the periodic orbits of the weight-homogeneous polynomial centers of weight-degree 3 / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Lopes, Bruno D. (Universidade Estadual de Campinas (Brasil). Instituto de Matemática, Estatística e Computação Científica) ; De Moraes, Jaime Rezende (Universidad Estatal de Mato Grosso del Sur (Brasil))
In this paper we obtain two explicit polynomials, whose simple positive real roots provide the limit cycles which bifurcate from the periodic orbits of a family of polynomial differential centers of order 5, when this family is perturbed inside the class of all polynomial differential systems of order 5, whose average function of first order is not zero. [...]
2018
Electronic journal of differential equations, Vol. 2018, No. 118 (2018) , p. 1-14  
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4.
12 p, 584.1 KB Limit cycles bifurcating from the periodic annulus of the weight-homogeneous polynomial centers of weight-degree 2 / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Lopes, Bruno D. (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; De Moraes, Jaime Rezende (IBILCE-UNESP(Brazil). Departamento de Matemática)
We obtain an explicit polynomial whose simple positive real roots provide the limit cycles which bifurcate from the periodic orbits of a family of cubic polynomial differential centers when it is perturbed inside the class of all cubic polynomial differential systems. [...]
2016 - 10.1016/j.amc.2015.10.079
Applied Mathematics and Computation, Vol. 274 (2016) , p. 47-54  
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5.
19 p, 640.1 KB Limit cycles for a class of continuous and discontinuous cubic polynomial differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Lopes, Bruno D. (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; De Moraes, Jaime Rezende (IBILCE-UNESP(Brazil). Departamento de Matemática)
We study the maximum number of limit cycles that bifurcate from the periodic solutions of the family of isochronous cubic polynomial centers x˙ = y(−1 + 2αx + 2βx2), y˙ = x + α(y2 − x2) + 2βxy2, α ∈ R, β < 0, when it is perturbed inside the classes of all continuous and discontinuous cubic polynomial differential systems. [...]
2014 - 10.1007/s12346-014-0109-9
Qualitative theory of dynamical systems, Vol. 13 Núm. 1 (2014) , p. 129-148  
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6.
9 p, 622.6 KB Limit cycles bifurcating from the periodic annulus of cubic homogeneous polynomial centers / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Lopes, Bruno D. (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; De Moraes, Jaime Rezende (IBILCE-UNESP(Brazil). Departamento de Matemática)
We obtain an explicit polynomial whose simple positive real roots provide the limit cycles which bifurcate from the periodic orbits of any cubic homogeneous polynomial center when it is perturbed inside the class of all polynomial differential systems of degree n.
2015
Electronic journal of differential equations, Vol. 2015 Núm. 271 (2015) , p. 1-8  
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7.
34 p, 823.0 KB Limit cycles of cubic polynomial differential systems with rational first integrals of degree 2 / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Lopes, Bruno D. (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; De Moraes, Jaime Rezende (IBILCE-UNESP (Brazil). Departamento de Matemática)
The main goal of this paper is to study the maximum number of limit cycles that bifurcate from the period annulus of the cubic centers that have a rational first integral of degree 2 when they are perturbed inside the class of all cubic polynomial differential systems using the averaging theory. [...]
2015 - 10.1016/j.amc.2014.11.029
Applied Mathematics and Computation, Vol. 250 (2015) , p. 887-907  
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