Dipòsit Digital de Documents de la UAB 72 registres trobats  anterior11 - 20següentfinal  anar al registre: La cerca s'ha fet en 0.03 segons. 
11.
18 p, 835.5 KB Bifurcations of the Riccati quadratic polynomial differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Lopes, Bruno D. (Universidade Estadual de Campinas. Instituto de Matemática, Estatística e Computação Científica) ; Da Silva, Paulo R. (Universidade Estadual Paulista. Departamento de Matemática)
In this paper, we characterize the global phase portrait of the Riccati quadratic polynomial differential system ẋ = α2(x), ẏ = ky2 + β1(x)y + γ2(x), with (x,y)∈R2, γ2(x) nonzero (otherwise the system is a Bernoulli differential system), k ≠ 0 (otherwise the system is a Liénard differential system), β1(x) a polynomial of degree at most 1, α2(x) and γ2(x) polynomials of degree at most 2, and the maximum of the degrees of α2(x) and ky2 + β1(x)y + γ2(x) is 2. [...]
2021 - 10.1142/S0218127421500942
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 31, Issue 6 (May 2021) , art. 2150094  
12.
9 p, 626.0 KB The extended 16th Hilbert problem for discontinuous piecewise linear centers separated by a nonregular line / Esteban, Marina (Universidad de Sevilla. Departamento de Matemática Aplicada II) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
The study of the piecewise linear differential systems goes back to Andronov, Vitt and Khaikin in 1920's, and nowadays such systems still continue to receive the attention of many researchers mainly due to their applications. [...]
2021 - 10.1142/S0218127421502254
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 31, Issue 15 (December 2021) , art. 2150225  
13.
39 p, 573.8 KB Limit cycles of continuous piecewise differential systems formed by linear and quadratic isochronous centers I / Ghermoul, Bilal (University Mohamed El Bachir El Ibrahimi. Department of Mathematics (Algeria)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Salhi, Tayeb (University Mohamed El Bachir El Ibrahimi. Department of Mathematics (Algeria))
First, we study the planar continuous piecewise differential systems separated by the straight line x = 0 formed by a linear isochronous center in x > 0 and an isochronous quadratic center in x < 0. [...]
2022 - 10.1142/S0218127422500031
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 32, Issue 1 (January 2022) , art. 2250003  
14.
21 p, 949.4 KB Limit cycles on piecewise smooth vector fields with coupled rigid centers / Carvalho, Tiago (Universidade de São Paulo. Departamento de Computação e Matemática) ; Gonçalves, Luiz Fernando (Universidade Federal de Goiás. Instituto de Matemática e Estatística) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We provide an upper bound for the maximum number of limit cycles of the class of discontinuous piecewise differential systems formed by two differential systems separated by a straight line presenting rigid centers. [...]
2021 - 10.1142/S0218127421502242
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 31, Issue 15 (December 2021) , art. 2150224  
15.
8 p, 299.6 KB Polynomial vector fields on the Clifford torus / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Murza, Adrian C. (University of Texas at Dallas. Department of Mathematical Sciences (USA))
First, we characterize all the polynomial vector fields in R4 which have the Clifford torus as an invariant surface. Then we study the number of invariant meridians and parallels that such polynomial vector fields can have on the Clifford torus as a function of the degree of these vector fields.
2021 - 10.1142/S0218127421500577
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 31, Issue 4 (March 2021) , art. 2150057  
16.
7 p, 273.8 KB Zero-Hopf periodic orbits for a Rössler differential system / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makhlouf, Ammar (University of Annaba. Department of Mathematics (Algeria))
We study the zero-Hopf bifurcation of the Rössler differential system x· = x − xy − z, y· = x − ay, z· = b(cx − z), where the dot denotes the derivative with respect to the independent variable t and a, b, c are real parameters.
2020 - 10.1142/S0218127420501709
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 30, Issue 12 (September 2020) , art. 2050170  
17.
15 p, 743.5 KB Zero-Hopf bifurcations in three-dimensional chaotic systems with one stable equilibrium / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Messias, Marcelo (Universidade Estadual Paulista. Departamento de Matemática e Computação (Brazil)) ; De Carvalho Reinol, Alisson (Universidade Tecnológica Federal Do Paraná. Departamento Acadêmico de Matemática (Brazil))
In (Molaie et al. , Int J Bifurcat Chaos 23 (2013) 1350188) the authors provided the expressions of twenty three quadratic differential systems in R3 with the unusual feature of having chaotic dynamics coexisting with one stable equilibrium point. [...]
2020 - 10.1142/S0218127420501898
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 30, Issue 13 (October 2020) , art. 2050189  
18.
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  
19.
15 p, 1.1 MB Crossing periodic orbits via first integrals / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Tonon, Durval José (Universidade Federal de Goiás. Instituto de Matemática e Estatística (Brazil)) ; Velter, Mariana Queiroz (Universidade Federal de Goiás. Instituto de Matemática e Estatística (Brazil))
We characterize the families of periodic orbits of two discontinuous piecewise differential systems in R3 separated by a plane using their first integrals. One of these discontinuous piecewise differential systems is formed by linear differential systems, and the other by nonlinear differential systems.
2020 - 10.1142/S0218127420501631
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 30, Issue 11 (September 2020) , art. 2050163  
20.
16 p, 319.9 KB Limit cycles in planar piecewise linear Hamiltonian systems with three zones without equilibrium points / Fernandes da Fonseca, Alexander (Universidade Federal de Itajubá. Instituto de Matemática e Computação (Brazil)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mello, Luis Fernando (Universidade Federal de Itajubá. Instituto de Matemática e Computação (Brazil))
We study the existence of limit cycles in planar piecewise linear Hamiltonian systems with three zones without equilibrium points. In this scenario, we have shown that such systems have at most one crossing limit cycle.
2020 - 10.1142/S0218127420501576
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 30, Issue 11 (September 2020) , art. 2050157  

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