Artículos

Artículos Encontrados 718 registros  inicioanterior669 - 678siguientefinal  ir al registro: La búsqueda tardó 0.02 segundos. 
669.
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  
670.
10 p, 334.9 KB Period sets of linear toral endomorphisms on T^2 / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Neumärker, Natascha (Univerzity v Opavê. Matemátický ústav Slezské)
The period set of a dynamical system is defined as the subset of all integers n such that the system has a periodic orbit of length n. Based on known results on the intersection of period sets of torus maps within a homotopy class, we give a complete classification of the period sets of (not necessarily invertible) toral endomorphisms on the 2-dimensional torus T^2.
2015 - 10.1016/j.topol.2015.02.003
Topology and its applications, Vol. 185-186 (2015) , p. 41-49  
671.
22 p, 788.6 KB The Hopf cyclicity of the centers of a class of quintic polynomial vector fields / García, Isaac (Universitat de Lleida. Departament de Matemàtica) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Maza, Susanna (Universitat de Lleida. Departament de Matemàtica)
We consider families of planar polynomial vector fields having a singularity with purely imaginary eigenvalues for which a basis of its Bautin ideal B is known. We provide an algorithm for computing an upper bound of the Hopf cyclicity less than or equal to the Bautin depth of B. [...]
2015 - 10.1016/j.jde.2014.11.018
Journal of differential equations, Vol. 258 (2015) , p. 1990-2009  
672.
34 p, 486.5 KB Bifurcation diagrams for Hamiltonian linear type centers of linear plus cubic homogeneous polynomial vector fields / Colak, Ilker (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)
As a natural continuation of the work done in [7] we provide the bifurcation diagrams for the global phase portraits in the Poincaré disk of all the Hamiltonian linear type centers of linear plus cubic homogeneous planar polynomial vector fields.
2015 - 10.1016/j.jde.2014.10.006
Journal of differential equations, Vol. 258 (2015) , p. 846-879  
673.
16 p, 637.2 KB Integrability and limit cycles of Moon-Rand system / Barreira, Luis (Universidade de Lisboa. Departamento de Matemática) ; Valls, Clàudia 1973- (Universidade de Lisboa. Departamento de Matemática) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We study the Darboux integrability of the Moon-Rand polynomial differential system. Moreover we study the limit cycles of the perturbed Moon-Rand system bifurcating from the equilibrium point located at the origin, when it is perturbed inside the class of all quadratic polynomial differential systems in R3, and we prove that at first order in the perturbation parameter ε the perturbed system can exhibit one limit cycle, and that at second order it can exhibit four limit cycles bifurcating from the origin. [...]
2015 - 10.1016/j.ijnonlinmec.2014.11.029
International Journal of Non-Linear Mechanics, Vol. 69 (2015) , p. 129-136  
674.
19 p, 543.8 KB Dynamic systems behaviour analysis and design based on the qualitative theory of differential equations: the Boost power converter case / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Spinetti-Rivera, Mario (Universidad de Los Andes. Departamento de Sistemas de Control) ; Colina-Morles, Eliezer (Universidad de Cuenca. Departamento de Ingeniería Eléctrica, Electrónica y Telecomunicaciones)
2015 - 10.1080/00207179.2014.994037
International Journal of Control, Vol. 88 Núm. 6 (2015) , p. 1103-1111  
675.
11 p, 757.9 KB On the integrability and the Zero-Hopf bifurcation of a Chen-Wang differential system / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Oliveira, Regilene (Universidade de Sâo Paulo. Departamento de Matemática) ; Valls, Clàudia 1973- (Universidade de Lisboa. Departamento de Matemática)
2015 - 10.1007/s11071-014-1873-4
Nonlinear Dynamics, Vol. 80 (2015) , p. 353-361  
676.
23 p, 433.4 KB Phase portraits of uniform isochronous quartic centers / Itikawa, Jackson (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we classify the global phase portraits in the Poincaré disc of all quartic polynomial differential systems with a uniform isochronous center at the origin such that their nonlinear part is not homogeneous.
2015 - 10.1016/j.cam.2015.02.046
Journal of computational and applied mathematics, Vol. 287 (2015) , p. 98-114  
677.
13 p, 609.8 KB Limit cycles bifurcanting from the period annulus of a uniform isochronous center in a quartic polynomial differential system / Itikawa, Jackson (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We study the number of limit cycles that bifurcate from the periodic solutions surrounding a uniform isochronous center located at the origin of the quartic polynomial differential system =-y xy(x^2 y^2), =x y^2(x^2 y^2), when it is perturbed inside the class of all quartic polynomial differential systems. [...]
2015
Electronic journal of differential equations, Vol. 2015 Núm. 246 (2015) , p. 11  
678.
11 p, 303.9 KB Isochronicity and linearizability of planar polynomial Hamiltonian systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Romanovskii, Valery G. (University of Maribor. Center for Applied Mathematics and Theoretical Physics)
In this paper we study isochronicity and linearizability of planar polynomial Hamiltonian systems. First we prove a theorem which supports a negative answer to the following open question stated by Jarque and Villadelprat in [15]: Do there exist planar polynomial Hamiltonian systems of even degree having an isochronous center? Additionally we obtain some conditions for linearizability of complex cubic Hamiltonian systems.
2015 - 10.1016/j.jde.2015.03.009
Journal of differential equations, Vol. 259 (2015) , p. 1649-1662  

Artículos : Encontrados 718 registros   inicioanterior669 - 678siguientefinal  ir al registro:
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