Articles

Articles 36 registres trobats  inicianterior27 - 36  anar al registre: La cerca s'ha fet en 0.03 segons. 
27.
12 p, 646.9 KB Darboux integrability of a generalized Friedmann-Robertson-Walker Hamiltonian system / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)
We study the Darboux first integrals of a generalized Friedmann-Robertson-Walker Hamiltonian system.
2013 - 10.1080/14029251.2013.854482
Journal of Nonlinear Mathematical Physics, Vol. 20 Núm. 3 (2013) , p. 394-406  
28.
18 p, 353.0 KB On the periodic orbits of perturbed Hooke Hamiltonian systems with three degrees of freedom / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mello, Luis Fernando (Universidade Federal de Itajubá(Brazil). Instituto de Ciências Exatas)
We study periodic orbits of Hamiltonian differential systems with three degrees of freedom using the averaging theory. We have chosen the classical integrable Hamiltonian system with the Hooke potential and we study periodic orbits which bifurcate from the periodic orbits of the integrable system perturbed with a non-autonomous potential.
2012 - 10.1016/j.geomphys.2011.12.017
Journal of geometry and physics, Vol. 62 (2012) , p. 1054-1063  
29.
13 p, 408.9 KB Bounding the number of zeros of certain Abelian integrals / Mañosas Capellades, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Villadelprat Yagüe, Jordi (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi)
In this paper we prove a criterion that provides an easy sufficient condition in order for any nontrivial linear combination of n Abelian integrals to have at most n + k − 1 zeros counted with multiplicities. [...]
2011 - 10.1016/j.jde.2011.05.026
Journal of differential equations, Vol. 251 (2011) , p. 1656-1669  
30.
15 p, 852.9 KB Polynomial integrability of the Hamiltonian systems with homogeneous potential of degree -3 / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mahdi, Adam (University of North Carolina at Charlotte. Mathematics Department) ; Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)
In this paper we study the polynomial integrability of natural Hamiltonian systems with two degrees of freedom having a homogeneous potential of degree k given either by a polynomial, or by an inverse of a polynomial. [...]
2011 - 10.1016/j.physd.2011.09.003
Physica D. Nonlinear phenomena, Vol. 240 (2011) , p. 1928-1935  
31.
14 p, 770.9 KB On the Darboux integrability of the Painlevé II equations / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)
In this paper we prove the non-existence of Darboux first integrals for the Painlev' II equations x = y − z/2− x2 , y = α + 1/2 + 2xy, z = 1 for all values of α ∈ C \ {αn : n = 2, 4, . . . [...]
2015 - 10.1080/14029251.2015.996441
Journal of Nonlinear Mathematical Physics, Vol. 22 Núm. 1 (2015) , p. 60-75  
32.
23 p, 443.5 KB The period function and the harmonic balance method / García-Saldaña, Johanna Denise (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we consider several families of potential non-isochronous systems and study their associated period functions. Firstly, we prove some properties of these functions, like their local behavior near the critical point or infinity, or their global monotonicity. [...]
2015 - 10.1016/j.bulsci.2014.08.002
Bulletin des Sciences Mathematiques, Vol. 139 (2015) , p. 33-60  
33.
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  
34.
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  
35.
9 p, 770.9 KB Analytic integrability of Hamiltonian systems with exceptional potentials / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)
We study the existence of analytic first integrals of the complex Hamiltonian systems of the form H = 1 2 ∑ 2 i=1 p 2 i + Vl(q1, q2) with the homogeneous polynomial potential Vl(q1, q2) = α(q2 − iq1) L (q2 + iq1) k−l , l = 0, . [...]
2015 - 10.1016/j.physleta.2015.07.034
Physics Letters. A, Vol. 379 (2015) , p. 2295-2299  
36.
7 p, 251.2 KB Finding Hamiltonian isochronous centers by non-canonical transformations / Sabatini, Marco (Universita di Trento. Dipartimento di Matematica)
Starting from a class of isochronous Hamiltonian centers, we produce a new class of Hamiltonian isochronous centers by using non-canonical transformations.
2014 - 10.5565/PUBLMAT_Extra14_22
Publicacions matemàtiques, Vol. Extra, Núm. (2014) , p. 453-459  

Articles : 36 registres trobats   inicianterior27 - 36  anar al registre:
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