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Articles 50 records found  beginprevious37 - 46next  jump to record: Search took 0.00 seconds. 
37.
22 p, 760.6 KB Polynomial and rational first integrals for planar quasi-homogeneous polynomial differential sytems / Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Grau, Maite (Universitat de Lleida. Departament de Matemàtica) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we find necessary and sufficient conditions in order that a planar quasi-homogeneous polynomial differential system has a polynomial or a rational first integral. We also prove that any planar quasi-homogeneous polynomial differential system can be transformed into a differential system of the form u˙ = uf(v), ˙v = g(v) with f(v) and g(v) polynomials, and vice versa.
2013 - 10.3934/dcds.2013.33.4531
Discrete and continuous dynamical systems. Series A, Vol. 33 Núm. 10 (2013) , p. 4531-4547  
38.
12 p, 727.4 KB On the extensions of the Darboux theory of integrability / Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Grau, Maite (Universitat de Lleida. Departament de Matemàtica) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Recently some extensions of the classical Darboux integrability theory to autonomous and non-autonomous polynomial vector fields have been done. The classical Darboux integrability theory and its recent extensions are based on the existence of algebraic invariant hypersurfaces. [...]
2013 - 10.1088/0951-7715/26/8/2221
Nonlinearity, Vol. 26 Núm. 8 (2013) , p. 2221-2229  
39.
18 p, 589.4 KB On the center conditions for analytic monodromic degenerate singularities / Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we present two methods for detecting centers of monodromic degenerate singularities of planar analytic vector fields. These methods use auxiliary symmetric vector fields can be applied independently that the singularity is algebraic solvable or not, or has characteristic directions or not. [...]
2012 - 10.1142/S0218127412503038
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 22 Núm. 2 (2012) , p. 1250303 (11 pp.)  
40.
13 p, 709.9 KB A second order analysis of the periodic solutions for nonlinear periodic differential systems with a small parameter / Buica, Adriana (Babeç-Bolyai University(Romania). Department of Applied Mathematics) ; Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We deal with nonlinear T-periodic differential systems depending on a small parameter. The unperturbed system has an invariant manifold of periodic solutions. We provide the expressions of the bifurcation functions up to second order in the small parameter in order that their simple zeros are initial values of the periodic solutions that persist after the perturbation. [...]
2012 - 10.1016/j.physd.2011.11.007
Physica D. Nonlinear phenomena, Vol. 241 (2012) , p. 528-533  
41.
4 p, 728.2 KB On Liouvillian integrability of the first-order polynomial ordinary differential equations / Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
2012 - 10.1016/j.jmaa.2012.05.072
Journal of mathematical analysis and applications, Vol. 395 (2012) , p. 802-805  
42.
13 p, 678.7 KB On the polynomial limit cycles of polynomial differential equations / Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Grau, Maite (Universitat de Lleida. Departament de Matemàtica) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
2011 - 10.1007/s11856-011-0019-3
Israel Journal of Mathematics, Vol. 181 (2011) , p. 461-475  
43.
10 p, 289.7 KB Weierstrass integrability in Liénard differential systems / Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this work we study the Liénard differential systems that admit a Weierstrass first integral or a Weierstrass inverse integrating factor.
2011 - 10.1016/j.jmaa.2010.11.005
Journal of mathematical analysis and applications, Vol. 377 Núm. 1 (2011) , p. 362-369  
44.
8 p, 335.6 KB On the planar integrable differential systems / Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Under very general assumptions we prove that the planar differential systems having a first integral are essentially the linear differential systems u˙ = u, ˙v = v. Additionally such systems always have a Lie symmetry. [...]
2011 - 10.1007/s00033-011-0116-5
ZAMP. Journal of Applied Mathematics and Physics, Vol. 62 Núm. 4 (2011) , p. 567-574  
45.
19 p, 771.0 KB Centers and isochronous centers for generalized quintic systems / Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)
In this paper we classify the centers and the isochronous centers of certain polynomial differential systems in R2 of degree d ≥ 5 odd that incomplex notation can be written as z˙ = (λ + i)z + (zz¯)d−52 (Az5 + Bz4z¯ + Cz3z¯2 + Dz2z¯3 + Ezz¯4 + Fz¯5),where λ ∈ R and A, B, C, D, E, F ∈ C. [...]
2015 - 10.1016/j.cam.2014.11.007
Journal of computational and applied mathematics, Vol. 279 (2015) , p. 173-186  
46.
13 p, 800.0 KB Centers for the Kukles homogeneous systems with odd degree / Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Instituto Superior Técnico (Lisboa). Departamento de Matemática)
For the polynomial differential system x ̇ = −y, y ̇ = x Q n (x, y), where Q n (x, y) is a homogeneous polynomial of degree n there are the following two conjectures raised in 1999. (1) Is it true that the previous system for n 2 has a center at the origin if and only if its vector field is symmetric about one of the coordinate axes? (2) Is it true that the origin is an isochronous center of the previous system with the exception of the linear center only if the system has even degree? We prove both conjectures for all n odd.
2015 - 10.1112/blms/bdv005
Bulletin of the London Mathematical Society, Vol. 47 Núm. 2 (2015) , p. 315-324  

Articles : 50 records found   beginprevious37 - 46next  jump to record:
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54 Gine, Jaume
54 Gine, Jaume
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