Results overview: Found 6 records in 0.02 seconds.
Articles, 5 records found
Research literature, 1 records found
Articles 5 records found  
1.
17 p, 334.7 KB The local cyclicity problem : Melnikov method using Lyapunov constants / Gouveia, Luiz Fernando (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In 1991, Chicone and Jacobs showed the equivalence between the computation of the first-order Taylor developments of the Lyapunov constants and the developments of the first Melnikov function near a non-degenerate monodromic equilibrium point, in the study of limit cycles of small-amplitude bifurcating from a quadratic centre. [...]
2022 - 10.1017/S0013091522000128
Proceedings of the Edinburgh Mathematical Society, Vol. 65 Issue 2 (May 2022) , p. 356-375  
2.
21 p, 476.1 KB Lower bounds for the local cyclicity for families of centers / Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Gouveia, Luiz Fernando (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we are interested on how the local cyclicity of a family of centers depends on the parameters. This fact, was pointed out in [21], to prove that there exists a family of cubic centers, labeled by CD12 31 in [25], with more local cyclicity than expected. [...]
2021 - 10.1016/j.jde.2020.11.035
Journal of differential equations, Vol. 275 (February 2021) , p. 309-331  
3.
21 p, 356.4 KB Local cyclicity in low degree planar piecewise polynomial vector fields / Gouveia, Luiz Fernando (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this work, we are interested in isolated crossing periodic orbits in planar piecewise polynomial vector fields defined in two zones separated by a straight line. In particular, in the number of limit cycles of small amplitude. [...]
2021 - 10.1016/j.nonrwa.2020.103278
Nonlinear Analysis: Real World Applications, Vol. 60 (August 2021) , art. 103278  
4.
30 p, 468.7 KB Lower bounds for the local cyclicity of centers using high order developments and parallelization / Gouveia, Luiz Fernando (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We are interested in small-amplitude isolated periodic orbits, so-called limit cycles, surrounding only one equilibrium point, that we locate at the origin. We develop a parallelization technique to study higher order developments, with respect to the parameters, of the return map near the origin. [...]
2021 - 10.1016/j.jde.2020.08.027
Journal of differential equations, Vol. 271 (January 2021) , p. 447-479  
5.
7 p, 237.2 KB 24 crossing limit cycles in only one nest for piecewise cubic systems / Gouveia, Luiz Fernando (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this work, we are interested in crossing limit cycles surrounding only one equilibrium point or a sliding segment. The studied systems are piecewise cubic polynomial defined in two zones separated by a straight line. [...]
2020 - 10.1016/j.aml.2019.106189
Applied Mathematics Letters, Vol. 103 (May 2020) , art. 106189  

Research literature 1 records found  
1.
995.3 KB Limit cycles of small amplitude in polynomial and piecewise polynomial planar vector fields / Silva Gouveia, Luiz Fernando da ; Torregrosa, Joan, dir. ; Universitat Autònoma de Barcelona. Departament de Matemàtiques
David Hilbert l'any 1900, al Congrés Internacional de Matemàtiques va proposar 23 problemes que, segons el seu parer, motivarien els avenços en matemàtiques durant el segle XX. Entre aquests problemes, n'hi ha un apareix en l'estudi de les equacions diferencials ordinàries. [...]
David Hilbert en el año 1900, en el Congreso Internacional de Matemáticas, propuso 23 problemas que, en su opinión, motivarían los avances en matemáticas durante el siglo XX. Entre estos problemas, uno está relacionado con el estudio de las ecuaciones diferenciales ordinarias. [...]
David Hilbert in the year 1900, in the International Congress of Mathematics proposed 23 problems that in his opinion would motivate advances in mathematics during the 20th century. Among these problems, one is linked with the study of ordinary differential equations. [...]

[Barcelona] : Universitat Autònoma de Barcelona, 2020.  

See also: similar author names
1 Gouveia, Leonor
1 Gouveia, Luis
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