- Institut Politècnic d’Innovació i Recerca en Sostenibilitat (INSPIRES)
Instituto de investigación
![Foto de Hector J.](/img/nophoto.png)
Hector J.
Giacomini
Publicaciones en las que colabora con Hector J. Giacomini (26)
2018
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Localizing limit cycles: From numeric to analytical results
Trends in Mathematics (Springer International Publishing), pp. 7-11
2017
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Effective construction of Poincaré-Bendixson regions
Journal of Applied Analysis and Computation, Vol. 7, Núm. 4, pp. 1549-1569
2016
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Analytic nilpotent centers as limits of nondegenerate centers revisited
Journal of Mathematical Analysis and Applications, Vol. 441, Núm. 2, pp. 893-899
2015
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Transversal conics and the existence of limit cycles
Journal of Mathematical Analysis and Applications, Vol. 428, Núm. 1, pp. 563-586
2011
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Generalized Hopf Bifurcation for Planar Vector Fields via the Inverse Integrating Factor
Journal of Dynamics and Differential Equations, Vol. 23, Núm. 2, pp. 251-281
2010
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The inverse integrating factor and the poincaŕe map
Transactions of the American Mathematical Society, Vol. 362, Núm. 7, pp. 3591-3612
2008
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Linearizable planar differential systems via the inverse integrating factor
Journal of Physics A: Mathematical and Theoretical, Vol. 41, Núm. 13
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On the stability of periodic orbits for differential systems in R n
Discrete and Continuous Dynamical Systems - Series B, Vol. 10, Núm. 2-3, pp. 495-509
2007
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Corrigendum to: "The problem of distinguishing between a center and a focus for nilpotent and degenerate analytic systems" [J. Differential Equations 227 (2006) 406-426] (DOI:10.1016/j.jde.2006.03.012)
Journal of Differential Equations
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Estudio de la bifurcación de ciclos limite a partir de un gráfico mediante el inverso de factor integrante.
XX Congreso de ecuaciones diferenciales y aplicaciones y X Congreso de Matemáticas aplicadas
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The role of algebraic solutions in planar polynomial differential systems
Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 143, Núm. 2, pp. 487-508
2006
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An algorithmic method to determine integrability for polynomial planar vector fields
European Journal of Applied Mathematics, Vol. 17, Núm. 2, pp. 161-170
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Integrability of planar polynomial differential systems through linear differential equations
Rocky Mountain Journal of Mathematics, Vol. 36, Núm. 2, pp. 457-485
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The problem of distinguishing between a center and a focus for nilpotent and degenerate analytic systems
Journal of Differential Equations, Vol. 227, Núm. 2, pp. 406-426
2005
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Generalized nonlinear superposition principles
EQUADIFF 2003: INTERNATIONAL CONFERENCE ON DIFFERENTIAL EQUATIONS
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Generalized nonlinear superposition principles for polynomial planar vector fields
Journal of Lie Theory, Vol. 15, Núm. 1, pp. 89-104
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Necessary conditions for the existence of invariant algebraic curves for planar polynomial systems
Bulletin des Sciences Mathematiques, Vol. 129, Núm. 2, pp. 99-126
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On the stability of limit cycles for planar differential systems
Journal of Differential Equations, Vol. 213, Núm. 2, pp. 368-388
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Quadratic systems with an algebraic limit cycle of degree 2 or 4 do not have a Liouvillian first integral
EQUADIFF 2003: INTERNATIONAL CONFERENCE ON DIFFERENTIAL EQUATIONS
2003
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Darboux integrability and the inverse integrating factor
Journal of Differential Equations, Vol. 194, Núm. 1, pp. 116-139