Hilbert's 16th problem for classical Liénard equations of even degree M Caubergh, F Dumortier Journal of Differential Equations 244 (6), 1359-1394, 2008 | 41 | 2008 |
Hopf-Takens bifurcations and centres M Caubergh, F Dumortier Journal of Differential Equations 202 (1), 1-31, 2004 | 40 | 2004 |
Alien limit cycles near a Hamiltonian 2-saddle cycle M Caubergh, F Dumortier, R Roussarie Comptes Rendus Mathematique 340 (8), 587-592, 2005 | 24 | 2005 |
Generalized Liénard equations, cyclicity and Hopf-Takens bifurcations M Caubergh, JP Françoise Qualitative Theory of Dynamical Systems 5, 195-222, 2004 | 19 | 2004 |
Detecting alien limit cycles near a Hamiltonian 2-saddle cycle S Luca, F Dumortier, M Caubergh, R Roussarie Discrete and Continuous Dynamical Systems 25 (4), 1081-1108, 2009 | 15 | 2009 |
Hilbert’s sixteenth problem for polynomial Liénard equations M Caubergh Qualitative theory of dynamical systems 11, 3-18, 2012 | 14 | 2012 |
Alien limit cycles in rigid unfoldings of a Hamiltonian 2-saddle cycle M Caubergh, F Dumortier, R Roussarie Communications on Pure and Applied Analysis 6 (1), 1-21, 2006 | 13 | 2006 |
Global classification of a class of cubic vector fields whose canonical regions are period annuli M Caubergh, J Llibre, J Torregrosa International Journal of Bifurcation and Chaos 21 (07), 1831-1867, 2011 | 10 | 2011 |
Global phase portraits of some reversible cubic centers with collinear or infinitely many singularities M Caubergh, J Llibre, J Torregrosa International Journal of Bifurcation and Chaos 22 (11), 1250273, 2012 | 8 | 2012 |
Limit cycles near vector fields of center type M Caubergh UHasselt Diepenbeek, 2004 | 8 | 2004 |
Cyclicity of unbounded semi-hyperbolic 2-saddle cycles in polynomial Liénard systems M Caubergh, F Dumortier, S Luca Discrete and Continuous Dynamical Systems 27 (3), 963-980, 2010 | 7 | 2010 |
Configurations of zeroes of analytic functions M Caubergh Comptes Rendus de l'Académie des Sciences-Series I-Mathematics 333 (4), 307-312, 2001 | 7 | 2001 |
Algebraic curves of maximal cyclicity M Caubergh, F Dumortier Mathematical Proceedings of the Cambridge Philosophical Society 140 (1), 47-70, 2006 | 6 | 2006 |
Global phase portraits of some reversible cubic centers with noncollinear singularities M Caubergh, J Torregrosa International Journal of Bifurcation and Chaos 23 (09), 1350161, 2013 | 4 | 2013 |
Relations between Abelian integrals and limit cycles M Caubergh, R Roussarie Normal Forms, Bifurcations and Finiteness Problems in Differential Equations …, 2004 | 4 | 2004 |
Bifurcation of the separatrix skeleton in some 1-parameter families of planar vector fields M Caubergh Journal of Differential Equations 259 (3), 989-1013, 2015 | 3 | 2015 |
Absolute cyclicity, Lyapunov quantities and center conditions M Caubergh, A Gasull Journal of mathematical analysis and applications 366 (1), 297-309, 2010 | 2 | 2010 |
Canard cycles with three breaking mechanisms M Caubergh, R Roussarie Mathematical Sciences with Multidisciplinary Applications: In Honor of …, 2016 | 1 | 2016 |
Separatrix skeleton and limit cycles in some 1-parameter families of planar vector fields M Caubergh Proceedings of the XXIV Congress on Differential Equations and Applications …, 2015 | | 2015 |
Hilbert 16th Problem, large amplitude and alien limit cycles M Caubergh Equadiff 2011, 2011 | | 2011 |