DUMORTIER, Freddy

Full Name
DUMORTIER, Freddy
Email
freddy.dumortier@uhasselt.be
 
Loading... 5 0 5 0 false
Loading... 6 0 5 0 false

Publications

Results 1-82 of 94 (Search time: 0.002 seconds).

Issue DateTitleContributor(s)TypeCat.
12023Side-Comparison for Transition Maps in Multi-Layer Canard ProblemsDE MAESSCHALCK, Peter; DUMORTIER, Freddy; Roussarie, RobertJournal ContributionA1
22022A flow box theorem for 2d slow-fast vector fields and diffeomorphisms and the slow log-determinant integralDUMORTIER, FreddyJournal ContributionA1
32021Canard cycles. From birth to transitionDE MAESSCHALCK, Peter; DUMORTIER, Freddy; Roussarie, RobertBookB1
42015Wave speeds for the FKPP equation with enhancements of the reaction functionDUMORTIER, Freddy; Kaper, Tasso J.Journal ContributionA1
52014Primary birth of canard cycles in slow-fast codimension 3 elliptic bifurcationsHUZAK, Renato; DE MAESSCHALCK, Peter; DUMORTIER, FreddyJournal ContributionA1
62014Canard-cycle transition at a fast-fast passage through a jump pointDE MAESSCHALCK, Peter; DUMORTIER, Freddy; Roussarie, RobertJournal ContributionA1
72014Canard cycle transition at a slow-fast passage through a jump pointDE MAESSCHALCK, Peter; DUMORTIER, Freddy; Roussarie, RobertJournal ContributionA1
82013Alien limit cycles in Lienard equationsColl, B.; DUMORTIER, Freddy; Prohens, R.Journal ContributionA1
92013ABOUT THE UNFOLDING OF A HOPF-ZERO SINGULARITYDUMORTIER, Freddy; IBANEZ MESA, Santiago; Kokubu, Hiroshi; Simo, CarlesJournal ContributionA1
102013Configurations of limit cycles in Lienard equationsColl, B.; DUMORTIER, Freddy; Prohens, R.Journal ContributionA1
112013Limit cycles in slow-fast codimension 3 saddle and elliptic bifurcationsDE MAESSCHALCK, Peter; HUZAK, Renato; DUMORTIER, FreddyJournal ContributionA1
122012Sharp upperbounds for the number of large amplitude limit cycles in polynomial lienard sytemsDUMORTIER, FreddyJournal ContributionA1
132011BIFURCATIONS OF MULTIPLE RELAXATION OSCILLATIONS IN POLYNOMIAL LIENARD EQUATIONSDE MAESSCHALCK, Peter; DUMORTIER, FreddyJournal ContributionA1
142011Classical Lienard equations of degree n >= 6 can have [n-1/2]+2 limit cyclesDE MAESSCHALCK, Peter; DUMORTIER, FreddyJournal ContributionA1
152011Slow-fast Bogdanov-Takens bifurcationsDE MAESSCHALCK, Peter; DUMORTIER, FreddyJournal ContributionA1
162011Well adapted normal linearization in singular perturbation problemsBONCKAERT, Patrick; DE MAESSCHALCK, Peter; DUMORTIER, FreddyJournal ContributionA1
172011DETECTABLE CANARD CYCLES WITH SINGULAR SLOW DYNAMICS OF ANY ORDER AT THE TURNING POINTDE MAESSCHALCK, Peter; DUMORTIER, FreddyJournal ContributionA1
182011Cyclicity of common slow-fast cyclesDE MAESSCHALCK, Peter; DUMORTIER, Freddy; Roussarie, RobertJournal ContributionA1
192010A geometric approach to bistable front propagation in scalar reaction-diffusion equations with cut-offDUMORTIER, Freddy; Popovic, Nikola; Kaper, Tasso J.Journal ContributionA1
202010CYCLICITY OF UNBOUNDED SEMI-HYPERBOLIC 2-SADDLE CYCLES IN POLYNOMIAL LIENARD SYSTEMSCAUBERGH, Magdalena; DUMORTIER, Freddy; LUCA, StijnJournal ContributionA1
212010Singular perturbations and vanishing passage through a turning pointDE MAESSCHALCK, Peter; DUMORTIER, FreddyJournal ContributionA1
222009DETECTING ALIEN LIMIT CYCLES NEAR A HAMILTONIAN 2-SADDLE CYCLELUCA, Stijn; DUMORTIER, Freddy; CAUBERGH, Magdalena; Roussarie, R.Journal ContributionA1
232009\it {L}imit cycles of differential equationsDUMORTIER, FreddyJournal ContributionM
242009Limit cycles near hyperbolas in quadratic systemsArtes, Joan C.; DUMORTIER, Freddy; Llibre, JaurneJournal ContributionA1
252009Limit periodic sets in polynomial {L}i\'enard equationsLUCA, Stijn; DUMORTIER, FreddyJournal ContributionA2
262009STUDY OF THE CYCLICITY OF SOME DEGENERATE GRAPHICS INSIDE QUADRATIC SYSTEMSDUMORTIER, Freddy; Rousseau, ChristianeJournal ContributionA1
272009Preface: Special issue on bifurcation delayDE MAESSCHALCK, Peter; DUMORTIER, Freddy; Wechselberger, MartinJournal ContributionM
282009Birth of canard cyclesDUMORTIER, Freddy; Roussarie, RobertJournal ContributionA1
292008Hilbert's 16th problem for classical Lienard equations of even degreeCAUBERGH, Magdalena; DUMORTIER, FreddyJournal ContributionA1
302008Canard cycles with two breaking parameters (vol 17, pg 787, 2007)DUMORTIER, Freddy; Roussarie, RobertJournal ContributionM
312008Canard cycles in the presence of slow dynamics with singularitiesDE MAESSCHALCK, Peter; DUMORTIER, FreddyJournal ContributionA1
322008Multi-layer canard cycles and translated power functions (vol 244, pg 1329, 2008) CorrectionDUMORTIER, Freddy; Roussarie, RobertJournal ContributionM
332008Multi-layer canard cycles and translated power functionsDUMORTIER, Freddy; Roussarie, R.Journal ContributionA1
342007More limit cycles than expected in Lienard equationsDUMORTIER, Freddy; Panazzolo, Daniel; Roussarie, RobertJournal ContributionA1
352007The period function of classical Lienard equationsDE MAESSCHALCK, Peter; DUMORTIER, FreddyJournal ContributionA1
362007The critical wave speed for the Fisher-Kolmogorov-Petrowskii-Piscounov equation with cut-offDUMORTIER, Freddy; Popovic, Nikola; Kaper, Tasso J.Journal ContributionA1
372007Canard cycles with two breaking parametersDUMORTIER, Freddy; Roussarie, RobertJournal ContributionA1
382007Bifurcation of relaxation oscillations in dimension twoDUMORTIER, Freddy; Roussarie, RobertJournal ContributionA1
392007The asymptotic critical wave speed in a family of scalar reaction-diffusion equationsDUMORTIER, Freddy; Popovic, Nikola; Kaper, Tasso J.Journal ContributionA1
402007Alien limit cycles in rigid unfoldings of a Hamiltonian 2-saddle cycleCAUBERGH, Magdalena; DUMORTIER, Freddy; Roussarie, RobertJournal ContributionA1
412006Qualitative Theory Of Planar Differential SystemsDUMORTIER, Freddy; Libre, J.; Artes, Joan C.BookB1
422006Canard solutions at non-generic turning pointsDE MAESSCHALCK, Peter; DUMORTIER, FreddyJournal ContributionA1
432006Asymptotic phase and invariant foliations near periodic orbitsDUMORTIER, FreddyJournal ContributionA1
442006Compactification and desingularization of spaces of polynomial Lienard equationsDUMORTIER, FreddyJournal ContributionA1
452006Algebraic curves of maximal cyclicityCAUBERGH, Magdalena; DUMORTIER, FreddyJournal ContributionA1
462006Abelian integrals and limit cyclesDUMORTIER, Freddy; Roussarie, R.Journal ContributionA1
472006Cocoon bifurcation in three-dimensional reversible vector fieldsDUMORTIER, Freddy; IBANEZ MESA, Santiago; Kobubu, H.Journal ContributionA1
482005EQUADIFF 2003: proceedings of the International Conference on Differential Equations, Hasselt, Belgium, 22-26 July 2003DUMORTIER, Freddy; Broer, H.; Mawhin, J.; Vanderbauwhede, A.; Verduyn, Lunel S.BookB1
492005The use of Melnikov functions in multidimensional parameter families: algebraic curves of maximal cyclicityCAUBERGH, Magdalena; DUMORTIER, FreddyProceedings PaperC1
502005Canard solutions at nongeneric turning pointsDE MAESSCHALCK, Peter; DUMORTIER, FreddyProceedings PaperC1
512005Time analysis and entry-exit relation near planar turning pointsDE MAESSCHALCK, Peter; DUMORTIER, FreddyJournal ContributionA1
522005Alien limit cycles near a Hamiltonian 2-saddle cycleCAUBERGH, Magdalena; DUMORTIER, Freddy; Roussarie, RJournal ContributionA1
532004Topics on singularities and bifurcations of vector fieldsDUMORTIER, Freddy; DE MAESSCHALCK, PeterProceedings PaperC1
542004Hopf-takens bifurcations and centresCAUBERGH, Magdalena; DUMORTIER, FreddyJournal ContributionA1
552004Time and entry-exit relation near a planar turning pointDE MAESSCHALCK, Peter; DUMORTIER, FreddyJournal ContributionA1
562003Perturbation from an elliptic Hamiltonian of degree four - IV figure eight-loopDUMORTIER, Freddy; Li, CZJournal ContributionA1
572003Perturbation from an elliptic Hamiltonian of degree four - III global centreDUMORTIER, Freddy; Li, CZJournal ContributionA1
582002Normal forms near a saddle-node and applications to finite cyclicity of graphicsDUMORTIER, Freddy; Ilyashenko, Y; Rousseau, CJournal ContributionA1
592002Finite cyclicity of elementary graphics surrounding a focus or center in quadratic systemsDUMORTIER, Freddy; Guzmann, A.; Roussarie, R.Journal ContributionA2
602001Generic unfolding of the nilpotent saddle of codimension 4DUMORTIER, Freddy; Fiddelaers, P.; LI, ChengzhiBook SectionB2
612001Multiple canard cycles in generalized Lienard equationsDUMORTIER, Freddy; Roussarie, R.Journal ContributionA1
622001Perturbations from an elliptic Hamiltonian of degree four I. Saddle loop and two saddle cycleDUMORTIER, Freddy; LI, ChengzhiJournal ContributionA1
632001Perturbations from an elliptic Hamiltonian of degree four - II. Cuspidal loopDUMORTIER, Freddy; LI, ChengzhiJournal ContributionA1
642001New aspects in the unfolding of the nilpotent singularity of codimension threeDUMORTIER, Freddy; IBANEZ MESA, Santiago; KOKUBU, HiroshiJournal ContributionA1
652000Chaotic dynamics in Z(2)-equivariant unfoldings of codimension three singularities of vector fields in R-3DUMORTIER, Freddy; KOKUBU, HiroshiJournal ContributionA1
662000Geometric singular perturbation theory: centre manifolds and blow upDUMORTIER, FreddyProceedings PaperC1
672000Cubic LiĆ©nard equations with quadratic damping having two antisaddlesKooij, R.; LI, Chengzhi; DUMORTIER, FreddyJournal ContributionA2
682000Perturbations from an elliptic Hamiltonian of degree fourDUMORTIER, Freddy; LI, ChengzhiProceedings PaperC1
692000Geometric singular perturbation theory beyond normal hyperbolicityDUMORTIER, Freddy; Roussarie, R.Book SectionB2
702000Local bifurcations and a survey of bounded quadratic systemsDUMORTIER, Freddy; HERSSENS, Chris; Perko, LJournal ContributionA1
711999Polynomial Lienard equations near infinityDUMORTIER, Freddy; HERSSENS, ChrisJournal Contribution
721999Codimension 4 singularities of reflectionally symmetric planar vector fieldsDUMORTIER, Freddy; IBANEZ MESA, SantiagoJournal Contribution
731999Tracing phase portraits of planar polynomial vector fields with detailed analysis of the singularitiesDUMORTIER, Freddy; HERSSENS, ChrisJournal Contribution
741999On the decidability of semilinearity for semialgebraic sets and its implications for spatial databases. CORRIGENDUMDUMORTIER, Freddy; GYSSENS, Marc; VANDEURZEN, Luc; Van Gucht, DirkJournal Contribution
751999On the decidability of semilinearity for semialgebraic sets and its implications for spatial databasesDUMORTIER, Freddy; GYSSENS, Marc; VANDEURZEN, Luc; Van Gucht, DJournal Contribution
761998Singularities of vector fields on IR-3DUMORTIER, Freddy; IBANEZ MESA, SantiagoJournal Contribution
771997Bifurcations of cuspidal loopsDUMORTIER, Freddy; Roussarie, R; Sotomayor, JJournal Contribution
781997Unfolding of a quadratic integrable system with two centers and two unbounded heteroclinic loopsDUMORTIER, Freddy; Li, CZ; ZHANG, ZefanJournal Contribution
791997Quadratic Lienard equations with quadratic dampingDUMORTIER, Freddy; Li, CZJournal Contribution
801997On the Decidability of Semi-Linearity of Semi-Algebraic Sets and Its Implications for Spatial DatabasesDUMORTIER, Freddy; GYSSENS, Marc; Van Gucht, Dirk; VANDEURZEN, LucProceedings Paper
811996Nilpotent singularities in generic 4-parameter families of 3-dimensional vector fieldsDUMORTIER, Freddy; IBANEZ MESA, SantiagoJournal Contribution
821996Canard cycles and center manifoldsDUMORTIER, Freddy; Roussarie, R.Journal Contribution