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1

Non-Stabilisable Jets of Diffeomorphisms in R2and of Vector Fields in R3

Freddy Dumortier

Journal:

Annals of Mathematics

Year:

1986

Language:

english

File:

PDF, 1.97 MB

english, 1986

2

Non-Stabilisable Jets of Diffeomorphisms in R2and of Vector Fields in R3

Freddy Dumortier

Journal:

Annals of Mathematics

Year:

1986

Language:

english

File:

PDF, 1.94 MB

english, 1986

3

The critical wave speed for the Fisher–Kolmogorov–Petrowskii–Piscounov equation with cut-off

Dumortier, Freddy, Popović, Nikola, Kaper, Tasso J

Journal:

Year:

2007

Language:

english

File:

PDF, 997 KB

english, 2007

4

The asymptotic critical wave speed in a family of scalar reaction–diffusion equations

Freddy Dumortier, Nikola Popović, Tasso J. Kaper

Journal:

Journal of Mathematical Analysis and Applications

Year:

2007

Language:

english

File:

PDF, 493 KB

english, 2007

5

A geometric approach to bistable front propagation in scalar reaction–diffusion equations with cut-off

Freddy Dumortier, Nikola Popović, Tasso J. Kaper

Journal:

Physica D: Nonlinear Phenomena

Year:

2010

Language:

english

File:

PDF, 691 KB

english, 2010

6

On a linearization theorem of Sternberg for germs of diffeomorphisms

Patrick Bonckaert, Freddy Dumortier

Journal:

Mathematische Zeitschrift

Year:

1984

Language:

english

File:

PDF, 820 KB

english, 1984

7

Quadratic Models for Generic Local 3-Parameter Bifurcations on the Plane

Freddy Dumortier and Peter Fiddelaers

Journal:

Transactions of the American Mathematical Society

Year:

1991

Language:

english

File:

PDF, 586 KB

english, 1991

8

Wave speeds for the FKPP equation with enhancements of the reaction function

Dumortier, Freddy, Kaper, Tasso J.

Journal:

Zeitschrift für Angewandte Mathematik und Physik (ZAMP)

Year:

2015

Language:

english

File:

PDF, 516 KB

english, 2015

9

New aspects in the unfolding of the nilpotent singularity of codimension three

Dumortier, Freddy, Ibnez, Santiago, Kokubu, Hiroshi

Journal:

Dynamical Systems / An International Journal

Year:

2001

Language:

english

File:

PDF, 658 KB

english, 2001

10

Transition Time Analysis in Singularly Perturbed Boundary Value Problems

Freddy Dumortier and Bert Smits

Journal:

Transactions of the American Mathematical Society

Year:

1995

Language:

english

File:

PDF, 1.03 MB

english, 1995

11

Canard Solutions at Non-Generic Turning Points

Peter de Maesschalck and Freddy Dumortier

Journal:

Transactions of the American Mathematical Society

Year:

2006

Language:

english

File:

PDF, 3.09 MB

english, 2006

12

Quadratic models for generic local $3$-parameter bifurcations on the plane

Dumortier, Freddy, Fiddelaers, Peter

Journal:

Transactions of the American Mathematical Society

Year:

1991

Language:

english

File:

PDF, 1.82 MB

english, 1991

13

On the Decidability of Semilinearity for Semialgebraic Sets and Its Implications for Spatial Databases

Freddy Dumortier, Marc Gyssens, Luc Vandeurzen, Dirk Van Gucht

Journal:

Journal of Computer and System Sciences

Year:

1999

Language:

english

File:

PDF, 509 KB

english, 1999

14

Quadratic Liénard Equations with Quadratic Damping

Freddy Dumortier, Chengzhi Li

Journal:

Journal of Differential Equations

Year:

1997

Language:

english

File:

PDF, 417 KB

english, 1997

15

Unfolding of a Quadratic Integrable System with Two Centers and Two Unbounded Heteroclinic Loops

Freddy Dumortier, Chengzhi Li, Zifen Zhang

Journal:

Journal of Differential Equations

Year:

1997

Language:

english

File:

PDF, 591 KB

english, 1997

16

Polynomial Liénard Equations near Infinity

Freddy Dumortier, Chris Herssens

Journal:

Journal of Differential Equations

Year:

1999

Language:

english

File:

PDF, 378 KB

english, 1999

17

Local Bifurcations and a Survey of Bounded Quadratic Systems

Freddy Dumortier, Chris Herssens, Lawrence Perko

Journal:

Journal of Differential Equations

Year:

2000

Language:

english

File:

PDF, 318 KB

english, 2000

18

Multiple Canard Cycles in Generalized Liénard Equations

Freddy Dumortier, Robert Roussarie

Journal:

Journal of Differential Equations

Year:

2001

Language:

english

File:

PDF, 337 KB

english, 2001

19

Perturbations from an Elliptic Hamiltonian of Degree Four: I. Saddle Loop and Two Saddle Cycle

Freddy Dumortier, Chengzhi Li

Journal:

Journal of Differential Equations

Year:

2001

Language:

english

File:

PDF, 399 KB

english, 2001

20

Perturbations from an Elliptic Hamiltonian of Degree Four: II. Cuspidal Loop

Freddy Dumortier, Chengzhi Li

Journal:

Journal of Differential Equations

Year:

2001

Language:

english

File:

PDF, 388 KB

english, 2001

21

Singularities of vector fields on the plane

Freddy Dumortier

Journal:

Journal of Differential Equations

Year:

1977

Language:

english

File:

PDF, 2.58 MB

english, 1977

22

Smooth invariant curves for germs of vector fields in R3 whose linear part generates a rotation

Patrick Bonckaert, Freddy Dumortier

Journal:

Journal of Differential Equations

Year:

1986

Language:

english

File:

PDF, 946 KB

english, 1986

23

Transition functions and moduli of stability for 3-dimensional homogeneous vector fields with a hyperbolic blowing-up

Freddy Dumortier

Journal:

Journal of Differential Equations

Year:

1991

Language:

english

File:

PDF, 913 KB

english, 1991

24

Finiteness for critical periods of planar analytic vector fields

Carmen Chicone, Freddy Dumortier

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1993

Language:

english

File:

PDF, 1.57 MB

english, 1993

25

Time and entry–exit relation near a planar turning point

Peter De Maesschalck, Freddy Dumortier

Journal:

Comptes Rendus Mathematique

Year:

2004

Language:

french

File:

PDF, 117 KB

french, 2004

26

Alien limit cycles near a Hamiltonian 2-saddle cycle

Magdalena Caubergh, Freddy Dumortier, Robert Roussarie

Journal:

Comptes Rendus Mathematique

Year:

2005

Language:

french

File:

PDF, 108 KB

french, 2005

27

Abelian integrals and limit cycles

Freddy Dumortier, Robert Roussarie

Journal:

Journal of Differential Equations

Year:

2006

Language:

english

File:

PDF, 443 KB

english, 2006

28

Compactification and desingularization of spaces of polynomial Liénard equations

Freddy Dumortier

Journal:

Journal of Differential Equations

Year:

2006

Language:

english

File:

PDF, 223 KB

english, 2006

29

Multi-layer canard cycles and translated power functions

Freddy Dumortier, Robert Roussarie

Journal:

Journal of Differential Equations

Year:

2008

Language:

english

File:

PDF, 307 KB

english, 2008

30

Limit cycles near hyperbolas in quadratic systems

Joan C. Artés, Freddy Dumortier, Jaume Llibre

Journal:

Journal of Differential Equations

Year:

2009

Language:

english

File:

PDF, 309 KB

english, 2009

31

Corrigendum to “Multi-layer canard cycles and translated power functions” [J. Differential Equations 244 (2008) 1329–1358]

Freddy Dumortier, Robert Roussarie

Journal:

Journal of Differential Equations

Year:

2008

Language:

english

File:

PDF, 69 KB

english, 2008

32

Perturbation from an elliptic Hamiltonian of degree four—IV figure eight-loop

Freddy Dumortier, Chengzhi Li

Journal:

Journal of Differential Equations

Year:

2003

Language:

english

File:

PDF, 434 KB

english, 2003

33

Perturbation from an elliptic Hamiltonian of degree four—III global centre

Freddy Dumortier, Chengzhi Li

Journal:

Journal of Differential Equations

Year:

2003

Language:

english

File:

PDF, 351 KB

english, 2003

34

Tracing phase portraits of planar polynomial vector fields with detailed analysis of the singularities

Freddy Dumortier, Chris Herssens

Journal:

Qualitative Theory of Dynamical Systems

Year:

1999

File:

PDF, 1.74 MB

1999

35

Cubic Liénard equations with quadratic damping having two antisaddles

Freddy Dumortier, Robert E. Kooij, Chengzhi Li

Journal:

Qualitative Theory of Dynamical Systems

Year:

2000

Language:

english

File:

PDF, 748 KB

english, 2000

36

Limit Periodic Sets in Polynomial Liénard Equations

Stijn Luca, Freddy Dumortier

Journal:

Qualitative Theory of Dynamical Systems

Year:

2009

Language:

english

File:

PDF, 839 KB

english, 2009

37

Slow Divergence Integral and Balanced Canard Solutions

Freddy Dumortier

Journal:

Qualitative Theory of Dynamical Systems

Year:

2011

Language:

english

File:

PDF, 313 KB

english, 2011

38

Smooth Normal Linearization of Vector Fields Near Lines of Singularities

Freddy Dumortier, Robert Roussarie

Journal:

Qualitative Theory of Dynamical Systems

Year:

2010

Language:

english

File:

PDF, 459 KB

english, 2010

39

Paradigms of Notch Signaling in Mammals

Alexis Dumortier, Anne Wilson, H. Robson MacDonald, Freddy Radtke

Journal:

International Journal of Hematology

Year:

2005

Language:

english

File:

PDF, 619 KB

english, 2005

40

Recent developments in the study of singularities of vectorfields

Freddy Dumortier

Journal:

Bulletin of the Brazilian Mathematical Society, New Series

Year:

1975

Language:

english

File:

PDF, 668 KB

english, 1975

41

Canonical Notch Signaling Is Dispensable for the Maintenance of Adult Hematopoietic Stem Cells

Ivan Maillard, Ute Koch, Alexis Dumortier, Olga Shestova, Lanwei Xu, Hong Sai, Seth E. Pross, Jon C. Aster, Avinash Bhandoola, Freddy Radtke, Warren S. Pear

Journal:

Year:

2008

Language:

english

File:

PDF, 1.11 MB

english, 2008

42

Canard-cycle transition at a fast–fast passage through a jump point

De Maesschalck, Peter, Dumortier, Freddy, Roussarie, Robert

Journal:

Comptes Rendus Mathematique

Year:

2014

Language:

french

File:

PDF, 208 KB

french, 2014

43

Canard cycle transition at a slow–fast passage through a jump point

De Maesschalck, Peter, Dumortier, Freddy, Roussarie, Robert

Journal:

Comptes Rendus Mathematique

Year:

2014

Language:

french

File:

PDF, 236 KB

french, 2014

44

10.1090/s0002-9939-07-08688-1

Dumortier, Freddy, Panazzolo, Daniel, Roussarie, Robert

Journal:

Proceedings of the American Mathematical Society

Year:

2007

Language:

english

File:

PDF, 208 KB

english, 2007

45

On the uniqueness of limit cycles surrounding one or more singularities for Liénard equations

Dumortier, Freddy, Li, Chengzhi

Journal:

Year:

1996

Language:

english

File:

PDF, 234 KB

english, 1996

46

A degenerate singularity generating geometric Lorenz attractors

Dumortier, Freddy, Kokubu, Hiroshi, Oka, Hiroe

Journal:

Ergodic Theory and Dynamical Systems

Year:

1995

Language:

english

File:

PDF, 1.19 MB

english, 1995

47

Algebraic curves of maximal cyclicity

CAUBERGH, MAGDALENA, DUMORTIER, FREDDY

Journal:

Mathematical Proceedings of the Cambridge Philosophical Society

Year:

2006

Language:

english

File:

PDF, 400 KB

english, 2006

48

Cocoon bifurcation in three-dimensional reversible vector fields

Dumortier, Freddy, Ibáñez, Santiago, Kokubu, Hiroshi

Journal:

Year:

2006

Language:

english

File:

PDF, 801 KB

english, 2006

49

[ACM Press the sixteenth ACM SIGACT-SIGMOD-SIGART symposium - Tucson, Arizona, United States (1997.05.11-1997.05.15)] Proceedings of the sixteenth ACM SIGACT-SIGMOD-SIGART symposium on Principles of database systems - PODS '97 - On the decidability of semi-linearity for semi-algebraic sets and its implications for spatial databases (extended abstract)

Dumortier, Freddy, Gyssens, Marc, Vandeurzen, Luc, Van Gucht, Dirk

Year:

1997

Language:

english

File:

PDF, 1.61 MB

english, 1997

50

Bifurcations of cuspidal loops

Dumortier, Freddy, Roussarie, Robert, Sotomayor, Jorge

Journal:

Year:

1997

Language:

english

File:

PDF, 459 KB

english, 1997