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Author ID: roussarie.robert Recent zbMATH articles by "Roussarie, Robert"
Published as: Roussarie, Robert; Roussarie, R.; Roussairie, Robert; Roussarrie, Robert; Roussarie, R. H.
all top 5

Serials

11 Journal of Differential Equations
7 Discrete and Continuous Dynamical Systems
6 Qualitative Theory of Dynamical Systems
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
4 Lecture Notes in Mathematics
3 Nonlinearity
3 Annales de l’Institut Fourier
3 Ergodic Theory and Dynamical Systems
3 Boletim da Sociedade Brasileira de Matemática. Nova Série
2 Boletim da Sociedade Brasileira de Matemática
2 Publications Mathématiques
2 Topology
2 Annals of Mathematics. Second Series
2 Regular and Chaotic Dynamics
2 Moscow Mathematical Journal
1 Commentarii Mathematici Helvetici
1 Inventiones Mathematicae
1 Journal of Differential Geometry
1 Memoirs of the American Mathematical Society
1 Proceedings of the American Mathematical Society
1 SIAM Journal on Control and Optimization
1 Transactions of the Moscow Mathematical Society
1 Publicacions Matemàtiques
1 Journal of Dynamics and Differential Equations
1 Indagationes Mathematicae. New Series
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 Resenhas do Instituto do Matemática e Estatística da Universidade de São Paulo
1 Communications on Pure and Applied Analysis
1 International Journal of Applied Mathematics and Statistics
1 Astérisque
1 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge
1 Progress in Mathematics
1 Discrete and Continuous Dynamical Systems. Series S
1 Nonlinear Analysis. Theory, Methods & Applications
1 Modern Birkhäuser Classics

Publications by Year

Citations contained in zbMATH Open

86 Publications have been cited 1,854 times in 1,145 Documents Cited by Year
Canard cycles and center manifolds. Zbl 0851.34057
Dumortier, Freddy; Roussarie, Robert
241
1996
Bifurcation of planar vector fields and Hilbert’s sixteenth problem. Zbl 0898.58039
Roussarie, Robert
182
1998
On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields. Zbl 0628.34032
Roussarie, R.
141
1986
Bifurcations of planar vector fields. Nilpotent singularities and Abelian integrals. Zbl 0755.58002
Dumortier, F.; Roussarie, R.; Sotomayor, J.; Żoładek, H.
115
1991
Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part. The cusp case of codimension 3. Zbl 0608.58034
Dumortier, F.; Roussarie, R.; Sotomayor, J.
107
1987
Hilbert’s 16th problem for quadratic vector fields. Zbl 0802.34028
Dumortier, F.; Roussarie, R.; Rousseau, C.
71
1994
More limit cycles than expected in Liénard equations. Zbl 1130.34018
Dumortier, Freddy; Panazzolo, Daniel; Roussarie, Robert
59
2007
Multiple canard cycles in generalized Liénard equations. Zbl 1024.34038
Dumortier, Freddy; Roussarie, Robert
48
2001
Invariant circles in the Bogdanov-Takens bifurcation for diffeomorphisms. Zbl 0876.58032
Broer, Henk; Roussarrie, Robert; Simó, Carles
40
1996
Abelian integrals and limit cycles. Zbl 1111.34028
Dumortier, Freddy; Roussarie, Robert
40
2006
Cyclicity of common slow-fast cycles. Zbl 1233.34014
De Maesschalck, P.; Dumortier, F.; Roussarie, R.
38
2011
Existence of a singularly degenerate heteroclinic cycle in the Lorenz system and its dynamical consequences. I. Zbl 1061.34036
Kokubu, Hiroshi; Roussarie, Robert
37
2004
Elementary graphics of cyclicity 1 and 2. Zbl 0855.58043
Dumortier, F.; Roussarie, R.; Rousseau, C.
37
1994
Birth of canard cycles. Zbl 1186.34080
Dumortier, Freddy; Roussarie, Robert
36
2009
Bifurcations of cuspidal loops. Zbl 0908.58043
Dumortier, Freddy; Roussarie, Robert; Sotomayor, Jorge
32
1997
Modeles locaux de champs et de formes. Zbl 0327.57017
Roussarie, Robert
32
1976
A note on finite cyclicity property and Hilbert’s 16th problem. Zbl 0676.58046
Roussarie, R.
31
1988
Germs of diffeomorphisms in the plane. Zbl 0502.58001
Dumortier, Freddy; Rodrigues, Paulo R.; Roussarie, Robert
31
1981
Plongements dans les variétés feuilletees et classification de feuilletages sans holonomie. Zbl 0356.57017
Roussarie, R.
27
1973
Dynamics of a predator-prey model with non-monotonic response. Zbl 1129.92061
Broer, H. W.; Saleh, K.; Naudot, V.; Roussarie, R.
26
2007
Cyclicité finie des lacets et des points cuspidaux. (Finite cyclicity of loops and cusps). Zbl 0679.58037
Roussarie, Robert
25
1989
Putting a boundary to the space of Liénard equations. Zbl 1131.34036
Roussarie, Robert
22
2007
Geometric singular perturbation theory beyond normal hyperbolicity. Zbl 1007.34058
Dumortier, Freddy; Roussarie, Robert
21
2001
Topological equivalence of Reeb foliations. Zbl 0211.26602
Rosenberg, H.; Roussarie, R.
18
1970
Reeb foliations. Zbl 0198.28402
Rosenberg, H.; Roussarie, R.
17
1970
A method of desingularization for analytic two-dimensional vector field families. Zbl 0783.32019
Denkowska, Zofia; Roussarie, Robert
16
1991
Rélations de conjugaison et de cobordisme entre certains feuilletages. Zbl 0356.57018
Moussu, R.; Roussarie, R.
16
1973
Modulus of analytic classification for unfoldings of generic parabolic diffeomorphisms. Zbl 1077.37035
Mardešić, P.; Roussarie, R.; Rousseau, C.
15
2004
Canard cycles. From birth to transition. Zbl 1515.34002
De Maesschalck, Peter; Dumortier, Freddy; Roussarie, Robert
15
2022
A classification of closed orientable 3-manifolds of rank two. Zbl 0195.25404
Rosenberg, H.; Roussarie, R.; Weil, D.
15
1970
Canard cycles with two breaking parameters. Zbl 1140.34019
Dumortier, Freddy; Roussarie, Robert
15
2007
Canard cycle transition at a slow-fast passage through a jump point. (Transition de cycles canard pour un passage lent-rapide par un point de saut.) Zbl 1291.34097
De Maesschalck, Peter; Dumortier, Freddy; Roussarie, Robert
14
2014
A predator-prey model with non-monotonic response function. Zbl 1164.37318
Broer, H. W.; Naudot, V.; Roussarie, R.; Saleh, K.
13
2006
Alien limit cycles near a Hamiltonian 2-saddle cycle. Zbl 1083.34025
Caubergh, Magdalena; Dumortier, Freddy; Roussarie, Robert
11
2005
Organising centres in the semi-global analysis of dynamical systems. Zbl 1211.37020
Broer, H. W.; Naudot, V.; Roussarie, R.; Saleh, K.; Wagener, F. O. O.
11
2007
Some remarks on stability of foliations. Zbl 0313.57016
Rosenberg, Harold; Roussarie, Robert
10
1975
Perturbations of symmetric elliptic Hamiltonians of degree four. Zbl 1105.37034
Li, Chengzhi; Mardešić, Pavao; Roussarie, Robert
10
2006
Bifurcation of relaxation oscillations in dimension two. Zbl 1157.34037
Dumortier, Freddy; Roussairie, Robert
10
2007
Melnikov functions and Bautin ideal. Zbl 1081.37030
Roussarie, Robert
10
2001
On the Bogdanov-Takens bifurcation for planar diffeomorphisms. Zbl 0938.37512
Broer, H. W.; Roussarie, R.; Simó, C.
9
1993
Bifurcations of a predator-prey model with non-monotonic response function. Zbl 1096.34532
Broer, H. W.; Naudot, Vincent; Roussarie, Robert; Saleh, Khairul
9
2005
Smooth linearization of germs of \(\mathbb{R}^2\)-actions and holomorphic vector fields. Zbl 0418.58015
Dumortier, F.; Roussarie, R.
9
1980
Canard cycles of finite codimension with two breaking parameters. Zbl 1261.34044
Mamouhdi, Lylia; Roussarie, Robert
9
2012
Alien limit cycles in rigid unfoldings of a Hamiltonian 2-saddle cycle. Zbl 1138.34020
Caubergh, Magdalena; Dumortier, Freddy; Roussarie, Robert
8
2007
Canard-cycle transition at a fast-fast passage through a jump point. (Transition de cycles canard pour un passage rapide-rapide par un point de saut.) Zbl 1287.34044
De Maesschalck, Peter; Dumortier, Freddy; Roussarie, Robert
8
2014
Almost planar homoclinic loops in \(\mathbb{R}^ 3\). Zbl 0849.34036
Roussarie, Robert; Rousseau, Christiane
8
1996
Exponential confinement of chaos in the bifurcation sets of real analytic diffeomorphisms. Zbl 1198.37069
Broer, Henk W.; Roussarie, Robert
8
2001
Une condition suffisante pour qu’un feuilletage soit sans holonomie. Zbl 0196.26902
Moussu, R.; Roussarie, R.
8
1970
Sur les feuilletages des variétés de dimension trois. Zbl 0208.25702
Roussarie, R.
8
1971
Weak and continuous equivalences for families on line diffeomorphisms. Zbl 0641.58037
Roussarie, R.
7
1987
Analysis of a slow-fast system near a cusp singularity. Zbl 1341.34059
Jardón-Kojakhmetov, H.; Broer, Henk W.; Roussarie, R.
7
2016
Multi-layer canard cycles and translated power functions. Zbl 1355.34055
Dumortier, Freddy; Roussarie, Robert
6
2008
On the geometric structure of the class of planar quadratic differential systems. Zbl 1043.34035
Roussarie, Robert; Schlomiuk, Dana
6
2002
Smoothness property for bifurcation diagrams. Zbl 0888.34032
Roussarie, R.
5
1997
The cyclicity of the elliptic segment loops of the reversible quadratic Hamiltonian systems under quadratic perturbations. Zbl 1071.34032
Li, Chengzhi; Roussarie, Robert
5
2004
Detecting alien limit cycles near a Hamiltonian 2-saddle cycle. Zbl 1194.34084
Luca, Stijn; Dumortier, Freddy; Caubergh, Magdalena; Roussarie, Robert
5
2009
Techniques in the theory of local bifurcations: Cyclicity and desingularization. Zbl 0791.58079
Roussarie, Robert
5
1993
A study of the Bogdanov-Takens bifurcation. Zbl 0848.34022
Roussarie, R.; Wagener, F.
4
1995
Sur l’isotopie des formes fermées en dimension 3. Zbl 0467.58004
Ngo Van Que; Roussarie, Robert
4
1981
Germes de difféomorphismes et de champs de vecteurs en classe de différentiabilite finie. Zbl 0488.58005
Dumortier, F.; Roussarie, R.
4
1983
Smooth normal linearization of vector fields near lines of singularities. Zbl 1221.34104
Dumortier, Freddy; Roussarie, Robert
4
2010
Bifurcations of cuspidal loops preserving nilpotent singularities. Zbl 1090.37037
Panazzolo, D.; Roussarie, R.
4
2005
On the saddle loop bifurcation. Zbl 0731.34010
Dumortier, F.; Roussarie, R.
4
1990
Extension du ’closing lemma’ aux actions de \(R^ 2\) sur les variétés de \(\dim=3\). Zbl 0202.55101
Roussarie, Robert; Weil, Daniel
4
1970
A numerical survey on the Takens-Bogdanov bifurcation for diffeomorphisms. Zbl 1026.37517
Simó, Carles; Broer, Henk; Roussarie, Robert
3
1991
Bifurcations of planar vector fields and Hilbert’s sixteenth problem. Reprint of the 1998 edition. Zbl 1278.37002
Roussarie, Robert
3
2013
Some applications of the Poincaré-Bendixson theorem. Zbl 1480.37041
Roussarie, Robert
3
2021
Déformations génériques des cusps. (Generic deformations of cusps). Zbl 0656.58002
Roussarie, R.
3
1987
Un exemple de feuilletage sur \(S^ 3\). Zbl 0198.28403
Laudenbach, F.; Roussarie, R.
3
1970
Les feuilles exceptionnelles ne sont pas exceptionnelles. Zbl 0209.54705
Rosenberg, H.; Roussarie, R.
3
1970
Desingularization of unfoldings of cuspidal loops. Zbl 0765.58023
Roussarie, R.
2
1992
A Poincaré-Bendixson theorem for analytic families of vector fields. Zbl 0837.58023
Panazzolo, D.; Roussarie, R.
2
1995
Linearisation différentiable des germes singuliers d’actions de \(R^2\) et de champs de vecteurs holomorphes. Zbl 0367.58003
Dumortier, Freddy; Roussarie, Robert
2
1977
Quasi-regularity property for unfoldings of hyperbolic polycycles. Zbl 0810.58028
El Morsalani, M.; Mourtada, A.; Roussarie, R.
2
1994
A topological study of planar vector field singularities. Zbl 1448.34068
Roussarie, Robert
2
2020
Existence of a traveling wave solution in a free interface problem with fractional order kinetics. Zbl 1459.35408
Brauner, Claude-Michel; Roussarie, Robert; Shang, Peipei; Zhang, Linwan
2
2021
Finite cyclicity of some center graphics through a nilpotent point inside quadratic systems. Zbl 1334.34077
Roussarie, Robert; Rousseau, Christiane
2
2015
Bifurcations of planar vector fields. Proceedings of a meeting held in Luminy, France, Sept. 18-22, 1989. Zbl 0707.00011
1
1990
Quasi-conformal mapping theorem and bifurcations. Zbl 0930.30019
Roussarie, Robert
1
1998
Generic unfoldings with the same bifurcation diagram which are not \((C^0,C^0)\)-equivalent. Zbl 0901.58033
Annabi, H.; Annabi, M. L.; Roussarie, R.
1
1997
Constructions de feuilletages (d’apres W. Thurston). Zbl 0384.57012
Roussarie, Robert
1
1978
Singularites des champs de vecteurs et existence d’intégrales premieres. Zbl 0414.58025
Roussarie, R.
1
1976
Topological invariants as numbers of translation. Zbl 0575.58026
Palis, J.; Roussarie, R.
1
1985
Finite cyclicity of nilpotent graphics of pp-type surrounding a center. Zbl 1165.34019
Roussarie, R.; Rousseau, C.
1
2008
Extension of catastrophe theory to Dulac unfoldings. Zbl 1103.37033
Broer, H. W.; Naudot, V.; Roussarie, R.
1
2005
Sur les feuilletages des variétés orientables de dimension 3. Zbl 0212.56301
Roussarie, R.
1
1969
Canard cycles. From birth to transition. Zbl 1515.34002
De Maesschalck, Peter; Dumortier, Freddy; Roussarie, Robert
15
2022
Some applications of the Poincaré-Bendixson theorem. Zbl 1480.37041
Roussarie, Robert
3
2021
Existence of a traveling wave solution in a free interface problem with fractional order kinetics. Zbl 1459.35408
Brauner, Claude-Michel; Roussarie, Robert; Shang, Peipei; Zhang, Linwan
2
2021
A topological study of planar vector field singularities. Zbl 1448.34068
Roussarie, Robert
2
2020
Analysis of a slow-fast system near a cusp singularity. Zbl 1341.34059
Jardón-Kojakhmetov, H.; Broer, Henk W.; Roussarie, R.
7
2016
Finite cyclicity of some center graphics through a nilpotent point inside quadratic systems. Zbl 1334.34077
Roussarie, Robert; Rousseau, Christiane
2
2015
Canard cycle transition at a slow-fast passage through a jump point. (Transition de cycles canard pour un passage lent-rapide par un point de saut.) Zbl 1291.34097
De Maesschalck, Peter; Dumortier, Freddy; Roussarie, Robert
14
2014
Canard-cycle transition at a fast-fast passage through a jump point. (Transition de cycles canard pour un passage rapide-rapide par un point de saut.) Zbl 1287.34044
De Maesschalck, Peter; Dumortier, Freddy; Roussarie, Robert
8
2014
Bifurcations of planar vector fields and Hilbert’s sixteenth problem. Reprint of the 1998 edition. Zbl 1278.37002
Roussarie, Robert
3
2013
Canard cycles of finite codimension with two breaking parameters. Zbl 1261.34044
Mamouhdi, Lylia; Roussarie, Robert
9
2012
Cyclicity of common slow-fast cycles. Zbl 1233.34014
De Maesschalck, P.; Dumortier, F.; Roussarie, R.
38
2011
Smooth normal linearization of vector fields near lines of singularities. Zbl 1221.34104
Dumortier, Freddy; Roussarie, Robert
4
2010
Birth of canard cycles. Zbl 1186.34080
Dumortier, Freddy; Roussarie, Robert
36
2009
Detecting alien limit cycles near a Hamiltonian 2-saddle cycle. Zbl 1194.34084
Luca, Stijn; Dumortier, Freddy; Caubergh, Magdalena; Roussarie, Robert
5
2009
Multi-layer canard cycles and translated power functions. Zbl 1355.34055
Dumortier, Freddy; Roussarie, Robert
6
2008
Finite cyclicity of nilpotent graphics of pp-type surrounding a center. Zbl 1165.34019
Roussarie, R.; Rousseau, C.
1
2008
More limit cycles than expected in Liénard equations. Zbl 1130.34018
Dumortier, Freddy; Panazzolo, Daniel; Roussarie, Robert
59
2007
Dynamics of a predator-prey model with non-monotonic response. Zbl 1129.92061
Broer, H. W.; Saleh, K.; Naudot, V.; Roussarie, R.
26
2007
Putting a boundary to the space of Liénard equations. Zbl 1131.34036
Roussarie, Robert
22
2007
Canard cycles with two breaking parameters. Zbl 1140.34019
Dumortier, Freddy; Roussarie, Robert
15
2007
Organising centres in the semi-global analysis of dynamical systems. Zbl 1211.37020
Broer, H. W.; Naudot, V.; Roussarie, R.; Saleh, K.; Wagener, F. O. O.
11
2007
Bifurcation of relaxation oscillations in dimension two. Zbl 1157.34037
Dumortier, Freddy; Roussairie, Robert
10
2007
Alien limit cycles in rigid unfoldings of a Hamiltonian 2-saddle cycle. Zbl 1138.34020
Caubergh, Magdalena; Dumortier, Freddy; Roussarie, Robert
8
2007
Abelian integrals and limit cycles. Zbl 1111.34028
Dumortier, Freddy; Roussarie, Robert
40
2006
A predator-prey model with non-monotonic response function. Zbl 1164.37318
Broer, H. W.; Naudot, V.; Roussarie, R.; Saleh, K.
13
2006
Perturbations of symmetric elliptic Hamiltonians of degree four. Zbl 1105.37034
Li, Chengzhi; Mardešić, Pavao; Roussarie, Robert
10
2006
Alien limit cycles near a Hamiltonian 2-saddle cycle. Zbl 1083.34025
Caubergh, Magdalena; Dumortier, Freddy; Roussarie, Robert
11
2005
Bifurcations of a predator-prey model with non-monotonic response function. Zbl 1096.34532
Broer, H. W.; Naudot, Vincent; Roussarie, Robert; Saleh, Khairul
9
2005
Bifurcations of cuspidal loops preserving nilpotent singularities. Zbl 1090.37037
Panazzolo, D.; Roussarie, R.
4
2005
Extension of catastrophe theory to Dulac unfoldings. Zbl 1103.37033
Broer, H. W.; Naudot, V.; Roussarie, R.
1
2005
Existence of a singularly degenerate heteroclinic cycle in the Lorenz system and its dynamical consequences. I. Zbl 1061.34036
Kokubu, Hiroshi; Roussarie, Robert
37
2004
Modulus of analytic classification for unfoldings of generic parabolic diffeomorphisms. Zbl 1077.37035
Mardešić, P.; Roussarie, R.; Rousseau, C.
15
2004
The cyclicity of the elliptic segment loops of the reversible quadratic Hamiltonian systems under quadratic perturbations. Zbl 1071.34032
Li, Chengzhi; Roussarie, Robert
5
2004
On the geometric structure of the class of planar quadratic differential systems. Zbl 1043.34035
Roussarie, Robert; Schlomiuk, Dana
6
2002
Multiple canard cycles in generalized Liénard equations. Zbl 1024.34038
Dumortier, Freddy; Roussarie, Robert
48
2001
Geometric singular perturbation theory beyond normal hyperbolicity. Zbl 1007.34058
Dumortier, Freddy; Roussarie, Robert
21
2001
Melnikov functions and Bautin ideal. Zbl 1081.37030
Roussarie, Robert
10
2001
Exponential confinement of chaos in the bifurcation sets of real analytic diffeomorphisms. Zbl 1198.37069
Broer, Henk W.; Roussarie, Robert
8
2001
Bifurcation of planar vector fields and Hilbert’s sixteenth problem. Zbl 0898.58039
Roussarie, Robert
182
1998
Quasi-conformal mapping theorem and bifurcations. Zbl 0930.30019
Roussarie, Robert
1
1998
Bifurcations of cuspidal loops. Zbl 0908.58043
Dumortier, Freddy; Roussarie, Robert; Sotomayor, Jorge
32
1997
Smoothness property for bifurcation diagrams. Zbl 0888.34032
Roussarie, R.
5
1997
Generic unfoldings with the same bifurcation diagram which are not \((C^0,C^0)\)-equivalent. Zbl 0901.58033
Annabi, H.; Annabi, M. L.; Roussarie, R.
1
1997
Canard cycles and center manifolds. Zbl 0851.34057
Dumortier, Freddy; Roussarie, Robert
241
1996
Invariant circles in the Bogdanov-Takens bifurcation for diffeomorphisms. Zbl 0876.58032
Broer, Henk; Roussarrie, Robert; Simó, Carles
40
1996
Almost planar homoclinic loops in \(\mathbb{R}^ 3\). Zbl 0849.34036
Roussarie, Robert; Rousseau, Christiane
8
1996
A study of the Bogdanov-Takens bifurcation. Zbl 0848.34022
Roussarie, R.; Wagener, F.
4
1995
A Poincaré-Bendixson theorem for analytic families of vector fields. Zbl 0837.58023
Panazzolo, D.; Roussarie, R.
2
1995
Hilbert’s 16th problem for quadratic vector fields. Zbl 0802.34028
Dumortier, F.; Roussarie, R.; Rousseau, C.
71
1994
Elementary graphics of cyclicity 1 and 2. Zbl 0855.58043
Dumortier, F.; Roussarie, R.; Rousseau, C.
37
1994
Quasi-regularity property for unfoldings of hyperbolic polycycles. Zbl 0810.58028
El Morsalani, M.; Mourtada, A.; Roussarie, R.
2
1994
On the Bogdanov-Takens bifurcation for planar diffeomorphisms. Zbl 0938.37512
Broer, H. W.; Roussarie, R.; Simó, C.
9
1993
Techniques in the theory of local bifurcations: Cyclicity and desingularization. Zbl 0791.58079
Roussarie, Robert
5
1993
Desingularization of unfoldings of cuspidal loops. Zbl 0765.58023
Roussarie, R.
2
1992
Bifurcations of planar vector fields. Nilpotent singularities and Abelian integrals. Zbl 0755.58002
Dumortier, F.; Roussarie, R.; Sotomayor, J.; Żoładek, H.
115
1991
A method of desingularization for analytic two-dimensional vector field families. Zbl 0783.32019
Denkowska, Zofia; Roussarie, Robert
16
1991
A numerical survey on the Takens-Bogdanov bifurcation for diffeomorphisms. Zbl 1026.37517
Simó, Carles; Broer, Henk; Roussarie, Robert
3
1991
On the saddle loop bifurcation. Zbl 0731.34010
Dumortier, F.; Roussarie, R.
4
1990
Bifurcations of planar vector fields. Proceedings of a meeting held in Luminy, France, Sept. 18-22, 1989. Zbl 0707.00011
1
1990
Cyclicité finie des lacets et des points cuspidaux. (Finite cyclicity of loops and cusps). Zbl 0679.58037
Roussarie, Robert
25
1989
A note on finite cyclicity property and Hilbert’s 16th problem. Zbl 0676.58046
Roussarie, R.
31
1988
Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part. The cusp case of codimension 3. Zbl 0608.58034
Dumortier, F.; Roussarie, R.; Sotomayor, J.
107
1987
Weak and continuous equivalences for families on line diffeomorphisms. Zbl 0641.58037
Roussarie, R.
7
1987
Déformations génériques des cusps. (Generic deformations of cusps). Zbl 0656.58002
Roussarie, R.
3
1987
On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields. Zbl 0628.34032
Roussarie, R.
141
1986
Topological invariants as numbers of translation. Zbl 0575.58026
Palis, J.; Roussarie, R.
1
1985
Germes de difféomorphismes et de champs de vecteurs en classe de différentiabilite finie. Zbl 0488.58005
Dumortier, F.; Roussarie, R.
4
1983
Germs of diffeomorphisms in the plane. Zbl 0502.58001
Dumortier, Freddy; Rodrigues, Paulo R.; Roussarie, Robert
31
1981
Sur l’isotopie des formes fermées en dimension 3. Zbl 0467.58004
Ngo Van Que; Roussarie, Robert
4
1981
Smooth linearization of germs of \(\mathbb{R}^2\)-actions and holomorphic vector fields. Zbl 0418.58015
Dumortier, F.; Roussarie, R.
9
1980
Constructions de feuilletages (d’apres W. Thurston). Zbl 0384.57012
Roussarie, Robert
1
1978
Linearisation différentiable des germes singuliers d’actions de \(R^2\) et de champs de vecteurs holomorphes. Zbl 0367.58003
Dumortier, Freddy; Roussarie, Robert
2
1977
Modeles locaux de champs et de formes. Zbl 0327.57017
Roussarie, Robert
32
1976
Singularites des champs de vecteurs et existence d’intégrales premieres. Zbl 0414.58025
Roussarie, R.
1
1976
Some remarks on stability of foliations. Zbl 0313.57016
Rosenberg, Harold; Roussarie, Robert
10
1975
Plongements dans les variétés feuilletees et classification de feuilletages sans holonomie. Zbl 0356.57017
Roussarie, R.
27
1973
Rélations de conjugaison et de cobordisme entre certains feuilletages. Zbl 0356.57018
Moussu, R.; Roussarie, R.
16
1973
Sur les feuilletages des variétés de dimension trois. Zbl 0208.25702
Roussarie, R.
8
1971
Topological equivalence of Reeb foliations. Zbl 0211.26602
Rosenberg, H.; Roussarie, R.
18
1970
Reeb foliations. Zbl 0198.28402
Rosenberg, H.; Roussarie, R.
17
1970
A classification of closed orientable 3-manifolds of rank two. Zbl 0195.25404
Rosenberg, H.; Roussarie, R.; Weil, D.
15
1970
Une condition suffisante pour qu’un feuilletage soit sans holonomie. Zbl 0196.26902
Moussu, R.; Roussarie, R.
8
1970
Extension du ’closing lemma’ aux actions de \(R^ 2\) sur les variétés de \(\dim=3\). Zbl 0202.55101
Roussarie, Robert; Weil, Daniel
4
1970
Un exemple de feuilletage sur \(S^ 3\). Zbl 0198.28403
Laudenbach, F.; Roussarie, R.
3
1970
Les feuilles exceptionnelles ne sont pas exceptionnelles. Zbl 0209.54705
Rosenberg, H.; Roussarie, R.
3
1970
Sur les feuilletages des variétés orientables de dimension 3. Zbl 0212.56301
Roussarie, R.
1
1969
all top 5

Cited by 1,068 Authors

59 Han, Maoan
45 Dumortier, Freddy
44 Llibre, Jaume
34 De Maesschalck, Peter
33 Roussarie, Robert
23 Huzak, Renato
23 Rousseau, Christiane
23 Torregrosa, Joan
22 Huang, Jicai
22 Kühn, Christian
21 Uldall Kristiansen, K.
20 Villadelprat, Jordi
19 Zhang, Xiang
18 Broer, Henk W.
18 Li, Chengzhi
18 Mardešić, Pavao
18 Wechselberger, Martin
16 Teixeira, Marco Antonio
15 Gavrilov, Lubomir
15 Szmolyan, Peter
14 Algaba, Antonio
14 Gasull, Armengol
14 Rodríguez-Luis, Alejandro J.
14 Xiao, Dongmei
14 Yang, Junmin
14 Zhu, Huaiping
13 Yu, Pei
13 Zhao, Yulin
12 Romanovskiĭ, Valeriĭ Georgievich
11 Da Silva, Paulo Ricardo
11 Desroches, Mathieu
11 Kaper, Tasso J.
11 Simó, Carles
11 Zang, Hong
11 Zhao, Liqin
10 Artés, Joan Carles
10 Françoise, Jean-Pierre
10 García, Isaac A.
10 Jardón-Kojakhmetov, Hildeberto
10 Popović, Nikola
10 Wang, Haijun
10 Zhang, Tonghua
9 Bonckaert, Patrick
9 Caubergh, Magdalena
9 Marín Pérez, David
9 Oliveira, Regilene D. S.
9 Ruan, Shigui
8 Buzzi, Claudio Aguinaldo
8 Gaiko, Valery A.
8 Giné, Jaume
8 Krupa, Martin
8 Li, Xianyi
8 Lu, Min
8 Naudot, Vincent
8 Resman, Maja
7 Asheghi, Rasoul
7 Chen, Hebai
7 Garcia, Ronaldo A.
7 Jelbart, Samuel
7 Liu, Changjian
7 Mañosas, Francesc
7 Schlomiuk, Dana I.
7 Sotomayor, Jorge
7 Wang, Hao
7 Zangeneh, Hamid R. Z.
7 Županović, Vesna
6 Grau, Maite
6 Iliev, Iliya Dimov
6 Il’yashenko, Yuliĭ Sergeevich
6 Kazemi, Rasool
6 Merino, Manuel
6 Qiao, Yuanhua
6 Qin, Bo-Wei
6 Rabanal, Roland
6 Rojas, David
6 Saavedra, Mariana
6 Shan, Chunhua
6 Shen, Jianhe
6 Sun, Xianbo
6 Wang, Jihua
6 Yomdin, Yosef
6 Zhang, Zhifen
5 Banerjee, Malay
5 Brøns, Morten
5 Chung, Kwok-Wai
5 Deng, Shengfu
5 Engel, Maximilian
5 Freire Macías, Emilio
5 Hogan, S. John
5 Li, Ji
5 Liu, Xingbo
5 Miranda Martins, Ricardo
5 Novaes, Douglas Duarte
5 Novikov, Dmitry
5 Prohens, Rafel
5 Rezende, Alex Carlucci
5 Schecter, Stephen
5 Sterk, Alef E.
5 Teruel, Antonio E.
5 Vo, Theodore
...and 968 more Authors
all top 5

Cited in 179 Serials

175 Journal of Differential Equations
91 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
52 Qualitative Theory of Dynamical Systems
44 Journal of Mathematical Analysis and Applications
39 Physica D
35 Journal of Dynamics and Differential Equations
32 Annales de l’Institut Fourier
26 SIAM Journal on Applied Dynamical Systems
23 Nonlinearity
22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
22 Nonlinear Dynamics
20 Transactions of the American Mathematical Society
18 Journal of Nonlinear Science
16 Journal of Dynamical and Control Systems
14 Chaos, Solitons and Fractals
14 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
14 Nonlinear Analysis. Real World Applications
13 Discrete and Continuous Dynamical Systems. Series B
12 Inventiones Mathematicae
12 Proceedings of the American Mathematical Society
12 Ergodic Theory and Dynamical Systems
11 Journal of Mathematical Biology
11 Comptes Rendus. Mathématique. Académie des Sciences, Paris
10 Applied Mathematics and Computation
10 Discrete and Continuous Dynamical Systems
10 Communications in Nonlinear Science and Numerical Simulation
9 Bulletin des Sciences Mathématiques
9 Chaos
9 Discrete and Continuous Dynamical Systems. Series S
9 Nonlinear Analysis. Theory, Methods & Applications
8 Publications Mathématiques
8 Topology and its Applications
8 Journal of Difference Equations and Applications
8 Communications on Pure and Applied Analysis
7 Science in China. Series A
6 Advances in Mathematics
6 Acta Mathematica Sinica. English Series
6 Dynamical Systems
6 Journal of Applied Analysis and Computation
5 Mathematical Methods in the Applied Sciences
5 Rocky Mountain Journal of Mathematics
5 Mathematics and Computers in Simulation
5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 Indagationes Mathematicae. New Series
5 Regular and Chaotic Dynamics
5 The Journal of Mathematical Neuroscience
4 Computers & Mathematics with Applications
4 Israel Journal of Mathematics
4 Mathematical Biosciences
4 Mathematical Notes
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Journal of Geometry and Physics
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Functional Analysis and its Applications
4 Geometriae Dedicata
4 Transactions of the Moscow Mathematical Society
4 Acta Applicandae Mathematicae
4 Mathematical and Computer Modelling
4 SIAM Journal on Mathematical Analysis
4 Boletim da Sociedade Brasileira de Matemática. Nova Série
4 Bulletin of the Brazilian Mathematical Society. New Series
4 International Journal of Biomathematics
3 Journal of Fluid Mechanics
3 Bulletin of Mathematical Biology
3 Bulletin de la Société Mathématique de France
3 Duke Mathematical Journal
3 Journal of Functional Analysis
3 Mathematische Zeitschrift
3 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
3 Applied Mathematics and Mechanics. (English Edition)
3 Chinese Annals of Mathematics. Series B
3 Acta Mathematicae Applicatae Sinica. English Series
3 Applied Mathematics Letters
3 SIAM Review
3 Bulletin of the American Mathematical Society. New Series
3 Journal of Mathematical Sciences (New York)
3 Mathematical Modelling of Natural Phenomena
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Physics Reports
2 Russian Mathematical Surveys
2 Acta Mathematica
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 SIAM Journal on Control and Optimization
2 Expositiones Mathematicae
2 Acta Mathematica Sinica. New Series
2 Doklady Mathematics
2 Differential Equations and Dynamical Systems
2 Abstract and Applied Analysis
2 Discrete Dynamics in Nature and Society
2 Annals of Mathematics. Second Series
2 Communications in Contemporary Mathematics
2 Journal of Biological Systems
2 Mathematical Modelling and Analysis
2 Moscow Mathematical Journal
2 Journal of Applied Mathematics and Computing
2 Advances in Difference Equations
2 Proceedings of the Steklov Institute of Mathematics
2 Journal of Computational Dynamics
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
...and 79 more Serials
all top 5

Cited in 47 Fields

835 Ordinary differential equations (34-XX)
484 Dynamical systems and ergodic theory (37-XX)
193 Biology and other natural sciences (92-XX)
81 Manifolds and cell complexes (57-XX)
46 Partial differential equations (35-XX)
46 Global analysis, analysis on manifolds (58-XX)
42 Mechanics of particles and systems (70-XX)
32 Several complex variables and analytic spaces (32-XX)
30 Differential geometry (53-XX)
25 Numerical analysis (65-XX)
17 Difference and functional equations (39-XX)
16 Algebraic geometry (14-XX)
16 Functions of a complex variable (30-XX)
10 Fluid mechanics (76-XX)
10 Systems theory; control (93-XX)
7 Measure and integration (28-XX)
7 Algebraic topology (55-XX)
7 Probability theory and stochastic processes (60-XX)
7 Geophysics (86-XX)
6 Nonassociative rings and algebras (17-XX)
6 Operator theory (47-XX)
5 Approximations and expansions (41-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Functional analysis (46-XX)
4 Computer science (68-XX)
4 Optics, electromagnetic theory (78-XX)
3 Real functions (26-XX)
3 Special functions (33-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Mechanics of deformable solids (74-XX)
3 Statistical mechanics, structure of matter (82-XX)
3 Relativity and gravitational theory (83-XX)
3 Information and communication theory, circuits (94-XX)
2 General and overarching topics; collections (00-XX)
2 Field theory and polynomials (12-XX)
2 Commutative algebra (13-XX)
2 Topological groups, Lie groups (22-XX)
2 Quantum theory (81-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Number theory (11-XX)
1 Potential theory (31-XX)
1 Integral equations (45-XX)
1 Geometry (51-XX)
1 Statistics (62-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year